Question: 8. Given that D(sin x) = cos x , D(sec x) = sec x . tan x , and D(e*) = ex, compute f' for

8. Given that D(sin x) = cos x , D(sec x) = sec x . tan x , and D(e*) = ex, compute f' for the following: a) f(x) = e2x b) f (x) = sinx + sec x c) f (x ) = sin x [5] 9. A mass attached to a spring is at a height of h(t) = 3 2 sin t 1 + 0.1t2 feet above the floor t seconds after it is released. a) Graph the function h(t), for 0 S t s 5m b) At what height is the mass wen it is released? c) Determine the velocity of the mass at time t. d) What happens to the height and the velocity of the mass a "long time" after it is released

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