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.






c.

Mathematics

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Solve the problem.Sketch a continuous curve y = f(x) with the following properties: f(2) = 3; f"(x) > 0 for x > 4; and f"(x) < 0 for x < 4 .

What will be an ideal response?

Mathematics

Simplify the expression.(-8)4/3

A. 64 B. 16 C. not a real number D. -16

Mathematics

Solve.Normal body temperature is 98.6°F. Ellen's temperature is   How many degrees above normal body temperature is this?

A. 2.3 degrees B. 1.2 degrees C. 2.2 degrees D. 1.3 degrees

Mathematics

Let p represent a true statement, and let q and r represent false statements. Find the truth value of the given compound statement.~(p ? q) ? (r ? ~q)

A. False B. True

Mathematics