(a) To prove m ( r ) ≤ 1 π r 2 ∬ S r c u r l ( F ) ⋅ d S ≤ M ( r )

Question

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Answer 1

Question

Chapter 18.2, Problem 36E

To determine

(a)

To prove

$m (r) \leq \frac{1}{π r^{2}} \iint_{S_{r}} c u r l (F) \cdot d S \leq M (r)$

To determine

(b)

To prove:

$c u r l (F (Q)) \cdot e = \lim_{r \to 0} \frac{1}{π r^{2}} \oint_{C_{r}} F . d r$

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Answer 2

Question

Chapter 18.2, Problem 36E

To determine

(a)

To prove

$m (r) \leq \frac{1}{π r^{2}} \iint_{S_{r}} c u r l (F) \cdot d S \leq M (r)$

To determine

(b)

To prove:

$c u r l (F (Q)) \cdot e = \lim_{r \to 0} \frac{1}{π r^{2}} \oint_{C_{r}} F . d r$

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 18.2, Problem 36E

To determine

(a)

To prove

$m (r) \leq \frac{1}{π r^{2}} \iint_{S_{r}} c u r l (F) \cdot d S \leq M (r)$

To determine

(b)

To prove:

$c u r l (F (Q)) \cdot e = \lim_{r \to 0} \frac{1}{π r^{2}} \oint_{C_{r}} F . d r$

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 18.2, Problem 36E

To determine

(a)

To prove

$m (r) \leq \frac{1}{π r^{2}} \iint_{S_{r}} c u r l (F) \cdot d S \leq M (r)$

To determine

(b)

To prove:

$c u r l (F (Q)) \cdot e = \lim_{r \to 0} \frac{1}{π r^{2}} \oint_{C_{r}} F . d r$

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 18.2, Problem 36E

To determine

(a)

To prove

$m (r) \leq \frac{1}{π r^{2}} \iint_{S_{r}} c u r l (F) \cdot d S \leq M (r)$

To determine

(b)

To prove:

$c u r l (F (Q)) \cdot e = \lim_{r \to 0} \frac{1}{π r^{2}} \oint_{C_{r}} F . d r$

Answer 6

Chapter 18.2, Problem 36E

To determine

(a)

To prove

$m (r) \leq \frac{1}{π r^{2}} \iint_{S_{r}} c u r l (F) \cdot d S \leq M (r)$

Answer 7

Chapter 18.2, Problem 36E

To determine

(a)

To prove

$m (r) \leq \frac{1}{π r^{2}} \iint_{S_{r}} c u r l (F) \cdot d S \leq M (r)$

Answer 8

To determine

(b)

To prove:

$c u r l (F (Q)) \cdot e = \lim_{r \to 0} \frac{1}{π r^{2}} \oint_{C_{r}} F . d r$

Answer 9

To determine

(b)

To prove:

$c u r l (F (Q)) \cdot e = \lim_{r \to 0} \frac{1}{π r^{2}} \oint_{C_{r}} F . d r$

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 18.1 - Prob. 1PQ Ch. 18.1 - Prob. 2PQ Ch. 18.1 - Prob. 3PQ Ch. 18.1 - Prob. 4PQ Ch. 18.1 - Prob. 1E Ch. 18.1 - Prob. 2E Ch. 18.1 - Prob. 3E Ch. 18.1 - Prob. 4E Ch. 18.1 - Prob. 5E Ch. 18.1 - Prob. 6E

(a) To prove m ( r ) ≤ 1 π r 2 ∬ S r c u r l ( F ) ⋅ d S ≤ M ( r )

Solution Summary: The author proves that m (r) is the minimal value of c u r l ( F ) and d S M ( R ).

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(a)

To prove

$m (r) \leq \frac{1}{π r^{2}} \iint_{S_{r}} c u r l (F) \cdot d S \leq M (r)$

(b)

To prove:

$c u r l (F (Q)) \cdot e = \lim_{r \to 0} \frac{1}{π r^{2}} \oint_{C_{r}} F . d r$

Want to see the full answer?

Chapter 18 Solutions

(a) To prove m ( r ) ≤ 1 π r 2 ∬ S r c u r l ( F ) ⋅ d S ≤ M ( r )

Solution Summary: The author proves that m (r) is the minimal value of c u r l ( F ) and d S M ( R ).

Concept explainers

Videos