MATH 222 Midterm: MATH 222 KSU Test 1s01

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To receive credit you must show your work. (25) 1. An object is moving in the plane according to the parametric equations t2, y = t3 where t is the time. An object is moving in 3-space in such a way that its acceleration vector as a function of time is ~a = ~j + (cos t)~k. An object is moving in the plane along the curve y = right. It is moving at a constant speed of 3 ft/sec: find at and an when the object is at (cid:18)x, 2 x2, from left to: find the velocity vector and the acceleration vector when the object is at the point (cid:18)1, Given the vectors ~a = ~i + ~j ~k, ~b = ~i + 2~j + 5~k, ~c = ~i + ~k: calculate the volume of the parallelepiped which is determined by the vectors.

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