MATH 230 University of Regina Calculus Problems

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Mathematics

Math 230

University of Regina

MATH

Question Description

Let F(x,y) = (2xyz)i + (3y 2 + x 2 z)j + (x 2 y)k

(i) Determine whether F is a conservative vector field.

(ii) Evaluate the line integral

R

C

F · dr where C is given by

C : r(t) = (1 + t)i + t 2 j + (2 − t)k, 0 ≤ t ≤ 6

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Let F(x,y) = (2xyz)i + (3y 2 + x 2 z)j + (x 2 y)k 

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Let F(x, y) = (2.cyz)i + (3y2 + x2z)j + (zºy)k (i) Determine whether F is a conservative vector field. (ii) Evaluate the line integral ScF. dr where C is given by C: r(t) = (1+t)i + t?j + (2 – t)k, 0
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glad I could ...

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Cornell University

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