Find the volume of the solid generated by revolving the region about the given line.The region in the first quadrant bounded by the line y = 3x3, by x-axis, and by the line x = 1, about the line y = - 1.

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


Answer: D

Mathematics

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Graph the equation in the rectangular coordinate system.x = -1

A.

B.

C.

D.

Mathematics

Solve the problem.At Bargain Car Rental, the cost of renting an economy car for one day is $19.95 plus 20 cents per mile. At Best Deal Car Rental, the cost of renting a similar car for one day is $24.95 plus 15 cents per mile. Solve the inequality 24.95 + 0.15x < 19.95 + 0.20x to find the range of miles driven such that Best Deal is a better deal than Bargain.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function.P(x) = 8x8 + 7x6 + 3x4 + 6x2 + 6

A. 0 positive; 0 or 2 negative B. 0 positive; 0 negative C. 0 or 2 positive; 0 negative D. 4 positive; 0 negative

Mathematics

Find the x- and y-intercepts for the equation. Then graph the equation.y = -3x

A. x-intercept: (0, 0), y-intercept: (0, 0)

B. x-intercept: (0, 0), y-intercept: (0, 0)

C. x-intercept: (0, 0), y-intercept: (0, 0)

D. x-intercept: (0, 0), y-intercept: (0, 0)

Mathematics