MATH 140 MIDTERM EXAM January, 2018 Instructor: I. Izmirli

NAME: _______________________________

I have completed this assignment myself, working independently and not consulting anyone except for the

instructor.

INSTRUCTIONS

 The exam is worth 100 points. There are 20 problems.

 Each problem is worth 5 points

 This exam is open book and open notes. This means that you may refer to your textbook, notes, and online classroom materials, but you must work independently and may not consult anyone (and confirm this with

your submission). You may take as much time as you wish, provided you turn in your exam no later than this

Sunday.

 Show work/explanation. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the exam, or if you prefer, create a document containing your work. Scanned work is

acceptable also. In your document, be sure to include your name and the assertion of independence of

work.

 General exam tips and instructions for submitting work are posted in the Quizzes module.

 If you have any questions, please contact me by e-mail.

1. Let

() = 1

√3 + 4

Find the average rate of change from = 3 to = 6.

2. Let

() = 33 − 92 + 18 − 10

Find the slope of the fine joining the points (1, (1)) and (1 + ℎ, (1 + ℎ))

3. If

() = 4

3 − 2

determine the difference quotient

( + ℎ) − ()

ℎ

4. Compute

lim →4

( 33 − 72 + 5

23 − 10 − 86 )

5. Compute

lim →3

( 2 − 9

4 − 81 )

6. Compute

lim →−2

( + 5

2 + 4 )

7. Compute

lim →−3

√64 + 112 − 189 4

8. Let

() = { 2 − 2 + 3 ≤ 1 4 − 1 > 1

Is continuous at = 1?

9. Let

() = 22 − 3 + 7

when ≠ 2, and let (2) = 9. Is continuous at = 2?

10. Is the function

ℎ() = |23 − 3 + 7| − 4 + 5

continuous? Why?

For problems 11 – 20, use the appropriate differentiation formulas to find the derivative.

11.

() = 45 − 34 + 42 − 5 + 7

12.

() = √ − √ 3

13.

() = (43 − 22 + 7 − 1)(122 − 5 + 6)

14.

() = (2 + 1)(√ − + 1)

15.

ℎ() = 14 − 7

2 + 3

16.

ℎ() = 3 + 4 + 1

3 − 4 + 1

17.

() = (2 + 3 + 7)( − 1)

4 − 3 + 6

18.

() = (2 + 7 + 11)2

19.

() = ( + 3)2

( + 5)2

20.

() = (√ + )(√ − )