Use the appropriate Taylor polynomial of degree 3 at x = 0 to approximate the quantity. Round the answer to four decimal places.

A. 4.9910
B. 4.9903
C. 4.9915
D. 4.9919


Answer: A

Mathematics

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Evaluate the derivative.f(x) = 5 tanh-1(cos x)

A. - 
B. - 
C. - 
D. ln sin x

Mathematics

Find the distance between the pair of points. Give an exact answer, and where appropriate, an approximation to three decimal places.(-0.2, 3.9) and (6.7, -5.3)

A. , 14.727
B. 23
C. 11.5
D. , 6.085

Mathematics

Solve the problem.Given the following revenue and cost functions, find the x-value that makes profit a maximum. (Recall that profit equals revenue minus cost.) R(x) = 58x - 2x2; C(x) = 25x + 98

A. 8.25 B. 9.25 C. 14.5 D. 16.5

Mathematics

Solve the system of equations.

A. x = 1, y = 4, z = -2; (1, 4, -2) B. x = -2, y = 4, z = 1; (-2, 4, 1) C. x = 1, y = -2, z = 4; (1, -2, 4) D. inconsistent

Mathematics