Math 220 Quiz 7 (Take-Home) - Spring 2011 - Prof. Robert F. Murphy, Quizzes of Calculus

A take-home math quiz for math 220 students in spring 2011. The quiz consists of four problems, each worth a specific number of points. Students are allowed to work with their classmates but must write up solutions independently. They may use their notes and the textbook but are not allowed to use calculators or computers. The quiz covers various topics such as differentiation and tangent lines.

Typology: Quizzes

2010/2011

Uploaded on 06/22/2011

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Math 220 Quiz 7 (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 Monday, March 7 (Merit sections) or Tuesday, March 8 (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 Tuesday.
1. (2 points) Given that w=t2+ 3sin t, find a formula for dw
dt . Your formula must be written
in terms of t.
pf3
pf4

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Math 220 Quiz 7 (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 Monday, March 7 (Merit sections) or Tuesday, March 8 (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 Tuesday.
  1. (2 points) Given that w =

( t^2 + 3

)sin t , find a formula for

dw dt

. Your formula must be written in terms of t.

  1. (3 points) Given that y = tan−^1 (xy), find a formula for

dy dx

. Your formula may be written in terms of x, y, or both variables.

  1. (3 points) The graph of a function y = f (x) has the property that the slope of the tangent line at each point on this graph is equal to one half its y-coordinate. If the graph goes through the point

( 6 , e^5

) , then find a formula for f (x).