26. Let f be function defined by f(x) = x^3 + x. If g is the reverse function of f, what is the slope of the line tangent to the graph of g at the point (2,1) ?
Answer :
27.
The function f is continuous on the closed interval [0,5] and differentiable on the open interval (0,5). Selected values of f are given in the table shown. The value c = 4 satisfies the conclusion of the Mean Value Theorem for f on the closed interval [0,5]. What is the slope of the line tangent to graph of f at x = 4 ?
Answer :
28. Let f be a function with f(0) = 0 and derivative given by f'(x) = cos (x^2) . Which of the following is the Maclaurin series for f ?
Answer :
29.
Let R be the region bounded by the graph of y = ln x , the vertical line x = e^2 , and the x-axis , as shown in the figure. Which of tthe following integrals are equal to the area of R ?
Answer :
30.
lim n →∞
k=1Σ n
(3/n k)^2 (3/n) is ...
Answer :
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