Given y = f(u) and u = g(x), find dy/dx = f'(g(x))g'(x).y = sin u, u = cos x

A. - cos(cos x) sin x
B. sin(cos x) sin x
C. - cos x sin x
D. cos x sin x


Answer: A

Mathematics

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Solve the problem using the rule of 78.A fisherman buys a new boat for $50,000. He makes a down payment of $17,000 and finances the balance at 8.5% APR over 60 months. Before making the 47th payment, the fisherman decides to pay the remaining balance on the loan. How much interest will the fisherman save?

A. $335.93 B. $574.34 C. $352.53 D. $379.07

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Solve the problem.During each cycle, the vertical displacement s of the end of a robot arm is given by  where t is the time. Find the expression for the instantaneous velocity of the end of the robot arm.

A. 8t3 - 15t2 + 6t - 2 B. 8t3 - 13t2 + 6t + 2 C. 2t3 - 15t2 + 3t - 2 D. 8t2 - 10t + 2

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Construct a truth table for the statement.~(p ? q) ? (p ? (~s ? q))

A.

TTTT
T T F T
T F T F
T F F F
F T T T
F T F T
F F T T
F F F T
B.
TTTT
T T F F
T F T T
T F F F
F T T T
F T F T
F F T T
F F F T

Mathematics

Provide an appropriate response.Write an expression and simplify to find the area of the following:

What will be an ideal response?

Mathematics