@@leaabdul-khalek5158 taking all possible situations into account meant that he needed to do point B and C and D, because it's possible to row in the middle. Towards the end is where we figured for points B and C. The only reason it seemed like we went directly for D is the fact that finding for D was more complicated than finding for B and C so it took longer to do. Also the fact that we did it first.
Go to 40:32 of the video. He explains that x has the the domain [0,8] and that you plug in values for A, D, and B to see which gives the smallest answer for time. However, if you set the derivative for total time = 0, you will solve for an x value that minimizes time to get from A to B. In other words, if x = 0, row directly to C and then run 8 km, etc...
on the 5th problem when taking the derivative of the inside function r^2-x^2, how did you end up with just -2x? do we not take the derivative of the r^2 as well since they are both inside the parentheses? (time stamp around 47:55)
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This was great. Your calmness made it very easy to follow. I'll check out more of, and recommend your videos.
Thank you. I really appreciate it.
Thank you so much you are better than my Calculus Teacher !
You’re welcome.
great examples with better explenation thank you very much
Thank you.
This helped me so much 😭 thank you!
You’re welcome. Glad it helped.
Writing an exam in 12 hours. Thank you.🤝
You’re welcome.
Thank you Steve Crow 🤝
You’re welcome.
Hi for problem 4, why did we assume directly that we rowed to some point D? How did u find the times for point A or C?
I meant B and C not A
@@leaabdul-khalek5158 taking all possible situations into account meant that he needed to do point B and C and D, because it's possible to row in the middle. Towards the end is where we figured for points B and C. The only reason it seemed like we went directly for D is the fact that finding for D was more complicated than finding for B and C so it took longer to do. Also the fact that we did it first.
Go to 40:32 of the video. He explains that x has the the domain [0,8] and that you plug in values for A, D, and B to see which gives the smallest answer for time. However, if you set the derivative for total time = 0, you will solve for an x value that minimizes time to get from A to B. In other words, if x = 0, row directly to C and then run 8 km, etc...
What a soothing voice
Thank you.
IIf you see this Steve, you are amazing! Thank you
Thank you.
This popped up as I was doing my work on optimization
👍
In the boat problem: what does X represent; time or distance? The formula u used is time then X can get more than 8 then...is it?
This is great!! I have a quiz on optimization next period 🙏
Thank you. Good luck on your quiz.
what is the domain though
this really helped... thank you🙏
You’re welcome. Glad it helped.
That's great 🙏🙏🙏
Thank you.
thank you
You’re welcome.
31:09
on the 5th problem when taking the derivative of the inside function r^2-x^2, how did you end up with just -2x? do we not take the derivative of the r^2 as well since they are both inside the parentheses? (time stamp around 47:55)
r is treated like a constant.
thanks!
You’re welcome.