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Unformatted text preview: 4 + sin 2 (3 x ) 5. If g ( x ) + x sin( g ( x )) = x 2 + π/ 2, Fnd g ′ (0) 6. Let f ( x ) = xcos( x ). Use the Intermediate Value Theoremn to show that f has a root in (0 , π/ 2), namely there exists a number c ∈ (0 , π/ 2) such that f ( c ) = 0. Note: Must show that all the conditions for the theorem are met. In case you forget, cos(0) = 1, cos( π/ 2) = 0...
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This note was uploaded on 10/25/2010 for the course MATH V63.0121 taught by Professor Staff during the Fall '08 term at NYU.
 Fall '08
 staff
 Calculus

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