5. Verify the Fundamental Theorem of Line Integrals for the path C consisting of a line segment,starting at the origin and ending at (0,4), traveling through the vector field[-yey - 3x²]f(z,y) = ze + 1That is, calculate the line integral directly, by parameterizing C and plugging that into your vectorfield, and then also calculate it using a potential for the vector field. Verify the two answers match!

Answered: Image /qna-images/answer/66d032ee-6b03-4156-bfcf-4da5c76096ea.jpg

5. Verify the Fundamental Theorem of Line Integrals for the path C consisting of a line segment, starting at the origin and ending at (0,4), traveling through the vector field -yey 3x² f(x,y) = x² + +1 That is, calculate the line integral directly, by parameterizing C and plugging that into your vector field, and then also calculate it using a potential for the vector field. Verify the two answers match!

5. Verify the Fundamental Theorem of Line Integrals for the path C consisting of a line segment, starting at the origin and ending at (0,4), traveling through the vector field -yey 3x² f(x,y) = x² + +1 That is, calculate the line integral directly, by parameterizing C and plugging that into your vector field, and then also calculate it using a potential for the vector field. Verify the two answers match!

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 31E

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