Simplify ?28.
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Find the center of mass of the wire that lies along the curve r and has density ?.r(t) = (2 cos 3t)i +(2 sin 3t) j + 6tk, 0 ? t ? 2?; ?(x, y, z) = 2(1 + sin 3t cos 3t)
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Factor completely.18x2 - 78x - 60
A. (3x + 2)(6x - 30) B. 6(3x - 2)(x + 5) C. 6(3x + 2)(x - 5) D. (18x + 12)(x - 5)
Solve the problem.When 40% of a number is added to the number, the result is 168. What is the number?
A. 140 B. 29 C. 120 D. 48
Solve the problem. Give the answer to the nearest tenth.The position of an object moving in a straight line is given by s = t2 - 8t, where s is in feet and t is the time in seconds the object has been in motion. How long (to the nearest tenth) will it take the object to move 18 feet?
A. 9.6 sec B. 9.8 sec C. 18.0 sec D. 19.0 sec