At a certain instant the radius of a right circular cylinder is 6 inches and is increasing at the rate of 0.2 inch per second, while the altitude is 8 inches and is decreasing at the rate of 0.4 inch per second. Find the time rate of change of the surface area, in square cm per second at that instant.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.87TI: Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this...
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At a certain instant the radius of a right circular cylinder is 6 inches and is increasing at the rate of 0.2 inch per second, while the altitude is 8 inches and is decreasing at the rate of 0.4 inch per second. Find the time rate of change of the surface area, in square cm per second at that instant.

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