Solve the problem.A right circular cylinder is obtained by revolving the region enclosed by the line x = r, the x-axis, and the line
about the y-axis. Find the volume of the cylinder.
A. ?rh2
B. ?r2h
C. ?rh
D. 2?r2h
Answer: B
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Solve.An object is at rest at t = 0 seconds and then begins accelerating at a constant 8 feet per second per second. The distance the object travels in the first t seconds is given by the polynomial 4t2. Find the distance the object travels in the first 3 seconds.
A. 24 feet B. 36 feet C. 12 feet D. 9 feet
Solve the problem.Data regarding the amount spent by a government department is represented in the following graph. Find the slope of the line and interpret the slope.
A. 0.35; Decrease of $0.35 billion per year B. 0.25; Increase of $0.25 billion per year C. 0.15; Increase of $0.15 billion per year D. 0.25; Decrease of $0.25 billion per year
For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept.f(x) = 2(x2 + 3)5
A. - , multiplicity 2, touches x-axis; -3, multiplicity 5, crosses x-axis
B. - , multiplicity 2, crosses x-axis
C. , multiplicity 2, touches x-axis; 3, multiplicity 5, crosses x-axis
D. - , multiplicity 2, touches x-axis
Solve the problem.A $84,000 trust is to be invested in bonds paying 9%, CDs paying 8%, and mortgages paying 10%. The bond and CD investment must equal the mortgage investment. To earn a $7880 annual income from the investments, how much should the bank invest in bonds?
A. $32,000 B. $30,000 C. $10,000 D. $42,000