1. A wire is parametrized by (t, 5t – 3,3 – t2) from 0 st<1. (a) The density of the wire is given by p(x, y, z) = Vī g/cm. What is the total mass of the wire? (b) An electric field is given by E(x, y, z) = (y+ 3, 2x, 2ar + z). What is the work done by the field on an electron moving along the parametrization?

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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1. A wire is parametrized by (t, 5t – 3,3 – t2) from 0 <t< 1.
(a) The density of the wire is given by p(x, y, z) = Vī g/cm. What is the total mass of the wire?
(b) An electric field is given by E(x, y, z) = (y+ 3, 2x, 2r + z). What is the work done by the field
on an electron moving along the parametrization?
Transcribed Image Text:1. A wire is parametrized by (t, 5t – 3,3 – t2) from 0 <t< 1. (a) The density of the wire is given by p(x, y, z) = Vī g/cm. What is the total mass of the wire? (b) An electric field is given by E(x, y, z) = (y+ 3, 2x, 2r + z). What is the work done by the field on an electron moving along the parametrization?
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