Use the method of cylindrical shells to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated axis. Sketch the region and a representative rectangle.

y = , y = 0, x = 3; the y-axis


Mathematics

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Solve the problem.To get a C in history, Nandan must average 73 on four tests. Scores on the first three tests were 66, 76, and 63. What is the lowest score that Nandan can get on the last test and still receive a C?

A. 70 B. 14 C. 68 D. 87

Mathematics

Round the number to the place indicated.Round to the nearest thousandth: 5.04406

A. 5.045 B. 5.043 C. 5.044 D. 5.0441

Mathematics

Expand the binomial.(2x + 4)4

A. 64x4 + 512 x3 + 384x2 + 2048x + 256 B. (4x2 + 8x + 16)4 C. 16x4 + 128x3 + 384x2 + 512x + 256 D. 16x3 + 128x2 + 384x + 512

Mathematics

Give the coordinates of the vertex and sketch the graph of the equation.y = x2 + 2x + 2 

A. (1, 3)

B. (1, 1)

C. (-1, 1)

D. (-1, -3)

Mathematics