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13 Nov 2019
Problem 3: (20 points) (a) For what values of b and c , will F = (y2 + 2czx)1 + y(bx + czy + -ct)k be a (b) For the vector field found in (a), obtain its potential function f(x, y, z) or F = (c) Find the line integral F. df, where the conservative field F is obtained in (a), along gradient field (or conservative)? (Ans: b = 2, c = 2) any smooth curve C joining the point A (-1,3,9) to B (1,6,-4) (H: Fundamental theorem of calculus for line integrals) (Ans: -206)
Problem 3: (20 points) (a) For what values of b and c , will F = (y2 + 2czx)1 + y(bx + czy + -ct)k be a (b) For the vector field found in (a), obtain its potential function f(x, y, z) or F = (c) Find the line integral F. df, where the conservative field F is obtained in (a), along gradient field (or conservative)? (Ans: b = 2, c = 2) any smooth curve C joining the point A (-1,3,9) to B (1,6,-4) (H: Fundamental theorem of calculus for line integrals) (Ans: -206)
Sixta KovacekLv2
22 Sep 2019