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Unformatted text preview: es slightly), then the
A. increases B. stays the same C. decreases D. There is not enough information. 5. (10 points) Let f (x) = x4 − x2 + 1.
(a) Find the average rate of change of f (x) over the interval [1, 2].
(b) Find the average rate of change of f (x) over the interval [1, 1.01].
(c) Find the instantaneous rate of change of f (x) at x = 1. 6. (10 points) Find the equation of the tangent line at x = 4 to the function
1+ x 3
f (x) =
x2 7. (15 points) A baseball is thrown into the air oﬀ the top of a building. Its height in feet after t seco...
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