1007Test4_09

# 1007Test4_09 - Test 4 Wednesday MATH 1007 G Last Name ID...

This preview shows pages 1–3. Sign up to view the full content.

Test 4, Wednesday,March 18, 2009 MATH 1007 G Page 1 of 4 Last Name :_________________ First Name:_______________ ID #:____________________ No Calculators are allowed. Show your work Question 1. [5 marks] Use L’Hospital’s rule to evaluate the following limits. For each application, explain why the rule applies. (a) lim x x e x x - - 0 4 2 1 4 (b) lim x x x e →∞ - 3 2 Question 2. [4 marks] Find the absolute maximum and absolute minimum value of f x x x ( ) = + 2 1 on the interval [0,3].

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

View Full Document
Test 4, Wednesday,March 18, 2009 MATH 1007 G Page 2 of 4 Question 3. [4 marks] Let f be a continuous function with the following properties. a) Domain is ( , ) - ∞ ∞ b) x,y intercepts are (0,0). c) f is an odd function. d) lim ( ) x f x →∞ = - 2 e) f x ' ( ) < 0 for 0<x<2, f x ' ( ) 0 for x>2. f) f x '' ( ) 0 for 0<x<3, f x ''( ) < 0 for x>3. Use this information to sketch the graph when x>0 and then use the fact that f is odd to sketch the graph when x<0. Question 4. [3 marks]
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 03/22/2010 for the course MATH 1007 taught by Professor Unknown during the Fall '07 term at Carleton.

### Page1 / 4

1007Test4_09 - Test 4 Wednesday MATH 1007 G Last Name ID...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online