Given y = f(u) and u = g(x), find dy/dx = f'(g(x))g'(x).y = sin u, u = cos x
A. sin(cos x) sin x
B. - cos x sin x
C. cos x sin x
D. - cos(cos x) sin x
Answer: D
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Perform the indicated operation and reduce to lowest terms. -
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B.
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D.
Solve the problem.Assume that the profit P made when t units are sold, t > 0, is given by P(t) = t2 - 18t + 72. For what values of t will there be a profit (that is, P > 0)?
A. t = 6 or t = 12 B. t = 18 C. 6 < t < 12 D. 0 < t < 6 or t > 12
Solve.The difference between a country's exports and imports is called the country's trade balance. If one country had a trade balance of -$94 billion in 1991, $96 billion in 1983, and -$46 billion in 1997. What was the total trade balance for these years?
A. 44 billion dollars B. -44 billion dollars C. 236 billion dollars D. -236 billion dollars
Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the graph opens upward or downward.f(x) = -x2 + 2x + 3
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B.
C.
D.