Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. given the line integral ∫c f(r) · dr where

Given the line integral ∫c F(r) · dr where F(x, y, z) = [mxy − z3...

80.2K

Verified Solution

Question

Basic Math

Given the line integral ∫c F(r) · dr where

F(x, y, z) = [mxy − z3 ,(m − 2)x2 ,(1 −m)xz2 ]

(a) Find m such that the line integral is path independent;

(b) Find a scalar function f such that F = grad f;

(c) Find the work done in moving a particle from A : (1, 2, −3)to B : (1, −4, 2).

Answer & Explanation Solved by verified expert
4.0 Ratings (429 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Accounting
1.2K views

Jamie is a real estate agent working for ‘Houses R Us’real estate. As part...

Statistics
1.2K views

The number of errors in each of 300 files has a Poisson distribution with 1.4 errors...

Chemistry
1.2K views

14. From the half-reactions below, calculate the solubility product of Mg(OH)2.           Mg2+ + 2e º Mg(s)                        E° =...

Physics
1.2K views

A rope is wrapped around the rim of a large uniform solid disk of mass 155 kg...

General Management
1.2K views

V. LAW IN THE FINANCIAL MARKETS (Select from the choices below) A. RELEVANT TERMS _____46.drawer _____47.shelter principle _____48.HDC _____49.mere holder _____50.blank indorsement _____51.qualified...

Biology
1.2K views

8 Which of the following is the best definition of punishment OA An act done...

Basic Math
1.2K views

Determine whether the following inequality is true or false.When graphing 2x ? 8y ? 16,...

Algebra
1.2K views

find the values of k for which the matrix B is invertible b 2 1...

Accounting
1.2K views

The replacement cost of an inventory item is $88. Net realizable value is $97.50. Net...

Accounting
1.2K views

The following details are provided by Beckett Company: \table[[\table[[Initial investment],[Discount rate],[Yearly cash inflows]],$2,020,000

Accounting
1.2K views

Case 7-5 Kraft Heinz The Kraft Heinz Co. case was discussed in the chapter. To...

Accounting
1.2K views

Diane's Designs has two classes of stock authorized: 7%,$10 par value preferred and $1 par...