Exercise 6.3(3,4,5,6)

Calculus 3 (problems on Conservative vector Fields)

0 Question 3 l3 0/1 pt '0 100 2 99 6) Details Consider the vector field 13" = (63: + 71;, 7:1: + 53;). The vector field is not conservative The vector field is conservative, and the potential function such that f(0, 0) = 0 for F" is m, w = If F" is conservative, use f(m, y) to evaluate / I? - d? along a simple closed smooth oriented curve (C C ). C Question Help: El Video 0 Question 4 l3 0/1 pt '0 100 Z 99 (D Details Consider the vector field 13" = (14:33; + By 12, 7:1:2 + 5:13). The vector field is not conservative The vector field is conservative, and the potential function such that f(0, 0) = 0 for F" is M v) = If 13" is conservative, use f(2:, y) to evaluate f 14:" - d? along a piecewise smooth curve (C) from (-4,-4) C to (2,-2). O 0 Question 5 B 0/1 pt '0 100 2 99 (D Details Consider the vector field 11:" =