e309k - MAC 2311 AM April 3 2009 Exam III and Key Prof S...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: MAC 2311 AM April 3, 2009 Exam III and Key Prof. S. Hudson 1) [30 pts] Compute the derivative, y a) y = sin- 1 ( x 2 ) b) y = (sin( x )) x c) sin( xy ) = y 2) [10 pts] A farmer has 200 yd of fence with which to construct 3 sides of a rectangular pen. An existing long, straight wall will be the fourth side (you can ask about a picture). What dimensions will maximize the area of the pen? 3) [10pts] Graph f ( x ) = xe x including any stationary points, inflection points or asymptotes. You can use this: lim x →-∞ xe x = 0. You can use e ≈ 3 and e 2 ≈ 7 to plot points (for example instead of (1 ,e ), you can plot (1 , 3)). 4) [10 pts] Find the maximum and minimum values of f ( x ) = x 3- 3 x 2- 9 x + 5 on [- 2 , 4]. 5) [10 pts] Compute the limit lim x → tan- 1 (2 x ) 3 x 6) [20 pts] Answer True or False. You do not have to explain. An absolute maximum must be a relative maximum. If f ( x ) > g ( x ) on (1 , 4), then f (3)- f (2) > g (3)- g (2)....
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.

Page1 / 2

e309k - MAC 2311 AM April 3 2009 Exam III and Key Prof S...

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