Quiz 8 Math 220 - Spring 2011 - Prof. Robert F. Murphy, Quizzes of Calculus

A take-home quiz for math 220 students in the spring 2011 semester. The quiz consists of three problems, including finding critical numbers, completing sentences about a function, and calculating the rate at which the camera's angle of elevation is increasing. Students are allowed to work with classmates but must write up solutions independently, and are not allowed to use calculators or computers.

Typology: Quizzes

2010/2011

Uploaded on 06/22/2011

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Math 220 Quiz 8 (take-home) Spring 2011
Name
You may work with other students in this class. However each student should write up
solutions separately and independently nobody should copy someone else’s work.
You may use your notes or the textbook.
No calculators or computers are allowed on any problem.
You must show sufficient work to justify each answer.
The quiz should be turned in to your TA at the beginning of your discussion section meeting
on Wednesday, March 9 (Merit sections) or Thursday, March 10 (other sections).
Be sure that the pages are nicely stapled do not just fold the corners.
Note to TA’s you should not help students with these specific problems or go over solutions
until after 4pm Thursday.
1. (3 points) A function f(x) has the following first derivative.
f0(x)=3exx297x2+ 256(2x20)8
(a) Find each critical number of the function f(x).
(b) Find the x-value for each local maximum value of f(x).
(c) Find the x-value for each local minimum value of f(x).
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Math 220 Quiz 8 (take-home) Spring 2011

Name

  • You may work with other students in this class. However each student should write up solutions separately and independently – nobody should copy someone else’s work.
  • You may use your notes or the textbook.
  • No calculators or computers are allowed on any problem.
  • You must show sufficient work to justify each answer.
  • The quiz should be turned in to your TA at the beginning of your discussion section meeting on Wednesday, March 9 (Merit sections) or Thursday, March 10 (other sections).
  • Be sure that the pages are nicely stapled – do not just fold the corners.
  • Note to TA’s – you should not help students with these specific problems or go over solutions until after 4pm Thursday.
  1. (3 points) A function f (x) has the following first derivative.

f ′(x) = 3ex^

( x^2 − 9

) 7 ( x^2 + 25

) 6 (2x − 20)^8

(a) Find each critical number of the function f (x).

(b) Find the x-value for each local maximum value of f (x).

(c) Find the x-value for each local minimum value of f (x).

  1. (4 points) Complete the sentences concerning the function f (x) = 8 + 5xe−^3 x.

(a) The function f is decreasing on the interval.

(b) The function f is increasing on the interval.

(c) The function f is concave down on the interval.

(d) The function f is concave up on the interval.