Unformatted text preview: s ( t ) = 160 t16 t 2 feet after t seconds. (a) [8 pts. ] Find the time when the rocket smashes into the ground. (b) [8 pts. ] Find the velocity of the rocket at time t. (c) [8 pts. ] Find the velocity of the rocket 2 seconds after the launch. (d) [8 pts. ] Find the acceleration of the rocket at time t. 5. [8 pts. ] Diﬀerentiate y = ( x 3 + 3 x + 6) 5 ( x 2 + 2) 4 with respect to x . 6. Given the function y = √ x 2 + 3 (a) [9 pts. ] Use the limit deﬁnition of the derivative to ﬁnd dy dx . (b) [9 pts. ] Use the Power Rule combined with the Chain Rule to ﬁnd the derivative with respect to x . 7. [8 pts. ] Given that h (2) = 2 and h (2) = 3, evaluate the derivative of f ( x ) = h ( x ) + 4 x + 2 with respect to x when x = 2. Bonus : [2 pts. ] Simplify cos ( arcsin ( 1 3 ))....
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 Spring '10
 AmandaSmith
 Calculus, Derivative, pts, blue book, North Carolina State, limit deﬁnition

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