Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by x =
, 0 ? y ?
, x = 0
A.
B. 4?
C.
D. 2?
Answer: A
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Solve the problem.A 25-kg mass is attached to a spring that hangs vertically and is stretched 2 m from the equilibrium position of the spring. Assume a linear spring with F(x) = kx. How much work is required to compress the spring and lift the mass 1 m? Round to four decimal places when appropriate.
A. 183.75 J B. 275.625 J C. 30.625 J D. 428.75 J
Find an equation for the circle.Center at (5, -7), radius of length
A. (x - 5)2 + (y + 7)2 =
B. (x + 5)2 - (y + 7)2 = 25
C. (x + 5)2 + (y - 7)2 =
D. (x - 5)2 + (y - 7)2 =
Solve the inequality. Write the solution set in interval notation and graph it.2(x - 2) - 16x < 2(-6x - 9) - 3x
A. (-?, -14)
B. (-?, 14)
C. (14, ?)
D. (-14, ?)
Solve the problem.The median weekly incomes of full-time male workers for various age groups are listed in the table below. (Source: Bureau of Labor Statistics, 4th quarter of 1999 data)Let M represent the median weekly income (in dollars) of men at age a years. Here is the quadratic regression equation for M: M = -0.55a2 + 52.01a - 456.46Use this model to determine at what age(s) the median weekly income of men is equal to $700.
A. 36, 61 B. 36, 59 C. 37, 58 D. 35, 60