(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let A be the area of the region in the first quadrant under the graph of y = cos (x) and above the line y = k for 0 <= k <= 1.

a.) Determine A in terms of k.

b) Determine the value of A when k = 1/2.

c) If the line y = k is moving upward at the rate of ( 1 / pi ) units per minute, at what rate is the area, A, changing when k = 1/2 ?

2. Relevant equations

Fundamental Theorem of Calculus

3. The attempt at a solution

Here's my work insofar:

For c.) I have no idea on how to tackle this problem. Should I derive my area formula in terms of dt?

Thanks

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# Calc BC - Integration Problem involving Constants of Integration and Related Rates

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