practice test 3 1009

practice test 3 1009 - f is concave upward and concave...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Carleton University School of Mathematics and Statistics Math 1009 – Calculus – Practice Test #3 of 4 NAME: __________________________________ STUDENT NUMBER: __________________________ INSTRUCTIONS : There are TWO written questions. Each question outlines its own marking scheme. Please read each question carefully. For full marks, be sure to show all of your work and justify all of your steps . 1. Consider the function 1 1 ) ( + = x x x f . Answer the following questions. (A) ( 1 mark ) What is the domain of f ? (B) ( 3 marks ) Find the x – and y – intercepts of f .
Background image of page 1

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

View Full DocumentRight Arrow Icon
2 (C) ( 4 marks ) Find the vertical and horizontal asymptotes of f .
Background image of page 2
3 (D) ( 5 marks ) Determine the intervals of increase and decrease of f . Explain why f has no relative extrema.
Background image of page 3

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

View Full DocumentRight Arrow Icon
4 (E) ( 5 marks ) Determine the intervals where
Background image of page 4
Background image of page 5

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

View Full DocumentRight Arrow Icon
Background image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: f is concave upward and concave downward. Despite the fact that there is a value of x over which f changes concavity, explain why f does not have an inflection point. 5 (F) ( 4 marks ) Sketch the graph of f making use of your results from parts (A) through (E). Plot additional points as needed. 6 2. ( 4 marks ) The estimated monthly profit (in dollars) realizable by Cannon Precision Instruments for manufacturing and selling x units of its model M1 camera is , 10000 240 04 . ) ( 2 + = x x x x P . To maximize its profits, how many cameras should Cannon produce each month? Use the Second Derivative Test to verify that the value of x you obtain corresponds to the absolute maximum....
View Full Document

This note was uploaded on 11/01/2009 for the course MATH 1009 taught by Professor Dontknow during the Spring '08 term at Carleton CA.

Page1 / 6

practice test 3 1009 - f is concave upward and concave...

This preview shows document pages 1 - 6. Sign up to view the full document.

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