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carlodelmundo
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Homework Statement
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 ?
Homework Equations
Fundamental Theorem of Calculus
The Attempt at a Solution
Here's my work insofar:
http://carlodm.com/calc/prob2.jpg
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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