Find the volume of the solid generated by revolving the shaded region about the given axis.About the y-axis

A. 3?2 - 6?
B. 6?2 - 12?
C. 12?
D. 6?2 + 3?


Answer: B

Mathematics

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Use reduction formulas to evaluate the integral.

A. 8 sin 2x -  sin3 2x + C
B. 4 sin 2x -  cos3 2x + C
C. 4 sin 2x +  sin3 2x + C
D. 4 sin 2x -  sin3 2x + C

Mathematics

Solve the problem. Use an annual percentage rate table if necessary.Jessica used a fixed installment loan from her bank to finance her used car purchase. She borrowed $12,000 and has a 60 monthly payments of $249.10 each. Instead of making her 36th payment, Jessica decides to pay the remaining balance on the loan. What is the total amount due to pay off the balance (use the actuarial method)?

A. $5676.95 B. $5926.05 C. $5374.78 D. $5613.64

Mathematics

For what values of x does the series converge conditionally?

A. x = 1 B. x = -1 C. x = ±1 D. None

Mathematics

Use the figure below to find the measure of angle 3.

Mathematics