Evaluate the integral by making a substitution and then using a table of integrals.

A.  + 8 ln   + C
B.  + 8 sin-1   + C
C.  + 8 ln  + C
D. 8 sin-1   + C


Answer: B

Mathematics

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Translate the expression into the language of algebra. Use the variable x to represent the number.A number decreased by 7

A. x - 7 B. 7 - x C. 7x D. 1 - 7x

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Answer the question.Suppose that an > 0 and bn > 0 for all n ? N (N an integer). If  = ?, what can you conclude about the convergence of ?

A.  diverges if  diverges, and  converges if  converges
B. The convergence of an cannot be determined.
C.  converges if  converges
D.  diverges if  diverges

Mathematics

State the degree and leading coefficient of the polynomial function.f(x) = 19 + 14x + 10x2 - 19x3 - 18x4

A. Degree: 4; leading coefficient: 19 B. Degree: 4; leading coefficient: -18 C. Degree: 19; leading coefficient: -18 D. Degree: 3; leading coefficient: -19

Mathematics

Use the discriminant to determine the number of real solutions of the equation.t2 + 12t + 36 = 0

A. 1 B. No real solutions C. 2

Mathematics