Monday

March 30, 2015

March 30, 2015

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

**Answer this Question**

**Related Questions**

Math - Jason has to sell a box of candy bars for a fundraiser. Yesterday he sold...

Calc - A hemisphere of radius 5 sits on a horizontal plane. A cylinder stands ...

mathematics - A can of aerosol deodorant has a cylindrical shape with a ...

Math - A hemisphere of radius 7 sits on a horizontal plane. A cylinder stands ...

algebra - Denise is designing a storage box in the shape of a cube. Each side of...

arithmetic - Denise is designing a storage box in the shape of a cube. Each side...

Math - Denise is designing a storage box in shape of a cube. Each side of the ...

Calc- Urgent Please - An open box (has a bottom but no top) needs to be ...

geometry - denise is designing a stroage box in the shape of a cube. Each side ...

calculus - A closed cardboard box is made with a square top and bottom, and a ...