Evaluate the integral using integration by parts.

A. xex + 1 + C
B. (x + 2)ex + C
C. (x + 1)ex + C
D. xex + C


Answer: D

Mathematics

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Use implicit differentiation to find the specified derivative at the given point.Find  at the point (2, 1) for ln x + xy2 + ln y = 0.

A. 1
B.
C. -1
D. - 

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Find the product or quotient, using trigonometric form. Write the answer in the form a + bi.(3 - 4i)(8 + 8i)

A. -8 - 56i B. -32i2 - 8i + 24 C. 56 - 8i D. 56 + 8i

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Find the mean.Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age. Round your answer to one decimal place if necessary. 55 67 62 54 63 58 60 51 56

A. 57.2 B. 58.4 C. 58.0 D. 57.8

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Solve the equation for the indicated variable. (Leave ± in your answer, when appropriate.)aS2 + bS = c, for S

A. S = 
B. S = 
C. S = 
D. S = 

Mathematics