Use a differential to approximate the quantity.



Round the result to the nearest thousandth, if necessary.

__________

Fill in the blank(s) with the appropriate word(s).


3.002

Mathematics

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Sketch the graph of the pair of functions. Use a dashed line for g(x).f(x) = x3 , g(x) = -x3 - 4

A.

B.

C.

D.

Mathematics

Find the inverse of the function.f(x) = 9x + 3

A. f-1(x) = log9(x - 9) B. f-1(x) = log9(x + 3) C. f-1(x) = log9(x - 3) D. f-1(x) = log9(x + 9)

Mathematics

Solve for x. Round your answer to 2 decimal places.

A. 20.05 B. 9.01 C. 14.42 D. 32.08

Mathematics

Solve.The formula  models the percentage of female tenured faculty, F, at State University x years after 2010. According to the formula, in what year will the percentage of female tenured faculty reach 40.16?

A. 2034 B. 2032 C. 2035 D. 2033

Mathematics