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Concept explainers
(a)
To find:
Solution:
Explanation:
1) Concept:
If
2) Given:
3) Calculation:
If
Integrate
Notice that the constant of integration is a constant with respect to
Now differentiate above equation with respect to
Comparing (2), and (4)
Integrating with respect to
Hence (4) becomes
Differentiate with respect to
Comparing this equation with (3)
Integrate with respect to
Therefore, (6) becomes,
Conclusion:
(b)
To evaluate:
Solution:
Explanation:
1) Concept:
Fundamental theorem of line integral:
Let
2) Given:
3) Calculation:
C is a smooth curve with initial point
So, by using concept,
Since
From the answer of part (a),
Therefore,
Conclusion:
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Chapter 16 Solutions
CALCULUS -W/ACCESS
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
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