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[2, 5]? (10 points) Let f be the function defined by f(t) = e' - 1. Which of the following represents the average rate of
[2, 5]? (10 points) Let f be the function defined by f(t) = e' - 1. Which of the following represents the average rate of change of f on the interval 5 3 2 5 O 5 3 O es - e2 3\fLet h be a differentiable function with a tangent line at x = It. The equation of the tangent line is y = -0. 1x + 0.6. What must be true about h and h' at x = n? (10 points) 1. h(0) = 0.6 Il. h(n) = 0.2858 Ill. h'(n) = 0.5 I and II Il and Ill O Il only Ill only5 y 4 3 - N X 0 -1 -2 -3 -4 25 4 3 2 -1 0 1 2 3 4 5 The graph of the function f(x) is shown. Which of the following could be the graph of f '(x)? (10 points)\fLet f be the function defined by f(x) = Ix + 21 for all x. Which of the following statements is true? (10 points) )x = -2 is a vertical asymptote of the graph of f Ofis continuous but not differentiable at x = -2 O f is differentiable at x = -2 O f is not continuous at x = -2It is given that f(x) = _ _, and g(x) = = 2x + c 1Find some integer c such that ( - ) = 2. (10 points ) O -18 O - 6 O -2 Oo 9. (02.06 MC) Which is equivalent to " sin sintcost? (10 points) cost - sin't O -cost-sint O 1 Oo 10. (02.07 MC) Let g be the function given by g(x) = lim metthe* What is the instantaneous rate of change of g with respect to x at x = 2? (10 points) h-+0 h O -e 2e O e 2 O 2 -1
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