:) = yzi + xzj + xyk _: r₁(t) = ti + 2j + tk, 0 ≤ t ≤ 4 _: r₂(t) = t²¡ + tj + t²k, 0≤t≤2

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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Evaluate
6
F • dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.)
F(x, y, z) = yzi + xzj + xyk
(a)_C₁: r₁(t) = ti + 2j + tk, 0 ≤t≤4
(b)_C₂: r₂(t) = t²i + tj + t²k, 0 ≤ t≤2
Transcribed Image Text:Evaluate 6 F • dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x, y, z) = yzi + xzj + xyk (a)_C₁: r₁(t) = ti + 2j + tk, 0 ≤t≤4 (b)_C₂: r₂(t) = t²i + tj + t²k, 0 ≤ t≤2
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