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

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


Answer: B

Mathematics

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For the given rectangular equation, write an equivalent polar equation.x2 + y2 - 10x = 0

A. r = 10 sin ? B. r = 10 sin2? C. r = 10 cos ? D. r = 10 cos2 ?

Mathematics

Find the indicated probability.The following table displays a distribution for a group of retired people by career and age at retirement. Suppose one of these people is selected at random. Compute the probability that the person selected was a store clerk. Round your answer to the nearest thousandth.

A. 0.099 B. 0.327 C. 0.025 D. 0.250

Mathematics

Translate the sentence to an equation using the variable x. Then solve the equation.A number minus 2 equals 4.

A. x - 2 = 4; 6 B. x = 2 - 4; -2 C. 2 - x = 4; -2 D. x = 4 - 2; 2

Mathematics

Determine the domain and range of the function.

A. domain: (-?, ?); range: [0, 4] B. domain: (-?, ?); range: (0, 4) C. domain: (0, 4); range: (-?, ?) D. domain: [0, 4]; range: (-?, ?)

Mathematics