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3. (12 points)

(a)

The rear window wiper blade on a station wagon hasa length of 16 inches. The wiper blade is mountedon a 22 inch arm, 6 inches from the pivot point (asillustrated). If the wiper turns through an angle of105�, how much area is swept clean?

(b) If f(x) = 3x + c and f(f(x)) = 9x� 10, find the value of c.

(c) Find the inverse function of f(x) =(p

x� 1)2

3when restricted to the domain 0 x 1.

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A rotating sprinkle reaches 10 m far and completesa full revolution in 5 min.How much area does it irrigate in 2 min ?How long does it take the sprinkle to irrigate 50

square meters ?

1

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