CALCULUS LL UPGRADE CUSTOM
CALCULUS LL UPGRADE CUSTOM
11th Edition
ISBN: 9780357001349
Author: Larson
Publisher: CENGAGE C
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Chapter 15.2, Problem 47E

Evaluating a Line Integral of a Vector Field In Exercises 47 and 48, evaluate ∫ C F · d r for each curve. Discuss the orientation of the curve and its effect on the value of the integral.

F ( x , y ) = x 2 i + x y j

(a) C 1 : r 1 ( t ) = 2 t i + ( t − 1 ) j,         1 ≤ t ≤ 3

(b) C 2 : r 2 ( t ) = 2 ( 3 − t ) i   +   ( 2 − t ) j ,         0 ≤ t ≤ 2

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Chapter 15 Solutions

CALCULUS LL UPGRADE CUSTOM

Ch. 15.1 - Vector Field Define a vector field in the plane...Ch. 15.1 - CONCEPT CHECK Conservative Vector Field What is a...Ch. 15.1 - Potential Function Describe how to find a...Ch. 15.1 - CONCEPT CHECK Vector Field A vector field in space...Ch. 15.1 - Matching In Exercise 5-8, match the vector field...Ch. 15.1 - Matching In Exercise 5-8, match the vector field...Ch. 15.1 - Matching In Exercise 5-8, match the vector field...Ch. 15.1 - Matching In Exercise 5-8, match the vector field...Ch. 15.1 - Sketching a Vector Field In Exercises 914, find F...Ch. 15.1 - Sketching a Vector Field In Exercises 914, find F...
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Prob. 83ECh. 15.2 - HOW DO YOU SEE IT? 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