Use the Chain Rule to differentiate the function. You may need to apply the rule more than once.f(x) = 
A. f'(x) =
B. f'(x) =
C. f'(x) =
D. f'(x) =
Answer: D
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Solve the problem.A rule for estimating the number of board feet of lumber that can be cut from a log depends on the diameter of the log. To find the diameter, d, required to get 7 board feet of lumber, we use the equation Solve this equation for d. Are both answers reasonable?
A. 28, -28; No, only 28 feet is a reasonable answer. B. 32, -24; No, only 32 feet is a reasonable answer. C. 24, -32; No, only 24 feet is a reasonable answer. D. 11, -28; No, only 11 feet is a reasonable answer.
Solve the problem using Bayes' Theorem. Round the answer to the nearest hundredth, if necessary.For mutually exclusive events X1, X2, and X3, let P(X1) = .17, and
Also,
P(Y|X2) = .30 and P(Y|X3) = .60. Find P(X3|Y).
A. .44 B. .38 C. .26 D. .17
Find the indicated term.If a2 = -7 and a3 = 7, find a6.
A.
B. 7
C. -1
D. -7
Find the average of the list of numbers.33, 37, 34, 38, 65, 32, 34
A. 49 B. 38 C. 34 D. 39