Answer:
<em>Answer: d) -310pi</em>
Step-by-step explanation:
<u>Instantaneous Rate of Change</u>
Is the change in the rate of change of a function at a particular instant. It's the same as the derivative value at a specific point.
The surface area of a cylinder of radius r and height h is:
We need to calculate the rate of change of the surface area of the cylinder at a specific moment where:
The radius is r=8 mm
The height is h=3 mm
The radius changes at r'=-9 mm/hr
The height changes at h'=+2 mm/hr
Find the derivative of A with respect to time:
Substituting the values:
Calculating:
Answer: d) -310pi