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

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 4

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online