Glad you like them! I explain the process here: integralcalc . com/how-I-create-my-videos/
@colinposka32274 жыл бұрын
You really have a video for every topic I have in my calc class. You're saving my grade. Thanks!
@kristakingmath4 жыл бұрын
You're welcome, Colin, I'm so glad the videos are helping!!
@MarkovPetar10 жыл бұрын
All of our exes have been eliminated! What a day brightener... :D
@kristakingmath10 жыл бұрын
LOL GREAT point! I need to use that more often!! :D
@吳擎-q5u11 жыл бұрын
Thanks a lot!! I'm a college student from Taiwan, your teaching is so nice that I wish my teacher is you. I think I will pass the final exam with your videos easily :D thank you very much! again...
@Zayneakajordan8 жыл бұрын
This is a very Helpful Video, I was mostly stuck on the setting up the problem and this helped a lot. Thank you.
@kristakingmath8 жыл бұрын
Awesome! I'm glad it could help. Thanks for letting me know.
@kristakingmath11 жыл бұрын
Hey Giovanni! I'm so glad you like my videos! This is a web page I made where I explain everything I use to make my videos: integralcalc . com/how-I-create-my-videos/
@tomctutor7 жыл бұрын
Like your Gui (blackboard) and your presentation very clear. Thankyou for illuminating a difficult double-integral= volume problem.
@allymwashambwa38508 жыл бұрын
I love the way you elaborate and calculate the question, thanks a lot
@kristakingmath8 жыл бұрын
+Ally Mwashambwa You're welcome!
@miladalbert11 жыл бұрын
Hey , Tomorrow I have Differential Equation and vectors final exam and you saved me and my friends' life. You teach better than our University's prof !!!!
@kristakingmath11 жыл бұрын
I hope it went well! :)
@miladalbert11 жыл бұрын
It did, You should have been our prof .... Tnx .
@mhdwhd344211 жыл бұрын
thanks that is really helpful. also I really appreciate what you do because you helped me in finding the volume by using washer method and cylindrical shell
@kristakingmath11 жыл бұрын
Thanks for the comment! I'm so glad you're liking the videos! :D
@kristakingmath11 жыл бұрын
You're welcome! I'm so glad the videos are helping! Good luck on your final exam!! :D
@Stanley-Elo Жыл бұрын
Is there a video on how you got the hypotenuse used for integration?
@syalina47348 жыл бұрын
what a great explaination ! I really love the way you explained and you did help me a lot !
@kristakingmath8 жыл бұрын
I'm so glad it helped!
@kristakingmath11 жыл бұрын
that equation got solved for x as x=7-3y, and became the upper limit of integration when we integrate with respect to x. so we did use it! :D
@dhruvanshuparmar89696 жыл бұрын
my head got fucked with this problem,and now i feel i know everything,thanks so much krista
@debasishsingh14502 жыл бұрын
Great explained
@Tocket035 жыл бұрын
I'm confused. The standard slope equation is y=mx+b, where m is slope and b is y-intercept. But I'm not seeing a y-axis intercept. Can someone explain this part?
@Abhiabhiabhi97abhi8 жыл бұрын
A really helpful video, Krista! Thanks a lot... :-)
@prajyot4497 жыл бұрын
great job need more lectures
@uiticus8 жыл бұрын
Great explanation. But I wish you shaded in the volume we are trying to find here. I am having trouble picturing it. I do not understand what it means stating it lies below z=xy and above the triangle bounded by the vertices.Would that be the volume or space surrounding the triangle? Also, shouldn't the upper limit of integration for the Y integral be -1/3+7/3, since integrating the vertical slices of the triangle varies in height just like it did when integrating along the x axis?
@mhdwhd344211 жыл бұрын
yesterday I had a calculus ll exam which was very difficult :( and even if someone studied very hard he couldn't solve it>>>>
@Caroline-bt6qh7 жыл бұрын
thank you very much ... you saved my semester!
@kristakingmath7 жыл бұрын
So glad it could help! :)
@amararyan41287 жыл бұрын
thank u very much ma'am for this video. Plz also post some videos on tripple(volume) integrals.
@kristakingmath7 жыл бұрын
I might just be making one next week on that! Stay tuned. :)
@kristakingmath11 жыл бұрын
You're welcome! :)
@noyes71969 жыл бұрын
You are the best !!
@giovannicapodanno477911 жыл бұрын
Your videos are so cool! Thanks a lot for sharing all this lesson for free. May I know which software are you using to create those videos? Thanks before hand Giovanni
@thearchitect278 жыл бұрын
Great job!
@kristakingmath8 жыл бұрын
+thearchitect27 Thank you!
@mosaletswalo77646 жыл бұрын
The quality of the audio..... 100 % !!
@gene5467 жыл бұрын
3:00 ins't possible to use the distance formula to get the sides of the triangle or the hypotenuse? I mean, excuse my questions. Great videos.
@anarelle7 жыл бұрын
great video! I'm a bit confused though: I've seen problems where the solid is projected on xy, xz, yz to calculate volume. Why didn't you need to project here and when do we DO need to project? An example I have is the volume of the solid constrained by x+y+z=2 and the coordinate planes. My teacher started projecting on plane xy to get line x+y=2 and went on from there...
@michaelbardakji98247 жыл бұрын
How did we specifically specify that the volume we're calculating is below the the plane z=x*y. What if the question was finding the volume of the solid on top of z=x*y? thank you
@kristakingmath11 жыл бұрын
awesome!! i'm so glad the videos are helping!! :D
@GenericMedusa9910 жыл бұрын
maybe you can draw z=xy plane, to show what does the triangle look like in the (x,y,z) axis. i thought for volume its a triple integral i.e. trip int(f x,y,z) dzda
@Ditiro10011 жыл бұрын
What software or device are you using to make this videos.. They are very lovely?
@allymwashambwa38508 жыл бұрын
you are good, congratulations for you
@kristakingmath8 жыл бұрын
+Ally Mwashambwa Thank you very much!
@edwarddi38334 жыл бұрын
Thanks for your video! but the idea to define the upper and lower limit is not clear. why don't you just use the x=(1,4) and y=(1,2) as the boundary?
@edwarddi38334 жыл бұрын
I think I have got it. ε>
@blackabe1112 жыл бұрын
That also confuses me haha
@segoviapatricio10 жыл бұрын
if we get a negative volume,, what does it really mean or represent?? great video
@kristakingmath10 жыл бұрын
it means that there's more volume below the xy-plane than above it.
@danmcglaun18 жыл бұрын
What is this great tool you've used to make the video!?
@kristakingmath8 жыл бұрын
+Dan McGlaun You're probably talking about Sketchbook, or Screenflow, but here's more detail: kristakingmath (dot) com / my-videos
@muhammedsaad31717 жыл бұрын
can you please explain how did we get these two equations of x and y ? thank you.
@263kk7 жыл бұрын
Equation for line y = mx + c ... Now I guess you know how to find the values of M and C in that eq. Thank you (Refer 0:50 min of Video)
@GH123XL11 жыл бұрын
Do u have a video on triple integral? Also, I wonder why my calculus books are filled with so many trigs. What significance does it have on the calculus itself? Sorry but I really get confused. I am a self learner so feel free to say stupid on me.
@Vk-gv3sc7 жыл бұрын
awsome videos u make...could u explain why we can't take limits of x from 1 to 4 rather than 1 to 7-3y...i mean the max value of x is 4..right?
@Dalie30117 жыл бұрын
because if you do it from 1 to 4, it would essentially be a rectangle. taking the limits from 1 to the line 7-3y means it's for the triangle that the vertices form
@kristakingmath11 жыл бұрын
Awesome, thanks! :)
@360xi11 жыл бұрын
A question. How come for x values: there is 1 and 7-3y. I would have thought the most right value is 4. Please help me.
@kristakingmath11 жыл бұрын
yes it does. :)
@faroukbouiche73607 жыл бұрын
Hello thank you very much for this wonderful lessons it but I do not understand how the conclusion of the function limits of integration Palin Is it possible to help me
@jorgeclaeyssen10 жыл бұрын
Wouldn't the outer fraction be 1/4? You took two halves yet forgot about the last one. Else, please let me know what I missed.
@kristakingmath10 жыл бұрын
It would be 1/2 because you're factoring it out of the function. In the same way, if you had 3x-3y and you wanted to factor it, you would get 3(x-y) when you factor out the 3, not 9(x-y). I hope that helps!
@kanivakil1984 жыл бұрын
OMG, this is the exact problem from my homework: James Stewart Calculus 8th Edition.
@kristakingmath4 жыл бұрын
I love it when that happens! :)
@wavoofahd75765 жыл бұрын
Why is it that the upper limit for integration of dy is 2 not the equation of that line y=1/3...... as it is changing
@shoes12125511 жыл бұрын
For the limits of integration with respect to the x term why is it from 1 to 7-3y instead of from 1 to 4?
@Xylyxzs10 жыл бұрын
thought i was the only one with this hell of a doubt
@mohem606 жыл бұрын
shoes121255 did u figure out why??
@Osama_Amer6 жыл бұрын
you can use 1 to 4 only if you used 1 to -1/3x+7/3
@naifothman8728 жыл бұрын
thanks for the video , i just dont understnd where did you get x=7-3y from ? thank u
@kristakingmath8 жыл бұрын
y=-(1/3)x+7/3 is the equation of the blue line that marks the top of the triangle. So I just solved that equation for x, like this: 3y=-x+7 and then 0=-x+7-3y and then x=+7-3y.
@bhardiman358 жыл бұрын
What happens when they don't give that hyp to you? I'm working on the same problem and I just don't get how you can use the vertices to find that equation of the line. I'm sure it's something simple but it's escaping me now.
@kristakingmath8 жыл бұрын
You use the point-slope formula for the equation of a line, y-(y_1)=m(x-(x_1)). You find the slope as (1-2)/(4-1)=-1/3. The slope goes in for m. And one of the points goes in for (x_1,y_1). So for example y-(y_1)=m(x-(x_1)) becomes y-2=(-1/3)(x-1), so y-2=(-1/3)(x)+1/3, so y=(-1/3)(x)+1/3+2, so y=(-1/3)(x)+7/3.
@badriaibrahim99189 жыл бұрын
Thankyou so much ❤️
@kristakingmath9 жыл бұрын
+Badria Ibrahim You're welcome!
@mohamedharedi843711 жыл бұрын
thanks a lot
@EpicMicky3009 жыл бұрын
how did you get the equation for your lines?
@CaptainFluffen7 жыл бұрын
The upper point of a line is (x1,y1) the lower point is (x0,y0). Calculate the slope m=(y1-y0 / x1-x0) then plug it into y-y1=m*(x-x1) and isolate the y on the left side and the rest on the right.
@zandiviljoen1463 жыл бұрын
YAAY was looking for this specific sum coz I kept getting the same wrong answer, turns out i forgot to write the second limit as the equation of the line and just wrote it as the max y or x value lol oops.. thank you ma'am!!:)
@kristakingmath2 жыл бұрын
You're welcome, Zandi, I'm so glad it helped! :D
@randycarr58697 жыл бұрын
The Algebra part of finding the upper and lower limits is understandable.... but why is the x upper limit not 4 as opposed to using 7-3y......the lowers being 1 makes sense, and the upper for the y value being 2 makes sense.....so why isnt the upper for x equal to 4???
@kristakingmath7 жыл бұрын
Because depending on which y-value you pick, the upper limit for x will change. If you pick y=1, then the upper value for x is 4, but if you pick y=2, then the upper value for x is 1. So because that value is changing along the slanted line given by x=7-3y, you have to use 7-3y as the upper limit. :)
@randycarr58697 жыл бұрын
why doesnt the same equation serve as the upper limit for y as well.....does it not bound the vertical boxes when respecting y, as does it bound the horizontal boxes when dealing in respect to x????
@Electric3014 жыл бұрын
Is this triangle on the xy plane? How do you know
@hahakun9611 жыл бұрын
can you please please please show how to find the upper limit when the lower limit and area are given? I am stuck at it! >n
@modibacm27836 жыл бұрын
How did you come up with those two equations for x and y
@frederickben-smith9907 жыл бұрын
find the volume lying the sphere x^2+y^2+z^2=4z and inside the paraboloid z=x^2+y^2 pls can you solve for me
@dhirajojha28537 жыл бұрын
hi can i please know where/how did you get the values for y=(-1/3)x=(7/3) and value of x too...thnx
@bobolecoq25997 жыл бұрын
you just need to use the formula of the equation of a line passing by 2 points, in this case the two points being (1,2) and (4,1). and the formula is y-y1 = [(y2-y1)/(x2-x1)](x-x1)
@dhirajojha28537 жыл бұрын
Thnxs +Sam dhena
@GH123XL11 жыл бұрын
sorry but does xy there mean x times y?
@makwaruzomohamed20678 жыл бұрын
i do appreciate.. ..thank you
@kristakingmath8 жыл бұрын
You're welcome!
@jamesmoriaty109811 жыл бұрын
Love u krista
@0011mim10 жыл бұрын
I dont understand how do we find the hypotenuse :(
@HG-lr7lv10 жыл бұрын
We are given the points (4,1) and (1,2). To find the slope: (2-1) / (1-4) Here we obtain y = (-1/3)x Now, to find the 7/3 that she has for her hypotenuse equation, we take the highest 'y' value, which is 2, from the given point (1,2), we add (1/3) (the slope) to 2 because we want to obtain the y-intercept. We finally obtain y = (-1/3)x + 2 + (1/3), which equals y = (-1/3)x + (7/3)
@ningxinyang67137 жыл бұрын
why is the upper bound for the inner integral 7-3y rather than 4?
@kristakingmath7 жыл бұрын
Because the upper bound for x is only 4 at y=1. When y is greater than 1, the upper bound for x is found along the line x=7-3y. Since the upper bound for x varies, you have to make it 7-3y, not just 4.
@ningxinyang67137 жыл бұрын
thanks so much :) keep up the great work!!!
@حسينعلي-و4ج9ص7 жыл бұрын
thanks you 🌷🌷🌷💖😘💖🌷🌷🌷
@kristakingmath7 жыл бұрын
You're welcome!
@gilbertosimango573910 жыл бұрын
how to get the formula of the y and x from the graphy?
@canveahmetkayacan9 жыл бұрын
from the Two Point known line equation , y-y2/x-x2 equals y2-y1/x2-x1
@kristakingmath11 жыл бұрын
:)
@IfautahSkimm4 жыл бұрын
I feel math people make the examples really easy and convenient to themselves. Solve something involving extra variables (h,a) or something which is not a perfect shape! What happens if there is not discernible minimum or maximum. I am tired of seeing the same examples over and over which don't help me solve the problem I have on hand. There is no need for 700 videos explaining how to find the volume of a simple geometrical figure with an extremely convenient function which won't appear on any test or homework EVER!
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