where r is the position vector 6. Show that A) - da = | (Ax (Vf)) · da + fA- dl 7. Evaluate the following integrals: (a) 8(r – 1)dr (b) (2² +3)6(x – 5)dr (c) rő(r*. | z6(r – 5)dr -5 (d) 9r*6(3x + 1)dr

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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where r is the position vector
6. Show that
< A) - da = | (Ax (Vf)) · da + fA- dl
7. Evaluate the following integrals:
(a)
6(z – 1)dz
(b) (2² + 3)6(x - 5)dr
| zó(r – 5)dr
-5
9r*6(3x + 1)dr
Transcribed Image Text:where r is the position vector 6. Show that < A) - da = | (Ax (Vf)) · da + fA- dl 7. Evaluate the following integrals: (a) 6(z – 1)dz (b) (2² + 3)6(x - 5)dr | zó(r – 5)dr -5 9r*6(3x + 1)dr
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