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

A. 18?
B. 48?
C. 24?
D. 168?


Answer: C

Mathematics

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Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.r = 4 cos ?

A.

x2 + (y - 2)2 = 4; circle, radius 2,
center at (0, 2) in rectangular coordinates
B.

(x + 2)2 + y2 = 4; circle, radius 2,
center at (-2, 0) in rectangular coordinates
C.

x2 + (y + 2)2 = 4; circle, radius 2,
center at (0, -2) in rectangular coordinates
D.

(x - 2)2 + y2 = 4; circle, radius 2,
center at (2, 0) in rectangular coordinates

Mathematics

Use the product rule to simplify.

A. x6
B. x22
C. x5
D. x11

Mathematics

Determine the slope and the y-intercept for the linear equation. Use the slope and the y-intercept to sketch the graph of the equation.y = x + 2

A. m = , y-intercept: (0, 2)

B. m = , y-intercept: (0, 3)

C. m = - , y-intercept: (0, 3)

D. m = - , y-intercept: (0, 2)

Mathematics

Perform the indicated operations.

A. - 3 B. -1 C. 3 D. 2

Mathematics