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?In Exercises 7 - 10, evaluate the line integral along the given path. \(\int_{C} x y d s\) \(C: \mathbf{r}(t)=4 t \mathbf{i}+3 t \ma

Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson ISBN: 9781285774770 141

Solution for problem 7 Chapter 15.2

Calculus: Early Transcendental Functions | 6th Edition

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Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson

Calculus: Early Transcendental Functions | 6th Edition

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Problem 7

In Exercises 7 - 10, evaluate the line integral along the given path.

\(\int_{C} x y d s\)

\(C: \mathbf{r}(t)=4 t \mathbf{i}+3 t \mathbf{j}\)

\(0 \leq t \leq 1\)

Text Transcription:

int_{C} xy ds

C: r(t) = 4ti + 3tj

0 leq t leq 1

Step-by-Step Solution:

Step 1 of 5) Examples 4 and 5 illustrate an important point about limits of functions of two or more variables. For a limit to exist at a point, the limit must be the same along every approach path.

Step 2 of 2

Chapter 15.2, Problem 7 is Solved
Textbook: Calculus: Early Transcendental Functions
Edition: 6
Author: Ron Larson
ISBN: 9781285774770

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?In Exercises 7 - 10, evaluate the line integral along the given path. \(\int_{C} x y d s\) \(C: \mathbf{r}(t)=4 t \mathbf{i}+3 t \ma