Quiz 3 - Math XXXXXXXXXX)
Instructions:
• The quiz is worth 100 points. There are 10 problems, each worth 10 points. Your score
on the quiz will be converted to a percentage and posted in your assignment folder with
comments.
• This quiz is open book and open notes, and you may take as long as you like on it
provided that you submit the quiz no later than the due date posted in our course
schedule of the syllabus. You may refer to your textbook, notes, and online classroom
materials, but you may not consult anyone.
• You must show all of your work to receive full credit. If a problem does not seem to
equire work, write a sentence or two to justify your answer.
• Please write neatly. Illegible answers will be assumed to be inco
ect.
• Please remember to show ALL of your work on every problem. Read the basic rules fo
showing work below BEFORE you start working on the quiz:
1. Each step should show the complete expression or equation rather than a piece of
it.
2. Each new step should follow logically from the previous step, following rules of
alge
a.
3. Each new step should be beneath the previous step.
4. The equal sign, =, should only connect equal numbers or expressions.
• This quiz is due at 11:59 PM (Eastern Time) on Tuesday, November 15.
***********************
At the end of your quiz you must include the following dated statement with
your name typed in lieu of a signature. Without this signed statement you will
eceive a zero.
I have completed this quiz myself, working independently and not consulting anyone except
the instructor. I have neither given nor received help on this quiz.
Name: Date:
1
Quiz 3 - Inverse Functions
1. Chapter 7-0, Problem 12.
2. Chapter 7-1, Problem 6.
3. Chapter 7-1, Problem 18.
4. Chapter 7-2, Problem 18.
5. Chapter 7-2, Problem 34.
6. Chapter 7-2, Problem 54.
7. Chapter 7-3, Problem 20.
8. Suppose f is a one-to-one and (twice) differentiable function. Let g be the inverse of f .
Find an expression for g′′(x) in terms of derivatives of f .
9. Let f(x) = 3 + x2 + tan
(πx
2
)
, where −1 < x < 1. Find (f−1)′(3).
10. Let f(x) =
∫ x
3
√
1 + t3 dt. Find (f−1)′(0).
2