e303k

# e303k - MAC 2311 Exam 3 Prof S Hudson Name Show all your...

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July 31, 2003 Exam 3 Prof. S. Hudson Name Show all your work and reasoning for maximum credit. Do not use a calculator, book, or any personal paper. You may ask about any ambiguous questions or for extra paper. Hand in any extra paper you use along with your exam. 1) (15 pts) Find and classify the critical points (as relative max or min or neither). Follow the directions (do not rely on a graph) and show your work. a) f ( x ) = 2 x 3 - 3 x 2 - 36 x + 7, using the ﬁrst deriv test. b) f ( x ) = sin( x ) on (0 , 2 π ), using the second deriv test. c) f ( x ) = xe - x , using the second deriv test. 2) (15 pts) Mark each sentence True or False; If f 00 (4) = 0 then 4 is an inﬂection point of f . ln ( x ) has a maximum value on the interval (1 , 2). If f is continuous on [ a, b ] it must have a minimum value there. A rational function can have 4 horizontal asymptotes. If a polynomial f has 3 diﬀerent roots, it must have at least 2 critical points. 1

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e303k - MAC 2311 Exam 3 Prof S Hudson Name Show all your...

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