How Gauss solved the integral of e^(-x^2) from 0 to infinity bprp calculus basics 2023-02-06 | Here's how Gauss solved the Gaussian Integral, i.e. the integral of e^(-x^2) from 0 to infinity, by using the polar coordinate. This is a must-know integral for your multi-variable calculus class! To see how Laplace solved the Gaussian integral, click here: youtu.be/tCPQSobqFh4-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
The calculus 3 version of implicit differentiation bprp calculus basics 2024-10-08 | We will see how to find dz/dx and dz/dy using the Calculus 3 version of implicit differentiation for these multivariable equations. 0:00 example 12:38 example 25:30 example 3-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Calculus 3: how to find all second partial derivatives bprp calculus basics 2024-10-08 | Calculus 3 tutorial covering how to find all the second partial derivative of a multivariable function. Subscribe to @bprpcalculusbasics for more calculus tutorials. Support this channel: www.patreon.com/blackpenredpen-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Calculus 3: How to find the parametric equation of the tangent line to a curve in space bprp calculus basics 2024-10-07 | These problems are from Multivariable Calculus by James Stewart, 9th ed. This tutorial will clarify how to find the parametric equation of the tangent line to a curve in space. We will cover 3 examples. -----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Calculus 3: How to reparametrize a vector function (with respect to arc length) bprp calculus basics 2024-10-06 | This calculus tutorial covers how to reparametrize a vector function r(t)=(2/(t^2+1)-1)i+2t/(t^2+1)j with respect to the arc length starting at (1,0) to t. This question is from the Multivariable Calculus textbook by James Stewart, 9th ed. Subscribe to @bprpcalculusbasics for more Calculus 3 tutorials. 0:00 How to reparametrize a vector function11:19 The graph-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
At what point does y=ln(x) have the maximum curvature? bprp calculus basics 2024-10-06 | This calculus tutorial goes over how to find the maximum curvature of the function f(x)=ln(x). We will also discuss what will happen to the curvature if x approaches infinity. This is a common Calculus 3 problem, which is included in the Multivariable Calculus textbook by James Stewart. Subscribe to @bprpcalculusbasics for more calculus tutorials. Here's a proof of the curvature formula: youtu.be/kYZCT0XOYuY-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Calculus 3: how to find the curvature given a vector function bprp calculus basics 2024-10-05 | Learn how to find the curvature of a vector function r(t)=ti+t^2j+t^3k at t=1. This question is from the Calculus textbook by James Stewart. Here's the proof for the curvature formula: youtu.be/qB9MrgAbaro-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
βYou know something has gone wrong when he switches to Chineseβ bprp calculus basics 2024-10-05 | This still happens, haha!Correct version: youtu.be/qGuKWjdAazIProof of the curvature formula youtu.be/qB9MrgAbaro?si=RfxDa0d6_3iVs-oH
Calculus 1: JUST THE DERIVATIVE bprp calculus basics 2024-10-04 | How do we take the derivative? Here we will go over 30 typical calculus 1 derivative problems and focus on the differentiation step. This video will help you master the derivative techniques including the power rule, product rule, quotient rule, chain rule, implicit differentiation, and more!Here's the free file: patreon.com/posts/calc-1-focus-on-113341690Answer key: patreon.com/posts/calc-1-focus-on-113341988Check out 100 derivatives: youtu.be/AegzQ_dip8k?si=nTtoSMo8PVKMqn5N-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
How to find the average velocity and the average speed? (no need for calculus derivative) bprp calculus basics 2024-09-30 | This calculus tutorial helps you understand the difference between finding the average velocity and the average speed over a time interval. Another example of average velocity vs average speed (with derivative) youtu.be/UPVUMvgB7_I?si=mQHuMWCR8NxzRRDyWatch this video for how to find the instantaneous velocity: youtu.be/ApVEVPz-MgY?si=rpODZJIWaN0pkwGY-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
The answer is correct but I made a mistake when I did LHopitals Rule for the 2nd time. See pinned* bprp calculus basics 2024-09-30 | This calculus tutorial will help you understand how to evaluate the limit of 1/sin(x)-1/x as x goes to 0 by using L'Hopital's rule. This is a typical calculus 1 or calculus 2 limit and a common exam problem. It is in the form of inf-inf but is it 0?Source: reddit.com/r/calculus/comments/1fnj9lr/help-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
How to find the domain of a vector function, calculus 3 bprp calculus basics 2024-09-29 | Learn how to find the domain of a vector function. This question is from James Stewart multivariable calculus textbook.
Interesting dot product problem from James Stewart Multivariable calculus textbook bprp calculus basics 2024-09-29 | Interesting dot product problem from James Stewart Multivariable calculus textbookYou can help support the channel by becoming a patron: www.patreon.com/blackpenredpen thank you!
The answer is correct but the way I did it was wrong. I have to LHopitals but how? Reddit calculus bprp calculus basics 2024-09-27 | How do we evaluate the limit of x^tan(x) as x goes to 0+? This is a must-know calculus 1 limit that requires L'Hopital's Rule. Make sure we don't just write 0^0 approaches 1 since 0^0 is a limit indeterminate form. 0^0 approaches 0: youtu.be/X65LEl7GFOw?si=_CmfC7dugzMBi7Es0^0 approaches e: youtu.be/zyQtN7Zbi-c?si=LTHe1oki68oeCPYvThis question is from Reddit: reddit.com/r/calculus/s/zv0jMxpK9R-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Limit with 0^0 form but multivariable version bprp calculus basics 2024-09-25 | I asked this limit question on my Instagram: instagram.com/p/DASuGu-RPYq/?igsh=MzRlODBiNWFlZA== and only 46% got this right. Can we use polar coordinates to help use evaluate this limit or how do we show this limit does not exist.How to evaluate the limit of a multi-variable function (6 methods you need to know): youtu.be/FJ-ofPVY5P8?si=FHacMMc3Hi9n3N-CHow to show the limit of a multivariable function does not exist: youtu.be/yGPsofTdtQw-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
When should we set the denominator=0 when finding the critical numbers? bprp calculus basics 2024-09-25 | When we are trying to find the critical numbers of a function, when should we set the denominator equal to 0? Remember the definition of a critical number of a function. It is a number c so that either f'(c)=0 or f'(c) does not exist. To find c when f'(c) doesn't exist, we also need to make sure that c is in the domain of the original function f. These two examples will make this idea clear!-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
A *secret* for evaluating limits algebraically with 0/0 indeterminate form! Calculus 1 tip bprp calculus basics 2024-09-24 | Here's a tip when evaluating a limit with the indeterminate form of 0/0. This will help you with your Calculus 1 class when you are going over solving limits algebraically. Subscribe to @bprpcalculusbasics for more calculus tutorials!-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Helping you with the integral of 1/(x^2*(x^2+1)^(3/2)) using trigonometric substitution, Calculus 2 bprp calculus basics 2024-09-24 | Learn how to use trigonometric substitution for the integral of 1/(x^2*(x^2+1)^(3/2)). This question is from Threads: threads.net/@yusyun.1211/post/DAIUlLSSUQP/?xmt=AQGzoJSw1fWPjDMIem7F9p6FoAc50HNqPLF_JpMdh1ytqQ-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #maths
How to find the derivative of x^3 with the definition of derivative! Calculus 1 tutorial bprp calculus basics 2024-09-24 | This calculus 1 tutorial will help you understand how to use the definition of the derivative to differentiate x^3. This is a must-know question in your calculus 1 class. Best of luck and you can subscribe @bprpcalculusbasics for more calculus tutorials that will help you with your class. -----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Domain, range, vertical & horizontal asymptotes, and removable discontinuity of a rational function bprp calculus basics 2024-09-24 | How to find the domain, range, removable discontinuity, vertical asymptote, and horizontal asymptote of a rational function. This is a must-know topic for both of your precalculus and calculus 1 classes. Subscribe to @bprpcalculusbasics for more calculus basics. More examples: youtu.be/4bB9_rCBqg8-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
How would you go about solving this? Limit of x/sqrt(x^2+1) as x goes to infinity. Reddit inf/inf bprp calculus basics 2024-09-22 | How do we evaluate the limit of x/sqrt(x^2+1) as x goes to infinity? This calculus tutorial covers the standard way and also a shortcut of evaluating the limit in the infinity over infinity indeterminate form. Subscribe to @bprpcalculusbasics for more calculus tutorials. Reddit reddit.com/r/calculus/s/hVAlhK2kUr-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
How do I do this? Calculus limit inf-inf form with LHopitals Rule! Reddit r/calculus bprp calculus basics 2024-09-20 | Learn how to evaluate the limit of ln(1-cos(x))-ln(x^2) as x goes to infinity with L'Hospital's rule. We first need to combine the logarithms together and then work out the limit inside out. Subscribe for more calculus tutorials. This question is from Reddit r/calculus reddit.com/r/calculus/s/psL6ysZ9qo-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Why cant I do this? Challenge calculus limit problem. Reddit r/calculus bprp calculus basics 2024-09-20 | We are going to evaluate the limit of sqrt(x^2+4x)-x as x goes to infinity. Check out more similar calculus tutorials: youtube.com/watch?v=_ZCijObsrHQThis question is from Reddit reddit.com/r/calculus/s/ijjpzoXjOv-----------------------------Ask me calculus on Threads: threads.net/@blackpenredpenSupport this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Can someone help me please? Integral of abs(sin(x)) from 0 to 2pi. Reddit Calculus bprp calculus basics 2024-09-19 | Learn how to evaluate the definite integral of abs(sin(x)) from 0 to 2pi for your calculus class. Subscribe to @bprpcalculusbasics for more calculus tutorials. This question is from Reddit r/calculus reddit.com/r/calculus/s/krOK4JrQkqAsk me calculus on Threads: threads.net/@blackpenredpen-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Is there a downside to the DI method? Or do we still need Integration by parts? Reddit Calculus bprp calculus basics 2024-09-18 | Is there a downside to the DI method? Of course not! The DI method is the same as the traditional u-dv integration by parts. The DI method is just an easier way for you to organize your work when you have to do any integrals that require IBP. All 3 stops for the DI method: youtu.be/2I-_SV8cwsw?si=aLuvuM4RjED45ganIf your calculus teacher doesn't believe in the DI method, send them this video: youtu.be/xFk9cZYhFrw?si=amjdt8pHTDTjbQUMThis question is from Reddit: reddit.com/r/calculus/s/MBlP36Wqi5Ask me calculus on Threads: threads.net/@blackpenredpen-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial
Calculus 3: How to linearize a multivariable function bprp calculus basics 2024-09-05 | Learn how to linearize the multivariable function f(x,y)=1+xln(xy-5) at (2,3). This is a question from the 9th edition Multi-variable calculus textbook by James Stewart. Subscribe for more calculus tutorials @bprpcalculusbasics Ask me calculus on Threads: threads.net/@blackpenredpen-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#math #bprpcalculus #calculus3
Calculus 1: Given x+2y=4, find the max of sqrt(x)+sqrt(y) bprp calculus basics 2024-09-04 | How do we find the maximum of a function when we are given a constrain equation. Here we have x+2y=4 and how do we find the maximum of sqrt(x)+sqrt(y)?To see how to do this without using calculus, check out this video: youtu.be/YSJzpQQSOZw?si=t6JXkeLqVQo8BV00 (Cauchy Inequality)Ask me calculus on Threads: threads.net/@blackpenredpen-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Calculus 1, how do you evaluate these limits (not 0/0 form) Reddit r/homeworkhelp bprp calculus basics 2024-09-04 | This Calculus 1 tutorial will help you learn how to evaluate the limit of a rational function for your. These limits are not in the typical 0/0 form. They are in the nonzero/0 form! So how can we determine the limit? This question is from Reddit r/homeworkhelp. reddit.com/r/HomeworkHelp/s/z0IkDvZqJ5Ask me calculus on Threads: threads.net/@blackpenredpen-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
the calc 3 shortcut for implicit differentiation bprp calculus basics 2024-09-03 | We will compare the implicit differentiation method from Calculus 1 and the "shortcut" from Calculus 3. We will find dy/dx of x^3+xy^2=sin(y). Subscribe to @bprpcalculusbasics for more calculus tutorials. Ask me calculus on Threads: threads.net/@blackpenredpen-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
No one proves this kinda limit with the epsilon-delta definition! Reddit r/askmath bprp calculus basics 2024-09-03 | We will prove the limit of (sqrt(x)-2)/(x-4) as x approaching 4 is equal to 1/4 by using the epsilon-delta definition of a limit. This question is from Reddit r/askmath reddit.com/r/askmath/s/75pU3c78xEHere's my ultimate calculus study guide for the epsilon-delta proofs: youtu.be/AfrnYS5S8VE?si=-UPA3hDoCJw-3OWIAsk me calculus on Threads: threads.net/@blackpenredpen-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Given limits, sketch a possible graph (ft. the 3 discontinuities you need to know!) bprp calculus basics 2024-09-02 | When we are given limits, can we sketch a possible graph? This is a typical Calculus 1 problem that really examines your understanding of the concepts of a limit. Plus, we will go over the 3 discontinuities (jump, removable, and vertical asymptote) you need to know. Ask me calculus on Threads: threads.net/@blackpenredpen-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Im struggling w/ this partial fraction. I have an exam tomorrow, Ive lost hope. Reddit r/calculus bprp calculus basics 2024-09-02 | How to integrate (x^2+5x+1)/(x^2+1)^2 by using partial fraction decomposition? This is a must-learn technique for your Calculus 2 class. Subscribe to @bprpcalculusbasics for more calculus tutorials. Source Reddit r/calculus reddit.com/r/calculus/s/KL7OfUBZIPAsk me calculus on Threads: threads.net/@blackpenredpen-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Have you ever solved an equation like this? x is inside & outside of an integral! Reddit r/calculus bprp calculus basics 2024-09-01 | We have the integral of f(t) from 0 to 2x = x^2 +4x and how do we solve for x? The key here is to use the Fundamental Theorem of Calculus (part 1) to differentiate both sides by x. This question is from Reddit r/calculusreddit.com/r/calculus/s/Q83lOuqk7ZAsk me calculus on Threads: threads.net/@blackpenredpen-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
I am really doing my best hereβ¦ where did I go wrong? Reddit r/calculus bprp calculus basics 2024-09-01 | How to do the integral of 3cos^2(x)sin(2x) with trig identity?reddit.com/r/calculus/s/HTJiAfbPRXAsk me calculus on Threads: threads.net/@blackpenredpen-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial
How to sketch a graph with the given limits! Calculus 1 tutorial Reddit r/homeworkhelp bprp calculus basics 2024-08-31 | Do you really understand what the limits of a function and its graph are related? Hereβs a typical calculus 1 problem where we have to sketch a possible graph of a function based on the limits. Subscribe to @bprpcalculusbasics for more calculus tutorials!This video is from Reddit: reddit.com/r/HomeworkHelp/s/zmr2wf6kBWAsk me calculus on Threads: threads.net/@blackpenredpen-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial
Isnt infinity-infinity=0? No, its an indeterminate form so be careful! Calculus 1 concept bprp calculus basics 2024-08-31 | Calculus 1 tutorial on the limit of x-sqrt(x) as x goes to infinity! Here we have an indeterminate form of infinity minus infinity but the limit is not equal to 0. Ask me calculus homework questions on Threads: threads.net/@blackpenredpenAsk me calculus on Threads: threads.net/@blackpenredpen-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial
Can this be solved using integration by parts? Iβm stuck! Calculus 2 Reddit bprp calculus basics 2024-08-30 | Calculus tutorial for the integral of x^3/sqrt(1-x^2) by using integration by parts. This question is from Reddit r/calculus reddit.com/r/calculus/s/8sxZfW8q9r#math #calculus
Integration using substitution, integral of sin(x)/cos(x), Reddit r/askmath bprp calculus basics 2024-08-29 | Calculus help on the integral of sin(x)/cos(x). Ask me calculus questions on Threads: threads.net/@blackpenredpenOriginal post reddit.com/r/askmath/s/ciIHBvuj9Y
Converting a triple integral among rectangular, cylindrical and spherical coordinates bprp calculus basics 2024-08-29 | Converting a triple integral among rectangular, cylindrical, and spherical coordinatesSolving the spherical integral: youtu.be/9OMwmf9_kj4-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Why is dxdydz=Ο^2sinΟdΟdΞΈdΟ? (using Jacobian) bprp calculus basics 2024-08-26 | We will use the Jacobian to see why dxdydz=Ο^2sinΟdΟdΞΈdΟ. We must know this when we convert a triple integral from the rectangular coordinate to the spherical coordinate. The geometry way: youtu.be/uL_yq733CTY-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Why is dxdy=rdrdΞΈ? (geometry vs Jacobian) bprp calculus basics 2024-08-25 | In this Calculus 3 tutorial, you will learn how to convert the dV differential from the Cartesian coordinate (i.e. rectangular coordinate) to the polar coordinate. That is, we will see why dxdy=rdrdΞΈ. -----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial
Volume of a sphere with a triple integral bprp calculus basics 2024-08-24 | We will use a triple integral with spherical coordinates to show that the volume of a sphere with radius a is 4*pi*r^3. This is a very cool problem that you need to see for your Calculus 3 class.Here's how to use the disk method to find the volume of a sphere: youtu.be/VBR7boMYaN4-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Finding the tangential component and the normal component of acceleration bprp calculus basics 2024-08-23 | This Calculus 3 tutorial covers an example of finding the tangential and normal components of acceleration. For the formulas used in this video, check out: youtu.be/LB4SVSWvLXkTo see how to find the unit tangent vector and the unit normal vector, check out youtu.be/FAej0NeT7wM-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
How to show the limit of a multi-variable function doesnt exist bprp calculus basics 2024-08-15 | Here is a calculus 3 tutorial with 8 examples showing the limit of a multi-variable function does not exist.File: patreon.com/posts/110137781Thanks to @aaryavbhardwaj6967 for the timestamps!00:00 Intro00:36 (x^2+y) /(x-2y) as (x,y) goes to (0, 0)04:05 |x|^|y| as (x,y) goes to (0, 0)07:33 (e^x - cosy)/(x-y) as (x,y) goes to (0, 0)12:10 (x^2 y)/(x^4+y^2) as (x,y) goes to (0, 0)18:24 xy/(x+y) as (x,y) goes to (0, 0)23:51 (βx+βy-2)/(x+y-2) as (x,y) goes to (1, 1)31:12 (xsinx)/siny as (x,y) goes to (0, 0)34:49 (x y^2 z^2)/(x^3+y^6+z^6) as (x,y,z) goes to (0, 0,0)40:07 Outro-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Find the mistake first, then do this correctly! bprp calculus basics 2024-08-10 | Here's a common mistake when students use the squeeze theorem to evaluate the limit of a multi-variable function. 0:00 Find the mistake!5:10 the correct wayCheck out the 6 ways of evaluating the limit of a multi-variable function: youtu.be/FJ-ofPVY5P8?si=sn5NrvmLhM-VyVNO-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Be careful when we use the polar method! bprp calculus basics 2024-08-06 | This is a continuation of "6 methods of evaluating the limit of a multi-variable function": youtu.be/FJ-ofPVY5P8----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Finding the unit tangent vector and the unit normal vector bprp calculus basics 2024-07-29 | This Calculus 3 tutorial provides an example of finding the unit tangent vector and the unit normal vector. To find the tangential part and the normal part of the acceleration, please see: youtu.be/HjwDXQ3K8-I-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
Vector projection of u onto v (introduction & example) bprp calculus basics 2024-07-28 | This calculus 3 tutorial introduces the concept of the vector projection of u onto v. And we will also see an example of how this works!0:00 Vector projection of u onto v8:45 an example-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
The dot product of two vectors and the angle between them bprp calculus basics 2024-07-27 | We will use the Law of Cosine to show the connection between the dot product of two vectors and the angle between them. This tutorial will help you with your precalculus or calculus 3 classes. -----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
6 methods of evaluating the limit of a multivariable function (calculus 3) bprp calculus basics 2024-07-21 | 6 ways of evaluating the limit of a multivariable function that you need to know for your calculus 3 class! Subscribe to @bprpcalculusbasics for more calculus tutorials!File: patreon.com/posts/1101377810:00 1. Just plug in0:58 2. Do algebra (just like calculus 1)3:47 3. Substitution 5:23 4. Separable (i.e. the limit of a product is the product of the limits when they both exist) 10:25 5. Polar (when (x,y) approaches (0,0))15:46 6. Squeeze theorem-----------------------------Support this channel and get my calculus notes on Patreon: π patreon.com/blackpenredpenGet the coolest math shirts from my Amazon store π amzn.to/3qBeuw6-----------------------------#calculus #bprpcalculus #apcalculus #tutorial #math
