- Видео 382
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Glass of Numbers
США
Добавлен 25 фев 2017
Hello everyone! My name is Wilson🎙️. I make videos (and animations) to help people learn math more easily 💯! I want to use my free time to make a lot of math videos to help others and to make education available to the world. Your Likes and Subscribing will help this channel be reached by more people. Please 📢 share my videos to others! Thank you! 🙏🏼
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The first video was published on 01/30/2020.
500 subscribers on 12/22/2020
1000 subscribers on 05/11/2021
2000 subscribers on 01/15/2022
3000 subscribers on 07/15/2022
4000 subscribers on 11/30/2022
5000 subscribers on 03/30/2023
6000 subscribers on 08/18/2023
7000 subscribers on 12/15/2023
8000 subscribers on 04/03/2023
Thank you!
Follow me:
www.glassofnumbers.com
glassofnumbers
Leave me a comment as well!
The first video was published on 01/30/2020.
500 subscribers on 12/22/2020
1000 subscribers on 05/11/2021
2000 subscribers on 01/15/2022
3000 subscribers on 07/15/2022
4000 subscribers on 11/30/2022
5000 subscribers on 03/30/2023
6000 subscribers on 08/18/2023
7000 subscribers on 12/15/2023
8000 subscribers on 04/03/2023
Thank you!
Follow me:
www.glassofnumbers.com
glassofnumbers
Triple Integrals in Cylindrical Coordinates
Discover how to set up and evaluate a triple integral over a solid region bounded by the paraboloid y=4x^2+4z^2 and y=4 in this comprehensive Calculus 3 tutorial. I will walk you through the step-by-step process of defining the limits of integration, converting to cylindrical coordinates, and solving the integral. Perfect for students tackling advanced calculus topics, this video simplifies complex concepts with clear explanations and examples. Master the art of triple integrals and enhance your mathematical skills today.
📺 Subscribe to my channel for Math Learning!
ruclips.net/user/glassofnumbers
Please help me by subscribing to my RUclips channel. I want to use my free time to make a lot o...
📺 Subscribe to my channel for Math Learning!
ruclips.net/user/glassofnumbers
Please help me by subscribing to my RUclips channel. I want to use my free time to make a lot o...
Просмотров: 689
Видео
How to set up Triple Integrals over a tetrahedron
Просмотров 2634 месяца назад
In this comprehensive tutorial, you'll learn how to set up and solve a triple integral of xyz over a solid tetrahedron. 📺 Subscribe to my channel for Math Learning! ruclips.net/user/glassofnumbers Please help me by subscribing to my RUclips channel. I want to use my free time to make a lot of math videos to help others and to make education available to the world. Your sharing and subscribing w...
How to Solve Quadratic Equations by Completing the Square x^2-4x+3=0
Просмотров 1,9 тыс.Год назад
We show how to solve quadratic equations by completing the square in this video. The equation that we use to demonstrate the process is x^2-4x 3=0. Even though it is easier to solve this quadratic equation by factoring or using the quadratic formula, it is still important to learn how to use the process of completing square through solving a quadratic equation. 📺 Subscribe to my channel for Mat...
Partial Derivatives of Functions with Two and Three Variables
Просмотров 426Год назад
This video shows how to find first partial derivatives of functions with two and three variables. We talk about examples of differentiating functions using different differentiation rules such as product rule and power rule. 📺 Subscribe to my channel for Math Learning! ruclips.net/user/glassofnumbers Please help me by subscribing to my RUclips channel. I want to use my free time to make a lot o...
How to Find Parametric Equations for a Tangent Line to a Curve in the Space
Просмотров 581Год назад
This video shows you how to find parametric equations for a tangent line to a curve in the space at a given point. This is a useful skill in calculus and other areas of mathematics, and it can be used to solve a variety of problems. We will first talk about how to find the derivative of a parametric function, and use it together with the given point to find a vector equation for the tangent lin...
How to Solve Absolute Value Equation with Two Absolute Values |2x+1|=|x-3|
Просмотров 984Год назад
We are showing how to solve absolute value equations with two absolute values. The equation is |2x 1|=|x-3|. The idea is to break it into four cases to solve the equation. 📺 Subscribe to my channel for Math Learning! ruclips.net/user/glassofnumbers Please help me by subscribing to my RUclips channel. I want to use my free time to make a lot of math videos to help others and to make education av...
How To Solve Absolute Value Equations
Просмотров 217Год назад
We talk about how to solve absolute value equations in this video. We have five examples in this video for absolute value equations. Each equation involves only one absolute value. 0:00 |2x-1|=3 2:36 |-2x|=8 3:40 |x 4|=0 4:53 |x 3| 4=2 8:02 5-|3x 2|=4 📺 Subscribe to my channel for Math Learning! ruclips.net/user/glassofnumbers Please help me by subscribing to my RUclips channel. I want to use m...
Vector Equation of Curve of Intersection of Two Spheres
Просмотров 1,2 тыс.Год назад
In this video, we talk about how to find the vector equation of curve of intersection of two spheres, x^2 y^2 z^2=4 and (x-1)^2 y^2 z^2=4. The two spheres intersect in a circle, parallel to yz-plane. We start by setting the two equations equal to each other to find the parametrization. 📺 Subscribe to my channel for Math Learning! ruclips.net/user/glassofnumbers Please help me by subscribing to ...
Finding T, N, and B Vectors for a Helix | Helical Curve Computation Explained
Просмотров 417Год назад
Welcome to our video on computing the T, N, and B vectors for a helix! In this tutorial, we will explore how to calculate the unit tangent, principal unit normal, and unit binormal vectors step by step. Helical curves, often resembling spirals, are not just a mathematical curiosity. They're everywhere around us, from the coils of a spring to the double helix of DNA. 0:33 - Calculating the Unit ...
How to Solve a Radical Equation with Two Square Roots
Просмотров 364Год назад
In this video, we talk about how to solve a radical equation with two square roots. The idea is to isolate one of the square roots first and square both sides of the equation. After the first square root has disappeared, we will isolate the other square root and square both sides of the equation. 📺 Subscribe to my channel for Math Learning! ruclips.net/user/glassofnumbers Please help me by subs...
Solving Radical Equations with One or Two Radicals
Просмотров 232Год назад
In this video we talk about solving radical equations with one or two radicals. The general idea is to first isolate the radical, or one of the radicals, then raise both sides of the equation to the power of the radicals. 0:00 - sqrt(2x-3)=5 2:34 - x-2=sqrt(x) 9:25 - sqrt(4x-3) 3=2 vs cbrt(4x-3) 3=2 14:28 - sqrt(x) sqrt(3x 4)=6 The last example has two radicals (two square roots). The idea is t...
20 Minutes to Learn Solving Exponential Equations
Просмотров 125Год назад
In this video we talk about solving exponential equations through five examples. 0:00 9^x = 27 1:46 4^(2x-3)=8^x 4:06 5^x/125^(3x 1)=25 8:49 3^x = 8 13:56 4^(x 3)=5^(2x) The five examples show how to manipulate the equations so that both sides have the same base. The last two examples show how to solve an exponential equation and how to do it using logarithms and natural logarithms. 📺 Subscribe...
Integral of Sqrt(e^2x + 1) dx - This one is fun!
Просмотров 1,4 тыс.Год назад
We do the integral of sqrt(e^2x 1) dx with all steps shown. This is a fun integral! We do u-subs twice, followed by partial fraction decomposition! 📺 Subscribe to my channel for Math Learning! ruclips.net/user/glassofnumbers Please help me by subscribing to my RUclips channel. I want to use my free time to make a lot of math videos to help others and to make education available to the world. Yo...
How To Find an Equation of a Plane Given a Point and Perpendicular Normal Vector
Просмотров 434Год назад
This video explains how to find an equation of a plane given a point and perpendicular normal vector. Generally, when we want to find an equation of a plane, we need two things: 1) Point 2) Normal Vector And we have both in the given information. So, we can find a plane easily. 📺 Subscribe to my channel for Math Learning! ruclips.net/user/glassofnumbers Please help me by subscribing to my RUcli...
Finding the Length of a Curve in Three-Dimensional Space (e^t, sqrt(2)t, e^(-t))
Просмотров 707Год назад
In this video we talk about finding the length of a curve in three-dimensional space. The curve is r(t) = (e^t, sqrt(2)t, e^(-t)), where t is from 0 to 2. When it comes to finding arc length, there is a square root in the integral. We talk about specifically how to deal with the integrand with the square root by recognizing the expression inside the square root is a perfect square. 📺 Subscribe ...
Graphing y=3-sqrt(x+4) using three transformations
Просмотров 274Год назад
Graphing y=3-sqrt(x 4) using three transformations
How to Graph a Radical Function with Vertical Stretch and Shift y=3sqrt(x)-2
Просмотров 387Год назад
How to Graph a Radical Function with Vertical Stretch and Shift y=3sqrt(x)-2
How to Graph Square Root Function with Stretch and Compression
Просмотров 896Год назад
How to Graph Square Root Function with Stretch and Compression
Graphing Square Root Sqrt(-x-3) by Horizontal Reflection and Horizontal Shift
Просмотров 787Год назад
Graphing Square Root Sqrt(-x-3) by Horizontal Reflection and Horizontal Shift
Graphing y=-sqrt(x)+2 using transformations
Просмотров 826Год назад
Graphing y=-sqrt(x) 2 using transformations
How to Graph Square Root Functions with Reflections
Просмотров 828Год назад
How to Graph Square Root Functions with Reflections
How do you write 2x-3y=6 in slope-intercept form?
Просмотров 2,2 тыс.Год назад
How do you write 2x-3y=6 in slope-intercept form?
How to Find Intercepts of Linear Equation 5y+2=3x
Просмотров 261Год назад
How to Find Intercepts of Linear Equation 5y 2=3x
How to Find x-intercept and y-intercept of Linear Equations in Standard Form
Просмотров 830Год назад
How to Find x-intercept and y-intercept of Linear Equations in Standard Form
How to Find y intercept and x intercept of a Linear Equation
Просмотров 4,7 тыс.Год назад
How to Find y intercept and x intercept of a Linear Equation
How to Find the Inverse of a 3x3 Matrix
Просмотров 559Год назад
How to Find the Inverse of a 3x3 Matrix
Finding the Area of the Region Inside the Circle r=3cos(theta) & Outside the Cardioid r=1+cos(theta)
Просмотров 7 тыс.Год назад
Finding the Area of the Region Inside the Circle r=3cos(theta) & Outside the Cardioid r=1 cos(theta)
What happens when we try to find the inverse of a singular matrix?
Просмотров 453Год назад
What happens when we try to find the inverse of a singular matrix?
How to Find the Inverse of a 2 by 2 Invertible Matrix
Просмотров 243Год назад
How to Find the Inverse of a 2 by 2 Invertible Matrix
Flawless Presentation, Sir!
Flawless Presentation, Sir!
I didn't get it how come 3 is here? I mean how did you find the 3?
you saved my life
Glad my video helps!! Please help others by sharing the video with others 😁
Bro taught me math in my second language
Are you taking Trigonometry now?
@@GlassofNumbers Yeah
You are saving my bacon right before a Calc 3 mid term. I had a vague idea what to do but I always forget the final step. Thank You!!
Good to hear that!
finding gold but got platinium. Thanks edit: want to ask, does x limit need to be one number for any question?
What do you mean by one number?
@@GlassofNumbers I mean x only numbers, no y and z variable.
I think you can give a theory before the question, like explaining better what you doing, you just laying it down like my professor will, better explanation needed.
Good point, however, this is a short video not intending to replace a lecture. Explaining the theory requires a separate video. The intention for this video is to talk about how to set up the triple integral.
thank you so much your amazing
Thank you! Please help others by sharing this video with others!
my proffessor sucks in my calc 2 class i can barely understand bro
I hope you are getting better at this!
ilysm
ilysm
Your so smart thank you
how would you do this but for a general plane instead of the xz-plane
Couple years later from you posting this it really helped me to understand why I need 2 integrals
Thank you! Please help me by sharing the video with others 👍😁
Thanks, bro. This video has really helped me. I'm struggling with my maths course, but your explanation has renewed my hopes that I may pursue it after all. I was toying with the thought of dropping the course, but not anymore. I'll fight through it, and I'll come out on top. Thanks a ton.
Good to hear that! Wish you the best in your math courses!!
Thanks a lot. I was struggling a lot to solve the last art
Good to hear that! Please help others as well by sharing the video 😁👍
Thank you!! There are exercises in my discrete math book like this and the book didn't talk about repeating decimals at all
Good to know! I think I should do more discrete math topics 👍
How would you do it if it were subtraction of absolutes instead of addition
Thak you for the informative explanation
Thank you! Please help others by sharing this video with them 😁👍
Thank you sir. You make it kinda easier to grab the point and understand. Actually it is in my 12 class Sallybus and am trying to lesson to your video and understand. And i would be very happy if i could directly tell you my problems of Mathematics. Kindly do me a favor in this case.❤
Thank you so much! I would like to help, but at the moment, I won't be able to answer individual questions. Wish you well in your math journey!
I don't understand first step why the u vector is equal to v vector / magnitude ?? Can u pls explain in brief here in comment section
Because we first want to make it a unit vector before multiplying by 6 to turn its length to 6.
Thank you this was very helpful. 😁
Thank you! Please help others by sharing the video 😁👍
Thanks you sir for the great explanation ❤❤❤
Thank you! Please help others by sharing the video 😁👍
90% Indian audience😉
Yes! Amazing audience support!
I'm still working on knowing or rather, recognizing when you 'need' to change the order. As well, still working on when to use U sub, esp, in Polar Integrals. I guess I need to do a lot more , plenty of examples to get used to 'seeing' and 'recognizing' the problems.
I agree with you. There are certain integrands that we won't be able to integrate easily. That's when we want to change the order. With more practice, I am sure you will recognize that kind of situation and what methods to use💪
Perfect thank you so much😊
Thank you!! Please help me share this video with others 😁
Hello, can you explain why we need to derivate V at 18:00?
It's because we want to find the critical number
Thanks sir
Thank you for the wonderful video. Please, what program do you use for writing and also the program you use for screen recording?
I use Noteshelf app and just the screen recording feature on Android
"Thank you glass of numbers" 5.2k ppl say in unison
Thank you so much! Please tell me what other videos I should make 😁
Integration by parts is faster and easier in this example
extremely helpful and well explained! Appreciate it and keep it up!
Thank you! Glad this video helps you! Please help others by sharing it 😁
Life saver🙏 💜
Thank you for the comment! Please help me share the video with others 😁
Please clear your sound
😅
THANK YOU 😩😩😩😩
Thank you! Glad this video helps 😁
Very good video, well explained. However, you mentioned, 'I will be making another video to solve this same problem without using the formula!' but I can't find it.
You are right! I haven't gotten a chance to do that!
Sir thank you very much🙏🙏❤️
Thank you for the comment!!
do you use graphic tablet?
Yes
what type of graphic tablet do you use?
Samsung tablet
love from the netherlands <3
Thank you! Please help others by sharing the video with others 😁
when doing the different cases, why does it have to be an equation (=)? is it not possible to retain the signs and solve it like a regular inequality?
expanding the (2(n+1))! into those three factors was extremely confusing for me.
(2(n+1))! = (2n+2)! = (2n+2)(2n+1)(2n)!
@@GlassofNumbers Thank you!
If anyone is planning to use this without a square root in the function, just remember that the domain of the integrand and the answer need to be identical, in this video it is but in many cases it's not Since you introduce a square root in the final answer the domain ends up being the x values that make that sqrt argument positive or 0, which might not be the same as the domain of the integrand.
What's the domain of 1/(2sqrt(x)) ?
@@GlassofNumbers x>0
What's the domain of its antiderivative?
@@GlassofNumbersI see your point but the domain of 1/(2sqrt(x)) is smaller than it's antiderivative (i.e it doesn't include 0), what I'm talking about is only when the *antiderivative* ends up with a reduced domain, usually by including a square root, so I guess I should have said was to make sure the antiderivative ends up with an identical or greater domain instead of saying an identical domain. If you want a specific example try integrating 1/(4 - (x^2)) by setting x = 2sinx.
Isn't that in the same situation as my example?
thank you! im trying to prepare myself for calc3 for the upcoming fall, this helped. keep it up!
Great! Tell me how it goes when you take Calc3! I am working on this, but family responsibilities make everything slow for me.
thank you! great explanation
Thank you for the comment! Please help others by sharing this video 😁
this is what I've been looking for😭
That's good to know!
Thanks
Please help others by sharing the video with others!
What a strange way to write tan(x/2)+c
Haha
Enjoyed. Go on.
Yes! Thank you! Please share this video with others 😁
If I use de l' Hospital I get the same result. But solving it this way is far more interesting and exciting.
I agree!