 # 27. Let f(x) be a polynomial function such that f(4) = - -1,f'(4) =...

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27. Let f(x) be a polynomial function such that f(4) = - -1,f'(4) = 2, and f"(4) = 0. If x &lt; 4, then f" (x) &lt; 0 and if x &gt; 4, then f"(0) &gt; 0. The point (4,-1) is which of the following for the graph of f? (A) Relative maximum (B) Relative minimum (C) Critical value (D) Inflection point (E) None of these 31. The graph of the function f is given to the right. Find the value of 2 f' at the indicated extremum. (A) Does not exist -2 2 (B) -6 (C) 0 (-1, - -1.5) (D) - -2 (E) None of these 35. Find all points of extrema on the interval [0,2%] if y = x - cos X. (A) (-1,-1+)") 2 (B) + 1) (C) (-1,0) 3nt 3n (D) 2 2 (E) None of these 36. lim In(4+h)-In 4 = h h (A) 0 (B) 1/ (C) 1 (D) e (E) nonexistent -x 37. What = is the slope of the line tangent to the graph of y e ? @ X = 1 x+1 1 3 1 1 (A) - (B) - (C) (D) (E) - 1 e 4e 4e 4e e

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