Evaluate the integral by making a substitution and then using a table of integrals.

A. tan-1   + C
B. tan-1   + C
C. sin-1   + C
D. sin-1   + C


Answer: A

Mathematics

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Eliminate the parameter of the pair of parametric equations.x = 5 tan t, y = 4 cot t

A. xy = 20
B. y =  sin x
C. y =  cos x
D.  = 20

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Solve.A signal tower is 57 meters tall. How tall is it in feet? Round to the nearest tenth if needed.

A. 19.0 ft B. 187.0 ft C. 171 ft D. 17.4 ft

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Find the derivative.s = t3 tan t - 

A.  = - t3 sec2 t + 3t2 tan t + 
B.  = t3 sec t tan t + 3t2 tan t - 
C.  = t3 sec2 t + 3t2 tan t - 
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Find the center, foci, and vertices of the ellipse. +   = 1

A. center at (0, 0)
foci at (0, - 3) and (0, 3)
vertices at (0, -6), (0, 6)
B. center at (0, 0)
foci at (0, -6) and (0, 6)
vertices at (0, -36), (0, 36)
C. center at (0, 0)
foci at (0, 6) and (3, 0)
vertices at (0, 36), (9, 0)
D. center at (0, 0)
foci at (- 3, 0) and (3, 0)
vertices at (-6, 0), (6, 0)

Mathematics