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Q8) Let u(x) = 2x2 and f (x) = [u(x)]3 = 8x6. Which of the following...

Q8) Let u(x) = 2x2 and f (x) = [u(x)]3 = 8x6. Which of the following is f ´(x)?

(a) 3[u(x)]2 (b) 3[u´(x)]2 (c) 3[u(x)]2u´(x)

Q9) A rock is thrown into a still pond and causes a circular ripple. If the radius of the ripple is increasing at 2 feet per second, how fast is the area changing when the radius is 10 feet? [Use A = πR2]

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Answer #1

8)

we have

9)

the area of the circular ripple,

put R = 10 and dR/dt = 2,

the area is increasing at rate of 125.66371 feet2/sec.

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