Solve the problem.Find the tangent to y = cot x at x = .

A. y = 2x -  + 1
B. y = -2x + 
C. y = 2x + 1
D. y = -2x +  + 1


Answer: D

Mathematics

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Find the surface area or volume.Use an integral table and a calculator to find to two decimal places the area of the surface generated by revolving the curve   about the x-axis.

A. 99.99 B. 58.17 C. 71.39 D. 81.81

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Solve the problem.Does the graph of the function y = 4x + 2 sin x have any horizontal tangents in the interval  If so, where?

A. Yes, at x = 
B. Yes, at x = , x = 
C. No
D. Yes, at x = , x = 

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Solve the initial value problem.Differential Equation:  = i + (6t3 - 3t)j + kInitial Condition: r(0) = 2j + (ln 8)k

A. r(t) = ti + j + ln(t + 8)k
B. r(t) = i + j + (ln 8)k
C. r(t) = ti + j + (ln 8)k
D. r(t) = ti + j + (ln t)k

Mathematics

Find the gross earnings. Use the overtime premium method. Overtime is paid at time-and-a-half for all hours over 40.

A. $411.03 B. $380.95 C. $409.03 D. $571.43

Mathematics