The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds.s = - t3 + 4t2 - 4t, 0 ? t ? 4Find the body's displacement and average velocity for the given time interval.

A. 112 m, 28 m/sec
B. 16 m, 4 m/sec
C. -16 m, -8 m/sec
D. -16 m, -4 m/sec


Answer: D

Mathematics

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Replace the Cartesian equation with an equivalent polar equation. (x - 20)2  + (y + 3)2 = 400

A. r2 = 40r sin ? - 6r cos ? - 9 B. r2 = 40r cos ? - 6r sin ? - 9 C. r = 40 cos ? - 6 sin ? - 9 D. r2 = -20r cos ? + 3r sin ? + 400

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Solve the problem.Determine whether the ordered triple  is a solution of the system of equations.3x - 2y + 3z = 17 x + 4y - 2z = -82x - y + z = 8

A. Yes B. No

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Solve the logarithmic equation. Give an exact answer.log(3x) = log 4 + log(x - 3)

A. {12}
B. {-12}
C.
D.

Mathematics

Solve the problem. Round answer to the nearest tenth, if appropriate.An uncovered box is to be made from a rectangular piece of tin by cutting 2-in. squares out of the corners and folding up the sides. The volume of the box will be 100 in.3. Find the dimensions of the rectangular piece of tin.

A. 5 in. by 9 in. B. 5 in. by 10 in. C. 4 in. by 9 in. D. Not enough information

Mathematics