(g) True False O Let F be a vector field with continuous components defined along a smooth curve C parametrized by r(t), a ≤ t≤ b. Then the line integral F. dr represents a vector. (h) True False O smooth curves C1, C2, (i) True (j) True If a smooth C is made by joining a finite number of , Cn end to end then + / £ds. f √f ds = f ds + ] fds+...+ √ C₁ C2 False ☐ : If F is a vector field, then Div is vector field. False Suppose С₁ and C2 are two piecewise-smooth curves that have the same initial point and terminal point. Then in general. dr C₁ Jo₂ F · dr (1) Determine whether each of the statements is true or false by fill/bubble in the appropriate choice. You do not have to show your work.

(g) True False O Let F be a vector field with continuous components defined along a smooth curve C parametrized by r(t), a ≤ t≤ b. Then the line integral F. dr represents a vector. (h) True False O smooth curves C1, C2, (i) True (j) True If a smooth C is made by joining a finite number of , Cn end to end then + / £ds. f √f ds = f ds + ] fds+...+ √ C₁ C2 False ☐ : If F is a vector field, then Div is vector field. False Suppose С₁ and C2 are two piecewise-smooth curves that have the same initial point and terminal point. Then in general. dr C₁ Jo₂ F · dr (1) Determine whether each of the statements is true or false by fill/bubble in the appropriate choice. You do not have to show your work.

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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