Solve the problem.Find the centroid of the half-sphere formed by rotating the first-quadrant area under the curve  (measurements in inches) about the y-axis.

A. 4.5 in. above the center of the base
B. 3.75 in. above the center of the base
C. 3 in. above the center of the base
D. 2.25 in. above the center of the base


Answer: D

Mathematics

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Find  by using the Chain Rule. Express your final answer in terms of t.w = ex cos y + ey cos x; x = 9t, y = -4t

A. e-4t(9 cos -4t + 4 sin -4t) e9t(-4 cos 9t - 9 sin 9t) B. e9t(9 cos -4t + 4 sin -4t) e-4t(-4 cos 9t - 9 sin 9t) C. e-4t(9 cos -4t - 4 sin -4t) e9t(-4 cos 9t + 9 sin 9t) D. e9t(9 cos -4t - 4 sin -4t) e-4t(-4 cos 9t + 9 sin 9t)

Mathematics

Find the area.a = 23 cm, b = 44 cm, c = 39 cm

A. 760 cm2 B. 450 cm2  C. 900 cm2  D. 858 cm2 

Mathematics

Solve the problem.Find x.

A. 61° B. 58° C. 70° D. 52°

Mathematics

Find the solution set of the system by graphing the equations by hand. If the system is inconsistent or dependent, say so. 

A. (1, -4) B. (1, 4) C. (-4, -1) D. (-4, 1)

Mathematics