Q. 10 Write the first alternative form... [FREE SOLUTION]

Chapter 14: Q. 10 (page 1106)

Write the first alternative form of ${鈭�}_{C} G (x, y, z) 路 d r for G (x, y, z) and C_{2}$ from Example 3. (This alternative form is described immediately after Definition 14.4 and is used in Exercises 5鈥�8.)

Short Answer

Expert verified

The alternative form of ${鈭�}_{C} G (x, y, z) 路 d r is {鈭�}_{C} e^{y} dx + x e^{z} dy + y^{2} dz$

Step by step solution

Step 1. Given Information

Write the first alternative form of ${鈭�}_{C} G (x, y, z) 路 d r for G (x, y, z) and C_{2}$ from Example 3. (This alternative form is described immediately after Definition 14.4 and is used in Exercises 5鈥�8.)

Step 3. From the example 3 F(x,y,z)=(ey, xez,y2)

Now writing the alternative form of ${鈭�}_{C} G (x, y, z) 路 d r$

${鈭�}_{C} G (x, y, z) 路 d r = {鈭�}_{C} e^{y} dx + x e^{z} dy + y^{2} dz$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Write the first alternative form of ${鈭�}_{C} G (x, y, z) 路 d r for G (x, y, z) and C_{2}$ from Example 3. (This alternative form is described immediately after Definition 14.4 and is used in Exercises 5鈥�8.)

Short Answer

Step by step solution

Step 1. Given Information

Step 3. From the example 3 F(x,y,z)=(ey, xez,y2)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Theoretical and Mathematical Physics

Pure Maths

Mechanics Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

91影视

Write the first alternative form of 鈭�CG(x,y,z)路drforG(x,y,z)andC2 from Example 3. (This alternative form is described immediately after Definition 14.4 and is used in Exercises 5鈥�8.)

Short Answer

Step by step solution

Step 1. Given Information

Step 3. From the example 3 F(x,y,z)=(ey, xez,y2)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Theoretical and Mathematical Physics

Pure Maths

Mechanics Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Write the first alternative form of ${鈭�}_{C} G (x, y, z) 路 d r for G (x, y, z) and C_{2}$ from Example 3. (This alternative form is described immediately after Definition 14.4 and is used in Exercises 5鈥�8.)