Find equations of f and g such that h(x) = f(g(x)).h(x) = (2 - 5x3)2
A. f(x) = 2 - 5x2; g(x) = x3
B. f(x) = x2; g(x) = 2 - 5x3
C. f(x) = 2 - 5x3; g(x) = x2
D. f(x) = x2; g(x) = 2 - 5x
Answer: B
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Find the derivative.s = t6 cos t - 12t sin t - 12 cos t
A. 
= - t6 sin t + 6t5 cos t - 12t cos t
B. 
= - t6 sin t + 6t5 cos t - 12t cos t - 24 sin t
C. 
= - 6t5 sin t - 12 cos t + 12 sin t
D. 
= t6 sin t - 6t5 cos t + 12t cos t
Solve the problem.A batch of 100 calculators contains 5 defective calculators. If 6 calculators are selected at random from this batch, determine the probability that exactly two of those selected are defective.
A. 0.0267 B. 0.0217 C. 0.0347 D. 0.0174
Draw a valid conclusion from the given premises.Hard workers sweat. Sweat brings on a chill. Anyone who doesn't have a cold never felt a chill. Anyone who works doesn't have a cold.Therefore....
A. Anyone who has a cold works hard. B. Hard workers don't get colds. C. Anyone who sweats works hard. D. Hard workers don't go to work.
Factor by grouping.15a3 + 10a2b + 18ab2 + 12b3
A. (5a2 + 6b2)(3a + 2b) B. (5a2 - 6b2)(3a - 2b) C. (15a2 + 6b2)(a + 2b) D. (5a2 + 6b)(3a + 2b)