Exercise 6.3(7,8,9 )

Calculus 3 (problems on Conservative vector Fields)

Question 7 0/1 pt 100 99 0 Details Consider the vector field F = (4yz, 4xz + 2, 4xy + 2z). The vector field is not conservative The vector field is conservative, and the potential function such that f(0, 0, 0) = 0 for F is f (x, y) = If F is conservative, use f(x, y) to evaluate F . dr along a piecewise smooth curve (C) from (4, 0, -2) to (0, 5, -1). F . di = Question Help: DVideo Question 8 0/2 pts ) 100 99 0 Details Consider the vector field F = (6x + 7y, 7x + 5y). Is this vector field Conservative? ( Select an answer V Use method of your choice to evaluate F . dr along the curve C: r (t) = whitt j, for 0