Consider F and C below. F(x, y, z) = (y²z+ 2xz²)i + 2xyzj + (xy² + 2x²z)k, C: x = √t, y = t + 3, z = t², 0≤ t ≤1 (a) Find a function f such that F = Vf. 2 2_2 f(x, y, z) = xyz + x²z² (b) Use part (a) to evaluate 37 X IF F. dr along the given curve C.
Consider F and C below. F(x, y, z) = (y²z+ 2xz²)i + 2xyzj + (xy² + 2x²z)k, C: x = √t, y = t + 3, z = t², 0≤ t ≤1 (a) Find a function f such that F = Vf. 2 2_2 f(x, y, z) = xyz + x²z² (b) Use part (a) to evaluate 37 X IF F. dr along the given curve C.
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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