A2_Winter2016.pdf

A2_Winter2016.pdf - DISTANCE EDUCATION MATH 1500 WINTER...

• 3

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

DISTANCE EDUCATION MATH 1500 WINTER TERM 2016: D01/D02 Assignment 2 Sections 2.5, 2.6, 2.7, 2.8, 3.1, 3.2. Total Marks: 60 Due Date: Feb 6, 2016 . SHOW ALL WORK to get full marks. Leave answers as exact answers. For example, leave it as 1 7 as opposed to 0.142857. Word problems should be concluded with a sentence and include units. When calculating a derivative, use the definition of derivative ONLY for Q5. 1

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

1. [7] Use limits to calculate a and b such that the following function is continuous for all real numbers x. f p x q “ \$ & % sin ˆ 3 π 2 x ˙ ` ax ` b x ă ´ 1 3 x “ ´ 1 p a ` b q x 2 ` cos p x ` 1 q x ą ´ 1 2. [4] Show that ln p x ` 2 q “ e 2 x 2 ´ 4 x has a solution on the interval 1 , 0 q . [Note: ln p 2 q « . 6931]. Justify your answer. 3. Evaluate the following limits: (a) [4] lim x Ñ´8 ˆ e x 2 ` 2 ´ x 2 ´ x 3 x 3 ` 7 ˙ . (b) [4] lim x Ñ8 ? 16 x 2 ´ x x ´ 1 . (c) [5] lim x Ñ´8 ` x 3 ` ? x 6 ` x 3 ˘ . 4. [6] Use limits to determine all horizontal and vertical asymptotes for the function y f p x q “ ? 4 x 4 ´ 1 x 2 ` x ´ 6 . 5. [7] Use the definition of the derivative to calculate the derivative of the function
This is the end of the preview. Sign up to access the rest of the document.
• Fall '10

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern