Given that the x- and y-coordinates of a moving particle are given by the indicated parametric equations, find the magnitude and direction of the velocity for the specific value of t.x = , y = 9t2 + 1, t = 4

A. 72.00, 89.7°
B. 72.00, 359.7°
C. 9.01, 359.7°
D. 9.01, 89.7°


Answer: A

Mathematics

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Find an antiderivative of the given function.f(x) = x-6 + 

A. -  + x1/2
B. -  + x1/2
C. -  + x1/2
D. -  + x1/2

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Solve the problem.A swimming pool has a rectangular base 11 ft long and 22 ft wide. The sides are 6 ft high, and the pool is half full of water. How much work will it take to empty the pool by pumping the water out over the top of the pool? Assume that the water weighs 62.4 lb/ft3. Give your answer to the nearest ft ? lb.

A. 101,930 ft ? lb B. 271,814 ft ? lb C. 135,907 ft ? lb D. 203,861 ft ? lb

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Solve the inequality. Graph the solution set and write it in interval notation.2x - 2 < 3(x - 3)

A. (-11, ?)

B. (7, ?)

C. (-?, 11)

D. (-?, -7)

Mathematics

Solve the system of equations.

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

Mathematics