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Unformatted text preview: 5. Find a function f ( x ) such that f ( x ) = 2 e x5 x and f (0) = 0. How many such functions are there? 6. A mass oscillates on a spring. Initially, it is released from rest and the length of the spring is 5cm. After t seconds, the acceleration of the mass is2 cos( t ) What is the length of the spring after t seconds? 7. Find all continuous function g ( x ) whose derivative g ( x ) satisﬁes g ( x ) = (1 if x < 1 if x > . Can such a function be diﬀerentiable at 0? 2...
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 Fall '09
 BenedictGross
 Calculus, Antiderivatives, Derivative, Continuous function, Limit of a function, horizontal asymptote, MATH 1A

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