Find the whole.29 men is 0.76% of what number of men?
A. 3815.79
B. 38,157.9
C. 262
D. 2.62
Answer: A
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Write the partial fraction decomposition of the rational expression.
A. +
+
B. +
+
C. +
+
D. +
+
Find the limit of the function algebraically.
A. 0 B. Does not exist C. 1 D. 2
Solve by making a u-substitution.x - 13x1/2 + 42 = 0
A. {6, 7} B. {-36, 49} C. {36, 49} D. {-6, 7}
Finish the proof.cos 2x = -2 sin 2x. (Use the double-angle identity.)
A. cos 2x =
(cos2 x - sin2 x) =
[(cos x)(cos x) - (sin x)(sin x)]
= (-sin x)(cos x) + (cos x)(-sin x) - (cos x)(sin x) + (sin x)(cos x) = -2 sin x cos x = -2 sin 2x
B. cos 2x =
(cos2 x - sin2 x) =
[(cos x)(cos x) - (sin x)(sin x)]
= (-sin x)(cos x) + (cos x)(-cos x) - (cos x)(sin x) - (sin x)(sin x)
= -2 sin x cos x - cos2 x - sin2 x = -2 sin 2x
C. cos 2x =
(cos2 x - sin2 x) =
[(cos x)(cos x) - (sin x)(sin x)]
= (-sin x)(cos x) + (cos x)(-sin x) - (cos x)(sin x) - (sin x)(cos x) = -4 sin x cos x = -2 sin 2x
D. cos 2x =
(cos2 x - sin2 x) =
[(cos x)(cos x) - (sin x)(sin x)] = 2 cos x - 2 sin x
= -4 sin x cos x = -2 sin 2x