Evaluate the integral using the given substitution. dx , u = x5 - 8

A. x15 - 8 + C
B. (x5 - 8)3 + C
C. (x5 - 8)3 + C
D. (x5 - 8)1 + C

Answer: C

Mathematics

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Evaluate the integral.

A. - x e-2x - e-2x + C
B. -10x e-2x - 26 e-2x + C
C. -x e-2x - e-2x + C
D. x e-2x + e-2x + C

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Mathematics

An expression that occurs in calculus is given. Write the expression as a single quotient in which only positive exponents and/or radicals appear.10x3/2(x3 + x2) - 12x5/2 - 12x3/2

A. 2x3/2(x + 1)(5x2 - 6) B. x3/2(x - 1)[10(x2 - 1) - 2] + 10x3 C. 10x3/2(x3 - 1) + 10x3 - 2x3/2(x - 1) D. 10x3/2(x + 1)(5x2 - 6)

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Mathematics

Solve the system. 8x + 3y - z = 77  x - 2y + 8z = 15-7x + y + z = -38

A. {(7, 3, 8)} B. {(7, 8, 3)} C. ? D. {(-7, 8, 14)}

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Mathematics

Solve the equation for the specified variable.P =   for t

A. t = 
B. t = 
C. t = P - rA
D. t = 

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Mathematics