Solve the problem.Find a polynomial that represents the volume of the cube.

A. 8x3 + 27
B. 8x3 + 36x2 + 54x + 27
C. 8x3 + 108x + 27
D. 24x2 + 72x + 54


Answer: B

Mathematics

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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 y-axis.y = , y = 0, x = 5, x = 7

A. 18? B. 6? C. 9? D. 12?

Mathematics

Solve the problem.A heavy-duty shock absorber is compressed 1 cm from its equilibrium position by a mass of 500 kg. How much work is required to compress the shock absorber 4 cm from its equilibrium position? (A mass of 500 kg exerts a force (in N) of 500g, where g ? 9.8 m/s2.)

A. 392 J B. 40 J C. 39,200 J D. 4000 J

Mathematics

The graph of the polynomial f(x) is shown in the figure. Estimate the zeros and state whether their multiplicities are odd or even.

A. -3 (even), -1 (odd), 1 (odd), 3 (even) B. -3 (odd), -1 (even), 1 (even), 3 (odd) C. -3 (odd), -1 (odd), 1 (odd), 3 (odd) D. -3 (even), -1 (even), 1 (even), 3 (even)

Mathematics

Provide an appropriate response.Suppose that a company can produce 15,000 units when the number of hours of skilled labor y and unskilled labor x satisfy 500 = (x + 1)1/4(y + 9)1/5. Find , the rate of change of skilled labor hours with respect to unskilled labor hours.

What will be an ideal response?

Mathematics