Solve the problem.Find the volume of the solid generated by revolving the region bounded by the curve  and the   about the x-axis.

A. ?2
B. ?3
C. 9?
D. 9?2


Answer: A

Mathematics

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Find the equilibrium solution of the equation. Use a sketch of the direction field for  to determine whether the equilibrium is stable.y'(t) + 5u + 25 = 0

A. y = -5; unstable
B. y = ; unstable
C. y = - ; stable
D. y = 5; stable

Mathematics

Write the function in standard form and find the vertex.f(x) = -4x2 + 8x - 6

A. f(x) = -4(x + 2)2 - 38; (-2, -38) B. f(x) = -4(x - 2)2 - 14; (2, -14) C. f(x) = -4(x + 1)2 - 18; (-1, -18) D. f(x) = -4(x - 1)2 - 2; (1, -2)

Mathematics

Solve and graph the solution set. Write the solution using interval notation.-7 < x + 2 ? 3

A. [-5, 5)

B. (-5, 5]

C. [-9, 1)

D. (-9, 1]

Mathematics

Solve the quadratic equation using the most efficient technique (factoring, extracting square roots, completing the square, or the quadratic formula).x2 + x +  = 0

A.
B.
C.
D.

Mathematics