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Get Full Access to Calculus: Early Transcendental Functions - 6 Edition - Chapter 15.2 - Problem 7
Get Full Access to Calculus: Early Transcendental Functions - 6 Edition - Chapter 15.2 - Problem 7

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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 ISBN: 9781285774770 141 ## Solution for problem 7 Chapter 15.2 Calculus: Early Transcendental Functions | 6th Edition • Textbook Solutions • 2901 Step-by-step solutions solved by professors and subject experts • Get 24/7 help from StudySoup virtual teaching assistants Calculus: Early Transcendental Functions | 6th Edition 4 5 1 319 Reviews 26 2 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

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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