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MATH 2E Quiz 2: Conservative Vector Fields and Work Calculation, Quizzes of Calculus

University of California - IrvineCalculus

A math quiz focused on conservative vector fields and the calculation of work. The quiz includes two questions: the first asks for an example of a conservative vector field and its verification, while the second asks to compute the work needed to move a particle along a given curve using the provided force field. The quiz is closed-book and no calculators are allowed.

Typology: Quizzes

Pre 2010

Uploaded on 09/17/2009

koofers-user-9qe
koofers-user-9qe 🇺🇸

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MATH 2E QUIZ 2 Name:
Thursday 10/6/2005
Closed book, no calculator
1. Give an example of a conservative vector field and show that it is indeed conser-
vative.
2. Given the force field
−→
F(x, y) = (xsin y, y ). Compute the work needed to move
a particle from the point (−1,1) to (2,4) along the curve y=x2.
Document URL: http://math.uci.edu/~pmacklin/Math2Efall2005.html
Date: October 5, 2005 Page 1 of 1

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MATH 2E QUIZ 2 Name:

Thursday 10/6/ Closed book, no calculator

  1. Give an example of a conservative vector field and show that it is indeed conser- vative.
  2. Given the force field

F (x, y) = (x sin y, y). Compute the work needed to move a particle from the point (− 1 , 1) to (2, 4) along the curve y = x^2.

Document URL: http://math.uci.edu/~pmacklin/Math2Efall2005.html Date: October 5, 2005 Page 1 of 1