Optimization with Calculus 3

A wire of length 100 centimeters is cut into two pieces; one is bent to form a square, and the other is bent to form an equilateral triangle. Where should the cut be made if (a) the sum of the two areas is to be a minimum; (b) a maximum? (Allow the possibility of no cut.)

Category:

Education

Tags:

• Calculus
• optimization
• derivative
• maximum
• minimum

[Bartisim0]

Thank you Sal

[joek1121]

my last name is Khan as well!

I love your videos. TY.

[takfarinas1]

That was fun.

[Adriancfl]

@No1GuildWars2Fan Oops, thanks!

[No1GuildWars2Fan]

@Adriancfl that's 18 not 16

[trippleices1]

@rob5654 it means part 3 not the level lol cuz there's 4 videos

[Adriancfl]

-.- 16*4 isn't 72...

[BornOfAshes23]

How can you guarantee the minimum from 56.5 is the absolute min and not the other endpoint without plugging it in?

[AjGuitarist]

Thanks, almost exactly like the problem i'm working in my notebook, with the exception of it just being two squares. The only thing I don't understand is i'm asked to express the problem in terms of "x" and "y" yet I can only express the combined area with x. Not sure where y would come in because they're both squares.

[blainemj]

@ICarnag3I most likely he used microsoft paint to draw the problem and fraps to record his work.

[ICarnag3I]

Anyone know what the program he's using is called?

[Mikej1592]

@danishvioletgirl ohhhhhhh LOL thanks, I was so fixated on being confused on the concept of the overall problem that I didnt think that 625 was 25^2 thanks for the reply. These problems vex me so.