Establish the identity.sin(4u) = 2 sin(2u) cos(2u)
What will be an ideal response?
sin(4u) = sin [2(2u)] = 2 sin(2u) cos(2u).
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Find the volume.Find the volume of the solid generated by revolving the area under y = 5e-x in the first quadrant about the y-axis.
A. 10? B. 20? C. 5? D. 1
Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given.a = -4; d = 5an = ?; a8 = ?
A. an = -9 - 5n; a8 = 31 B. an = -9 + 5n; a8 = 56 C. an = -4 + 5n; a8 = 31 D. an = -9 + 5n; a8 = 31
Determine the real solutions to the system of nonlinear equations.2x2 + y2 = 66x2 + y2 = 41
A. (4, 5), (-4, -5) B. (5, 4), (-5, -4) C. (4, 5), (-4, 5), (4, -5), (-4, -5) D. (5, 4), (5, -4), (-5, 4), (-5, -4)
Solve the problem.Assume that a watermelon dropped from a tall building falls 
in t sec. Find the watermelon's average speed during the first 5 sec of fall and the speed at the instant 
A. 80 ft/sec; 160 ft/sec B. 160 ft/sec; 81 ft/sec C. 40 ft/sec; 80 ft/sec D. 81 ft/sec; 162 ft/sec