Question: 4. [7 pts] Consider the wedge shape pictured below. The length r is decreasing at a rate of 3 in/min while the area of the

4. [7 pts] Consider the wedge shape pictured below. The length

4. [7 pts] Consider the wedge shape pictured below. The length r is decreasing at a rate of 3 in/min while the area of the wedge is increasing at a rate of 5 in2 /min . At what rate is the length 5 changing when r = 10 in and the area ofthe wedge is 100 in2 ? Give an exact answer with a unit of measure. In terms of 6 (in radians) and r (in inches) shown in the figure, the area A of the enclosure is given by 1 A = r26. The length of the curved part of the enclosure (in inches) is s = r6. 2

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