Friday

April 25, 2014

April 25, 2014

Posted by **Julie** on Monday, November 28, 2011 at 1:44pm.

- Calculus AB/AP -
**Steve**, Monday, November 28, 2011 at 2:16pmIf we let the length be L and the height be H, then we have

4LH = 36

LH = 9

L = 9/H

The cost

C = 4L*8 + 4*4H*4

C = 32(9/H) + 64H

C = 288/H + 64H

dC/dH = 64 - 288/H^2

dC/dH = 0 when H = √2.5 = 2.12

so L = 4.24

C = 288/2.12 + 64*2.12 = $271.53

**Related Questions**

calculus - A tank with a rectangular base and rectangular sides is to be open at...

Calculus - Calculate the work (in joules) required to pump all of the water out ...

calculus - Calculate the work (in joules) required to pump all of the water out ...

Calculus/physics - Calculate the work (in joules) required to pump all of the ...

Math 117 - 1.) A rectangular solid and a circular cylinder have the same volume ...

geometry - A rectangular pyramid has the same height and base of a rectangular ...

math - A tank, with a rectangular base and having vertical sides of height 4 m, ...

geometry - An open rectangular glass tank with a horizontal base PQRS measures ...

math - a rectangular tank has the measurement 60cm wide and 2000cm2 water flows ...

AP CALCULUS!!! HELPP - related rates: the base of a pyramid-shaped tank is a ...