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

Let A be the area if 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 a rate of 1/pi units per minute, at what rate is the area A changing when k = 1/2?

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