Evaluate the integral.  

A.  - 3 sec -1   + C
B. ln  -  + C
C. ln  -  + C
D.  - 3 sec -1   + C


Answer: A

Mathematics

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Use the Trapezoidal Rule with n = 4 steps to estimate the integral.

A. -  ?
B. -(1 + ) ?
C. -  ?
D. -  ?

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Solve by the substitution method.x - 4y = 26-4x - 5y = 43

A. (2, -6) B. (26, 43) C. (-3, -6) D. (-2, -7)

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Determine a window that will provide a comprehensive graph of the polynomial function.y = 3x3 - 26x2 + 18x - 47

A. [-10, 10] by [-150, 150] B. [-8, 10] by [-100, 300] C. [-5, 5] by [-500, 100] D. [-3, 10] by [-400, 100]

Mathematics

Solve the problem.An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 900 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?

A. 9 P1 planes and 13 P2 planes B. 9 P1 planes and 12 P2 planes C. 14 P1 planes and 7 P2 planes D. 5 P1 planes and 22 P2 planes

Mathematics