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Given F(x, y) = (e*y°(cos(x) + ¢(x)), 2ye*o(x)), with h E C'(R). then O (A) it does not exist o such that F is irrotational (B) if the circuitation of Falong a closed curve vanishes, then Fis conservative (C)F is conservative for every o O D)if¢(x) sin(x) + 1. F is conservative

Given F(x, y) = (e*y°(cos(x) + ¢(x)), 2ye*o(x)), with h E C'(R). then O (A) it does not exist o such that F is irrotational (B) if the circuitation of Falong a closed curve vanishes, then Fis conservative (C)F is conservative for every o O D)if¢(x) sin(x) + 1. F is conservative

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Help me by solving these two questions
Given F(x, y) = (e"y°(cos(x) + ¢(x)), 2ye*¢(x)). with E C'(R) then O (A) it does not exist o such that Fis irrotational O (B) if the circuitation of F along a closed curve vanishes, then F is conservative O (C)F is conservative for every o O (DO(x) = sin(x) + 1. Fis conservative
Transcribed Image Text:Given F(x, y) = (e"y°(cos(x) + ¢(x)), 2ye*¢(x)). with E C'(R) then O (A) it does not exist o such that Fis irrotational O (B) if the circuitation of F along a closed curve vanishes, then F is conservative O (C)F is conservative for every o O (DO(x) = sin(x) + 1. Fis conservative
The integral | Vx? + y? - 9 dxdy where D= {(x, y) € R: 9 < x +y'< 25, x < 0} equals 128 (A) 128 (B) 3 64 3. 64 O (D) 3
Transcribed Image Text:The integral | Vx? + y? - 9 dxdy where D= {(x, y) € R: 9 < x +y'< 25, x < 0} equals 128 (A) 128 (B) 3 64 3. 64 O (D) 3
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