1. Let F(x, y, z) = (y + 2xyz³‚x + x²z³,1 + 3x²yz²). (a) Show that V × F = 0. (b) Find a function f : R³ → R such that F = Vƒ. (c) Hence, or otherwise, find the value of the integral L F.ds, where C is the part of the curve with parametrisation y(t) = (2 cost, 3 sint, 4t/л) with t Є [0,л].
1. Let F(x, y, z) = (y + 2xyz³‚x + x²z³,1 + 3x²yz²). (a) Show that V × F = 0. (b) Find a function f : R³ → R such that F = Vƒ. (c) Hence, or otherwise, find the value of the integral L F.ds, where C is the part of the curve with parametrisation y(t) = (2 cost, 3 sint, 4t/л) with t Є [0,л].
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.
and and Very very grateful!
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