Evaluate the definite integral. Express the answer in terms of natural logarithms.
A. ln
B. ln
C. ln
D. ln 2
Answer: A
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Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = (-x)3
A.
B.
C.
D.
First estimate the answer. Then add or subtract to find the exact answer. Write answer as a mixed number.
A. Estimate: -2; Exact: - 2
B. Estimate: -3; Exact: 8
C. Estimate: -3; Exact: - 2
D. Estimate: -2; Exact: - 2
Solve the formula for the indicated variable.S = 2?rh + 2?r2 for h
A. h = - 1
B. h =
C. h = 2?(S - r)
D. h = S - r
?Average costs. Suppose the average costs of a mining operation depend on the number of machines used, and average costs, in dollars, are given by ,
, where x is the number of machines used. What is the minimum average cost?
?
A. ?$0 B. ?$35 C. ?$490 D. ?$245 E. ?$8582