Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at  and . The cross sections perpendicular to the x-axis between these planes are squares whose bases run from the semicircle  to the semicircle .

A.
B.
C.
D.


Answer: D

Mathematics

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Construct a truth table for the statement.(p ? q) ? (p ? q)

A.


B.


C.


D.


Mathematics

Use the integral test to determine whether the series converges.

A. converges B. diverges

Mathematics

Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation ), and factor f(x) into linear factors.f(x) = x4 - 6x3 + 11x2 - 12x + 18

A. -3 (multiplicity 2), 2i, -2i ; f(x) = (x + 3)2(x - 2i)(x - 2i)
B. 3 (multiplicity 2), i, -i ; f(x) = (x - 3)2(x - i)(x + i)
C. 3 (multiplicity 2), , - ; f(x) = (x - 3)2(x - )(x + )
D. -3, 3 , i, -i ; f(x) = (x - 3)(x + 3)(x - i)(x + i)

Mathematics

Use the principle of estimation to find an estimate for the calculation.192,561 ÷ 54

A. 4000 B. 40 C. 200 D. 2000

Mathematics