Exam 11: Extension E: Partial Derivatives

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Use the Chain Rule to find Use the Chain Rule to find   where     where Use the Chain Rule to find   where     Use the Chain Rule to find   where

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The radius of a right circular cone is increasing at a rate of 5 in/s while its height is decreasing at a rate of 3.6 in/s.At what rate is the volume of the cone changing when the radius is The radius of a right circular cone is increasing at a rate of 5 in/s while its height is decreasing at a rate of 3.6 in/s.At what rate is the volume of the cone changing when the radius is   in.and the height is   in.? in.and the height is The radius of a right circular cone is increasing at a rate of 5 in/s while its height is decreasing at a rate of 3.6 in/s.At what rate is the volume of the cone changing when the radius is   in.and the height is   in.? in.?

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The length l,width w and height h of a box change with time.At a certain instant the dimensions are The length l,width w and height h of a box change with time.At a certain instant the dimensions are   and   ,and l and w are increasing at a rate of 10 m/s while h is decreasing at a rate of 1 m/s.At that instant find the rates at which the surface area is changing. and The length l,width w and height h of a box change with time.At a certain instant the dimensions are   and   ,and l and w are increasing at a rate of 10 m/s while h is decreasing at a rate of 1 m/s.At that instant find the rates at which the surface area is changing. ,and l and w are increasing at a rate of 10 m/s while h is decreasing at a rate of 1 m/s.At that instant find the rates at which the surface area is changing.

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Use the Chain Rule to find Use the Chain Rule to find     Use the Chain Rule to find

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Use the Chain Rule to find Use the Chain Rule to find     Use the Chain Rule to find

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