Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.x = 5, x = - 5y, y = 1

A. ?
B. 10?
C. ?
D. ?


Answer: C

Mathematics

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Use reduction formulas to evaluate the integral.

A. (sin8 x - sin10 x) + C
B.  sin8 x -  sin10 x + C
C.  sin6 x -  cos10 x + C
D.  cos6 x -  cos8 x + C

Mathematics

Find the specified domain.Find the domain of (f + g)(x) when f(x) = 3x + 9 and g(x) = 

A. (-?, 8) ? (8, ?) B. (-?, -8) ? (-8, ?) C. (-?, -2) ? (-2, ?) D. (-?, ?)

Mathematics

Factor out the greatest common factor. Simplify the factors, if possible.4x(5x + 3) - 5(5x + 3)

A. (20x - 5)(x + 3) B. (20x + 5)(x - 3) C. (4x - 5)(5x + 3) D. (4x + 5)(5x - 3)

Mathematics

Provide the proper response.For the graph of x = y2, in what direction does the parabola open if c > 0?

A. downward B. to the right C. upward D. to the left

Mathematics