Barrons AP Calculus

(Marvins-Underground-K-12) #1




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Given   two twice-differentiable    functions,  f   (x) and g(x).   The table   above
gives values for f (x) and g(x) and their first and second derivatives at x =


  1. Find


0
1
6
nonexistent
Using the left rectangular method and four subintervals of equal width,
estimate where f is the function graphed below.

4
8
12
16

Given   the function    f   (x) =   2   cos(3x  −   1)  −   0.5e0.5x,   find    all values  of  x   that
satisfy the result of the Mean Value Theorem for the function f on the
interval [−3,−1]. Note: The derivative of f is f ′(x) = −6 sin(3x − 1) −
0.25e0.5x.
−2.800 and −1.772
−2.242 and −1.296
−2.812 and −1.760
−2.843 and −1.729
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