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Math Quiz 6 for Math 220 (Fall 2011) - Prof. Robert F. Murphy, Quizzes of Calculus

University of Illinois - Urbana-ChampaignCalculus
Prof. Robert F. Murphy

A math quiz for math 220 (section unknown) from the fall 2011 semester. The quiz consists of three questions: finding the slope of the tangent line to an ellipse, computing the derivative of a function, and finding the partial derivative dy/dx of a given function. No calculators are allowed and sufficient work must be shown for each answer. The quiz must be completed within 15 minutes.

Typology: Quizzes

2010/2011

Uploaded on 10/13/2011

koofers-user-lh9
koofers-user-lh9 🇺🇸

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Math 220 (section ???) Quiz 6 Fall 2011
Name
•No calculators allowed.
•Show sufficient work to justify each answer.
•You have 15 minutes for this quiz.
1. (4 points) Find the slope of the line tangent to the graph of the ellipse
x2
25 +y2
3= 1
at the point 5
2,3
2.
pf2

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Math 220 (section ???) Quiz 6 Fall 2011

Name

  • No calculators allowed.
  • Show sufficient work to justify each answer.
  • You have 15 minutes for this quiz.
  1. (4 points) Find the slope of the line tangent to the graph of the ellipse

x^2

25

y^2

3

at the point

5 2 ,^

3 2

  1. (2 points) Compute g′(t) given that g(t) = sin

− 1 (5t).

  1. (4 points) Compute

dy

dx

given that ln

x

2 y

3 )^

= x

3

  • y

5 .