CORRECTION: In problem 1, at 8:06, the written volume of 118 in^3 is incorrect. 6x6x3 = 108, and hence 108 in^3 is the correct volume. Join Wrath of Math to get exclusive videos, lecture notes, music, and more: th-cam.com/channels/yEKvaxi8mt9FMc62MHcliw.htmljoin
Ha! Do you know how many different calculations I did, trying to get 118, haha! I finally realized, "Okay, that is supposed to be 108." I should have checked the comments first! Thank you so much for this video! Extremely helpful!
Hi, please add timestamps and video chapters into your videos. Thanks! 0:55 - Finding Dimensions of a box 8:33 - Guidelines for Maximum and Minimum Problems (Larson's Calculus) 9:44 - Finding Dimensions of a square fence 14:00 - Minimizing distance of a point from a parabola 19:47 - Summary
And I minimize the available space on my hard drives! (Bought a new 5TB drive a few months ago, already filled up with math videos, went and bought a 8TB the other day, hopefully gets me through the year)
This I can do...but when it comes to 'the calculus of variations' I'm lost! I have yet to see the original derivation of this concept by Leonard Euler explained in a way that is comprehensible to me. Math to me is just an enjoyable hobby...love your videos and thanks.
Quick question... enjoyed working that last problem before watching. I used d as the primary function rather than the d^2 transformation. Got me thinking... in order to use a transformation to make the arithmetic easy, does the transformation need to be monotonic in nature so that we can say the the min/max of the transformation will occur at the same spot as for the original function? Does the original function also have to be monotonic?
![How to Solve ANY Related Rates Problem [Calc 1]](http://i.ytimg.com/vi/gBHIZlF0TX8/mqdefault.jpg)
![How to Solve ANY Related Rates Problem [Calc 1]](/img/tr.png)
CORRECTION: In problem 1, at 8:06, the written volume of 118 in^3 is incorrect. 6x6x3 = 108, and hence 108 in^3 is the correct volume.
Join Wrath of Math to get exclusive videos, lecture notes, music, and more:
th-cam.com/channels/yEKvaxi8mt9FMc62MHcliw.htmljoin
Ha! Do you know how many different calculations I did, trying to get 118, haha! I finally realized, "Okay, that is supposed to be 108." I should have checked the comments first! Thank you so much for this video! Extremely helpful!
Hi, please add timestamps and video chapters into your videos. Thanks!
0:55 - Finding Dimensions of a box
8:33 - Guidelines for Maximum and Minimum Problems (Larson's Calculus)
9:44 - Finding Dimensions of a square fence
14:00 - Minimizing distance of a point from a parabola
19:47 - Summary
Appreciate you man ❤
We maximize our learning with Wrath of Math! 😊
And I minimize the available space on my hard drives! (Bought a new 5TB drive a few months ago, already filled up with math videos, went and bought a 8TB the other day, hopefully gets me through the year)
This I can do...but when it comes to 'the calculus of variations' I'm lost! I have yet to see the original derivation of this concept by Leonard Euler explained in a way that is comprehensible to me. Math to me is just an enjoyable hobby...love your videos and thanks.
Hey! I do believe there was a miscalculation for the first question 6 x 6 x 3 is 108 in^3 not 118 in^3. Thanks for the video btw!
you are correct
Thanks, just pinned a comment about it!
11:50 shouldn't the interval be 0 < x < 1200 ?
Video was incredibly helpful and the steps were very well explained! Thank you so much!
in the first question x can't be 0 because you divided by x, so the domain is 0
"... but let's just use calculus" haha love it
swear this dude doesn't blink the whole video it's throwing me off but its rly helpful thank u
I'm thinking really hard about my words during these videos, no brain space left to control blinking!
@@WrathofMath those blue eye are staring into my soul, still you did great job wording
He's a reptilian, sent here to teach us math, he's one of the good ones don't worry
This video helped out so much!
Thank you so much for making this video. This video helped me a lot :)
Love ur explanations thank u man 🙏🙏
For the last example why didn’t you use implicit differentiation for d^2 ?
How does the x equal the 1/2 y^2. Thats so confusing to me 15:51
How wait never mind I get what you meant
Quick question... enjoyed working that last problem before watching. I used d as the primary function rather than the d^2 transformation. Got me thinking... in order to use a transformation to make the arithmetic easy, does the transformation need to be monotonic in nature so that we can say the the min/max of the transformation will occur at the same spot as for the original function? Does the original function also have to be monotonic?
thank you!!😊
Thanks for watching!
I'm confused, shouldn't the surface area formula be 2x^2 + 4xh = 108 in^2?
Its an open box so its only x2 because only calculating area for base, no ceiling
3:48am math
good luck!
that's when you were doing it lol
oh right, I'm a busy fella; gotta do the math when I get the chance!
and i wanna maximize the math for my class schedule
Oh yeah yeah Dave
Goat
Appreciate it!