Calculus 3.3 Optimization Problems Part 2

Three tricky problems: 1. Most economical dimensions of a right cylinder can, 2. Dimensions and area of the largest rectangle that can be placed inside a semi circle and 3. Maximizing the area of a window with an equilateral triangle on top and a rectangle on the bottom.

[ruthogiri]

I can't believe I paid thousands of dollars in tuition only to learn everything for free on YouTube. Thanks Ms

[diidelphiis]

Your explanation of the second question was really helpful. Thank you!

[kzsdmxi]

Given that the triangle at 19:16 is equilateral with all angles = 60deg, can you also just use SOHCAHTOA instead? h=sin60x

[shangavim.]

Hi Ms. Havrot!! I was wondering if you can help me with this optimization question: "An isosceles triangle is inscribed in a circle of radius R. Determine the angle θ (between the two equal sides) that maximizes the area of the triangle. Thank you!!

[wazi]

16:24 shouldn't the area just be 32? since both x and y are underoot 32