The length of a rectangle is 1 inch more than twice it’s width. If the perimeter of the rectangle is 20 inches, what are the dim
2 answers:
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Answer: A.
B. A'(5) = 1.76 cm/s
Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.
A. Area of a circle is given by
So to find the rate of the area:
Using
Then
Multipying and simplifying:
The rate at which the area is increasing is given by expression .
B. At t = 5, rate is:
At 5 seconds, the area is expanded at a rate of 1.76 cm/s.