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3. A spaceship departs from (0, 0, 0) with an initial velocity of (0, 0, 1) traveling through space with acceleration given by a(t) =

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3. A spaceship departs from (0, 0, 0) with an initial velocity of (0, 0, 1) traveling through space with acceleration given by a(t) = (2, -b/(t + 1)2, et), where b is a constant real number. What is the value of b that allows the spaceship to arrive at the space station located at (100, - In(11) - 5, e10 - 1) at time t = 10? A. 1/2 B. -1/2 C. 2 D. -1 E. -24. Find the following limit, or determine that the limit does not exist. x2 + xy lim (2, y) -(0,0) 2x A. The limit does not exist since different approaches towards (0, 0) yield different limit values. B. The limit does not exist since it would yield 8. C. 0 D. 1 E. 3/2

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