(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. (a) True False Suppose C₁ and C2 are two smooth curves joints point (x1,y1, 1) to the point (x2, y2, 22). Suppose for the vector field ♬ there exists a function ƒ such that ♬ = у. Then | F · dr'ds = . √ F. dr where f is our usual function with the appropriate required conditions may or may not Iff has continuous partial derivatives on R³ and C is be true. (b) True False any circle, then f. dr = 0. (c) True False : If F is path-independent, then Lo₂ F - dr = F. . dr where C1 and C2 are any path.
(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. (a) True False Suppose C₁ and C2 are two smooth curves joints point (x1,y1, 1) to the point (x2, y2, 22). Suppose for the vector field ♬ there exists a function ƒ such that ♬ = у. Then | F · dr'ds = . √ F. dr where f is our usual function with the appropriate required conditions may or may not Iff has continuous partial derivatives on R³ and C is be true. (b) True False any circle, then f. dr = 0. (c) True False : If F is path-independent, then Lo₂ F - dr = F. . dr where C1 and C2 are any path.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.4: Translating Words Into Symbols
Problem 2MRE
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