E3Review - Exam 3 Review MAC 2233 * This is intended to be...

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: Exam 3 Review MAC 2233 * This is intended to be a tool to help you review some of the material that could appear on the exam. It is not inclusive of all topics discussed in lecture. 1. Graph f ( x ) = ( x- 1) 1 3 ( x + 2) 2 3 . Note: f ( x ) = x ( x- 1) 2 3 ( x + 2) 1 3 and f 00 ( x ) =- 2 ( x- 1) 5 3 ( x + 2) 4 3 2. The graph of f ( x ) is given. Give a possible sketch of f ( x ) if f is known to be continuous. 3. Find the particular function E ( t ) = Ae- bt (where A and b are constants) with E-intercept 4 and such that E (1) = e . What is E(2) ? 4. Find the asymptotes of the function f ( x ) = 2 x 2- 8 6- x- x 2 ; evaluate lim x - 3 + f ( x ) . 5. Sketch the graph of f ( x ) = ln( x- 4) + 2 . Write its inverse function and evaluate lim x 4 + f ( x ) . 6. Find the domain and asymptotes for each of the following functions: f ( x ) = ln(2 x- x 2 ) g ( x ) = e x 2 e x- 4 h ( x ) = 4 1 + ln( x ) 7. Solve these equations for x : (a) ln(2 x- 5)- ln( x- 2) = 0 (b) 5(12- 2 x 2 ) = 20 8. If f ( x ) has horizontal tangent lines at x =- 2 , x = 1 , x = 5 , and if f 00 ( x ) has the following signs, find the relative extrema of f ( x ) ....
View Full Document

Page1 / 2

E3Review - Exam 3 Review MAC 2233 * This is intended to be...

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