MATH 191, Sections 1 and 3
Calculus I
Fall 2007
Final Exam
This final exam is worth a total of 100 points, and point values for each question are given below.
Answer every question fully and clearly. Please show
all
of your work where appropriate, and circle or
box your final answer.
Note that because this is a takehome exam, I will grade these exams with a
higher expectation of clarity
.
You may use your textbooks and your notes, but you may
not
receive help from any other person (whether
student or faculty), except from
me
. I will be happy to clarify questions or let you know whether a given
solution is right or wrong, but I promise not to be too helpful.
This exam is due at 5:00 p.m. on
Friday, December 7th
. Late exams will not be accepted. Please
turn in this sheet with your exam.
Please let me know if you have any questions!
1. (14 points)
Your friend is having trouble understanding the difference between the Intermediate
Value Theorem and the Mean Value Theorem. To help her out, you draw “picture proofs” of each
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 Fall '07
 BAHLS
 Calculus, Mean Value Theorem, Continuous function

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