Continuous Function - Calculus I - Exam, Exams for Calculus I. Birla Institute of Technology and Science

Calculus I

Description: Continuous Function, Differentiable Function, Intermediate Value Theorem, Find Following Limits, Equation for Tangent Line, Position of Vehicle, Acceleration of Vehicle, Concave Downwards are some points from this exam paper of Calculus I.
Showing pages  1  -  2  of  5
MA 125-5B, Spring 2004
TEST # 1
February 6, 2004 (70 minutes)
Name: SSN:
Max. Points: 100 + 5 Bonus Points: Test Grade:
Turn in all the work which you did to solve the problems, not just the final answer.
In particular, include intermediate steps in calculations wherever they are needed.
You may write on the back of a page if you need extra space.
To receive credit, all solutions have to be based on the methods from Chapter 2 of
Stewart’s book.
No book, no notes, and no calculator are to be used!
1. (a) Define what it means that a function fis continuous at a number a. (3P)
(b) Define what it means that a function fis differentiable at a number a. (3P)
2. State the intermediate value theorem. (6P)
3. Find the following limits: (4P+4P+4P+4P)
(a) lim
x+ 2
(b) lim
cos x
(c) lim
(d) lim
4. From the graph of fprovided on the right find all numbers asuch that (3P+3P+3P+3P)
(a) lim
xa+f(x) does not exist
(b) lim
f(x) does not exist
(c) fis not continuous at a
(d) fis not differentiable at a
The preview of this document ends here! Please or to read the full document or to download it.
Document information
Embed this document:
Docsity is not optimized for the browser you're using. In order to have a better experience please switch to Google Chrome, Firefox, Internet Explorer 9+ or Safari! Download Google Chrome