Please answer everything.Kindly skip if you're not interested to answer them.Thank you! Consider the conservative vector field84F(x, y, 2) = (2x +y3y²cos (3nz),3ny³ sin (3nz) – x2).2xz,\2х + у2х + у(a) Find the potential function p of F that satisfies (2,2,1) = 2.(b) Use the Fundamental Theorem of Line Integrals to find the work done by F along the curve withparametrizationR(t) = (2 – t,–-cos (nt), 3'), te [0,1].

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Consider the conservative vector field 4 8 F(x, y, z) = – 3y²cos (3nz),37y sin (3tz) – x2). 2xz, %3D 12х + у 2х + у (a) Find the potential function p of F that satisfies o(2,2,1) = 2. (b) Use the Fundamental Theorem of Line Integrals to find the work done by F along the curve with parametrization R(t) = (2 – t, -cos (nt), 3t), t E [0,1].

Consider the conservative vector field 4 8 F(x, y, z) = – 3y²cos (3nz),37y sin (3tz) – x2). 2xz, %3D 12х + у 2х + у (a) Find the potential function p of F that satisfies o(2,2,1) = 2. (b) Use the Fundamental Theorem of Line Integrals to find the work done by F along the curve with parametrization R(t) = (2 – t, -cos (nt), 3t), t E [0,1].

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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