Use integration by parts to establish a reduction formula for the integral.

A.  = cosn-1 x sin x - 
B.  = cosn-1 x sin x - (n - 1) 
C.  = - cosn-1 x sin x + (n - 1) 
D.  = cosn-1 x sin x + 


Answer: D

Mathematics

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Write the number in decimal notation.Fourteen and seven hundred forty-seven thousandths

A. 0.14747 B. 14.747 C. 14.0747 D. 14,747

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Draw a diagram to represent the number.

A.

B.

C.
 
D.

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Perform the indicated operations and write the result in standard form.( + )( - )

A. 7 - 3i
B. 7 - 6i
C. -17 - 3i
D. 7 + 6i

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Solve the problem.Suppose the government wants to impose a tax on fossil fuels to reduce carbon emissions. The cost benefit is modeled by  where x represents the dollars of tax per ton of carbon emitted and P represents the percent reduction in emissions of carbon. (P is in decimal form.) Determine P when  Round to three decimal places.

A. -0.262 B. 1.733 C. -0.20 D. 0.267

Mathematics