Evaluate the definite integral. Express the answer in terms of natural logarithms.

A.  ln
B.  ln
C. ln
D. ln 2


Answer: A

Mathematics

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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.

Mathematics

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

Mathematics

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

Mathematics

?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

Mathematics