Use reduction formulas to evaluate the integral.

A. 9 ln -  sin x + C
B. 9 ln +  cos2 x + C
C. 9 ln -  cos2 x + C
D. 9 ln + 9 sin x + C


Answer: B

Mathematics

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Solve the problem.Find the mass of the piece of thin metal in the shape of the surface the tetrahedron with vertices (0, 0, 0), (1, 0, 0), (0, 3, 0) and (0, 0, 2), ?(x, y, z) = 2x + 4z.

A. 12
B.
C. 26
D. 20

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Solve the equation for x and y.3x + yj = 7 - 11j

A. x = , y = -11
B. x = 3, y = -11
C. x = , y = -11
D. x = 7, y = -11

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Solve the problem. Assume projectile is ideal, launch angle is measured from the horizontal, and launch is over a horizontal surface, unless stated otherwise.A projectile is fired at a speed of 680 m/sec at an angle of 51°. How long will it take to get 17 km downrange? Round answer to the nearest second.

A. 40 sec B. It will never get that far downrange. C. 38 sec D. 42 sec

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Solve the problem.In a school survey, students showed these preferences for instructional materials. About how many students would you expect to prefer computers in a school of 700 students?

A. About 126 students B. About 36 students C. About 252 students D. About 140 students

Mathematics