For the given functions f and g, find the requested composite function value.f(x) = 2x + 2, g(x) = 2x2 + 1;Find (g ? f)(1).

A. 19
B. 10
C. 33
D. 8


Answer: C

Mathematics

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Use a spherical coordinate integral to find the volume of the given solid.the solid between the spheres  and 

A. ?
B. ?
C. ?
D. ?

Mathematics

Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 2 sin t, y = 4 cos t, 0 ? t ? 2?

A.  +  = 1

Counterclockwise from (0, 4) to (0, 4), one rotation
B.  +  = 1

Counterclockwise from (4, 0) to (4, 0), one rotation
C.  +  = 1

Counterclockwise from (0, 2) to (0, 2), one rotation
D.  +  = 1

Counterclockwise from (2, 0) to (2, 0), one rotation

Mathematics

Solve.xy = 6x + y = 5

A. x = 3, y = -2; x = 2, y = -3 B. x = 3, y = 2; x = 2, y = 3 C. x = -3, y = -2; x = -2, y = -3 D. x = -3, y = 2; x = -2, y = 3

Mathematics

Find the area of the shaded region in the figure. Round results to the nearest unit. Use ? ? 3.14.

A. 80 mm2 B. 49 mm2 C. 134 mm2 D. 99 mm2

Mathematics