This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: MAC 2311 November 21, 2005 Exam III Prof. S. Hudson 1) (15 pts) Use the info in these number lines [which were a bit clearer on the real exam] to describe the intervals of inc/dec and concavity for the function f ( x ) = e x 2 / 2 + + + + + + + + + + + + (0)             f + + + + + + ( 1)      (+1) + + + + + + f 00 2) (15 pts) Analyze and graph y = x 4 + 2 x 3 1. Plot and label any critical points and inflection points. 3) (10pts) Use both the First and Second Derivative Tests to show that 3 x 2 6 x + 1 has a relative minimum at x = 1. 4) (15pts) Compute the limits: a) lim x → π sin( x ) π x b) lim x → csc( x ) 1 /x c) lim x →∞ (1 3 /x ) x 5) (15 pts) Mark each sentence True or False; sec( x ) has a maximum value on the interval ( π/ 2 , π/ 2). sec( x ) has a maximum value on the interval ( π/ 2 , 3 π/ 2). If c is a critical point of f , then f has a relative extrema at c ....
View
Full
Document
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

Click to edit the document details