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1. Parts (a)-(c) refer to the vector field F shown to the right, together with the 5 curves C1, C2,., C5. Let Có be the closed curve given by C1+C2+ C3 + C4. (a) Is ſc. F ·dr positive, negative, or zero? Explain, using a complete sentence. (b) Is ſc. F ·dr positive, negative, or zero? Explain, using a complete sentence. (c) Rank the following quantities in order from smallest to largest: F - dř, F - dř, F-dř, F - dř,F F - dř

1. Parts (a)-(c) refer to the vector field F shown to the right, together with the 5 curves C1, C2,., C5. Let Có be the closed curve given by C1+C2+ C3 + C4. (a) Is ſc. F ·dr positive, negative, or zero? Explain, using a complete sentence. (b) Is ſc. F ·dr positive, negative, or zero? Explain, using a complete sentence. (c) Rank the following quantities in order from smallest to largest: F - dř, F - dř, F-dř, F - dř,F F - dř

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Parts (a)-(c) refer to the vector field F shown to the right, together with the 5 curves C1, C2,.., C5. Let C6 be the closed curve given by C1 +C2 + C3 + C4. C3 (a) Is Sc. F · dr positive, negative, or zero? Explain, using a complete sentence. (b) Is ſc. F · dr positive, negative, or zero? Explain, using a complete sentence. (c) Rank the following quantities in order from smallest to largest: F - dĩ F- dř, F- dř, | F ·dř, | F dr,
Transcribed Image Text:1. Parts (a)-(c) refer to the vector field F shown to the right, together with the 5 curves C1, C2,.., C5. Let C6 be the closed curve given by C1 +C2 + C3 + C4. C3 (a) Is Sc. F · dr positive, negative, or zero? Explain, using a complete sentence. (b) Is ſc. F · dr positive, negative, or zero? Explain, using a complete sentence. (c) Rank the following quantities in order from smallest to largest: F - dĩ F- dř, F- dř, | F ·dř, | F dr,
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