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Unformatted text preview: f is diﬀerentiable at x = 0 or not. 3. (15 marks) Consider the curve C deﬁned by the equation y 3x 2 y = 1. (a) Show that the point P (0 , 1) lies on C. (b) Find the equation of the tangent line to C at P . (c) Compute d 2 y dx 2 at P . 4. (15 marks) Let f ( x ) = 2 x 49 x + 1. (a) Show that f has exactly one root in the interval [0 , 1]. Carefully explain all your steps! (b) Show that f has exactly two (real) roots. Carefully explain all your steps!...
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This note was uploaded on 08/23/2008 for the course MATH 150 taught by Professor Hundemer during the Fall '04 term at McGill.
 Fall '04
 HUNDEMER
 Calculus, Limits

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