Question: In problem 1-2 show that the given line integral is independent of path (use Theorem C) and then evaluate the integral (either by choosing a

In problem 1-2 show that the given line integral is independent of path (use Theorem C) and then evaluate the integral (either by choosing a convenient part or, if you prefer, by finding a potential function f and applying Theorem A).
1.

43,1 1.2) e sin y dx ecos y dy J(00)

Step by Step Solution

★★★★★

3.27 Rating (173 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

1 M y 2y 2x N x So the integral is independent of the path f x y xy 2 x 2 y ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

955-M-C-D-E (3443).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Show that the line integral is independent of path and evaluate the integral.

Show that the line integral is independent of path and evaluate the integral. Se sin y dx + (x cos y sin y) dy, C is any path from (2, 0) to (1, 77)

Show that Is independent of path, and use this to calculate the integral on any path from (0, 0) to (1, 2)? y dx + 2xy dy

16.3 Homework - The Fundamental Theorem (Homework) 8. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 16.3.023. Consider F and C below. F(x, y, z) = yze*zi + e*zj + xye*zk, C: r(t) = (+2 + 4)i + (+2 -...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Set Student Name: 1. Describe the relationship between two variables that have a correlation coefficient value: a. Near -1 b. Near 0 c. Near 1 2. Data was collected where a weightlifter was asked to...

UNIVERISTY HELPP IN HERE NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2...

Instuctor's Annotated Edition TENTH EDITION Understandable Statistics Concepts and Methods Charles Henry Brase Regis University Corrinne Pellillo Brase Arapahoe Community College Australia Brazil...

Let r and s be solutions to the quadratic equation x 2 b x + c = 0. For n N, define d0 = 0 d1 = r s dn = b dn1 c dn2 (n 2) Prove that dn = r n s n for all n N. [4 marks] (b) Recall that a commutative...

Give Correct ANSWERS Human-Computer Interaction (a) If you had been one of the original inventors of the WIMP interface, and engineers on the technical team had been sceptical about the advantages...

Considering the discussion of market efficiency from Chapter 6, discuss whether you should be willing to pay high fees to mutual fund investment managers.

Select a health care organization in your community to conduct an interview with an appropriate risk management employee. Acute care, urgent care, large multi-provider private medical clinics,...

Given a change in market interest rates, which will change more: the market price of a bond with 2 0 years until maturity or the market price of a bond with 5 years until maturity? Assume all the...

A 5 percent sales tax on food is an example of a a. flat tax. b. progressive tax. c. proportional tax. d. regressive tax.

In 2002, Los Angeles imposed a ban on new billboards. Owners of existing billboards did not oppose the ban. Why? What are the implications of the ban for producer surplus, consumer surplus, and...

There are many possible ways to limit the number of cabs in a city. The most common method is an explicit quota using a fixed number of medallions that are good forever and can be resold. One...

The demand functions for the only two goods in the economy are Q1 = 10 - 2p1 + p2 and Q2 = 10 - 2p2 + p1. There are five units of each good. Solve for the equilibrium: p1, p2, Q1, and Q2?

You own $7,000. The dollar rate in Tokyo is 216.2463 Y/$. The Yen rate in New York is given in the following table: COUNTRY-CURRENCY CONTRACT $/FOREIGN CURRENCY Canadadollar Spot .8432 30-day .8415...

Please refer to the following passage for question 3. The following is an excerpt from Toifail et. al The Lancet 2018: Background: Poor nutrition and hygiene make children vulnerable to delays in...

Question 1 Blue Demon Bank expects that the Mexican peso will depreciate against the dollar from its spot rate of $0.15 to $0.14 in 10 days. The following interbank lending and borrowing rates exist:...