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Unformatted text preview: MAC 2311 AM April 24, 2009 Final Exam Prof. S. Hudson 1) (10 pts) Compute y ; a) y = (2 x ) x b) y = log 3 (2 x + 1) 2) (10 pts) Solve this Initial Value Problem: y ( t ) = e t + t and y (0) = 2. 3) (25 pts) Compute and simplify; R e 2 x dx = R t 1+16 t 2 dt = R 1 2 t 3 t 3 dt = R cos 2 ( x ) dx = R tan 2 ( x ) dx = 4a) (10 pts) Find the slope of the tangent line to the curve, x = t , y = 2 t +1 at t = 1. For maximum credit, use the chain rule as done in class. 4b) (5 pts) For the same curve as above, find d 2 y/dx 2 when t = 1. 5) (10 pts) Sketch a graph of y = x 2 1 x 3 . Find all critical points, inflection points and asymptotes [and label them clearly]. You may use: y = 3 x 2 x 4 y 00 = 2( x 2 6) x 5 3 1 . 8 6 2 . 4 1 . 8 3 . 18 2 . 4 3 . 07 1 6) (20 pts) Answer TRUE or FALSE: f ( x ) = ln  x  is an increasing function. A rational function is continuous except where the denominator is zero....
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This note was uploaded on 05/28/2011 for the course MAC 2311 taught by Professor Staff during the Spring '08 term at FIU.
 Spring '08
 STAFF
 Calculus

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