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December 20, 2014

December 20, 2014

Posted by **Equihua** on Friday, January 4, 2013 at 2:16pm.

A.Find the value of dr/dy at the point r=2, y=6.

B.Use your value of dr/dy to approximate the new radius for these boxes.

- calculus -
**Steve**, Friday, January 4, 2013 at 3:01pmThe formula has a typo. Should be

V= (1/2) ((4pir^3)/(3))+ pi r^2 (y-r)

or

v = 2π/3 r^3 + πr^2 (y-r)

= πr^2 y - π/3 r^3

2πryr' + πr^2 - πr^2 r' = 0

r' = r/(r-2y)

r'(6) = 2/(2-12) = -1/5

dr = dr/dy * dy

= -1/5 (-.25) = 0.05

so, r = 2.05

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