Find the circulation of Bold Upper F equals 5 x Bold i plus 7 z Bold j plus 6 y Bold k around the closed path consisting of the following three curves traversed in the direction of increasing t.

The circulation of the given vector is (5/2)x² + 7yz + 6yz + C

Step-by-step explanation:

Given that F = 5xi + 7zj + 6yk

The circulation of F is given as

Integral of F.dr

dr = idx + jdy + kdz

F.dr = (5xi + 7zj + 6yk).(idx + jdy + kdz)

= 5xdx + 7zdy + 6ydz

Integral of F.dr = Integral of (5xdx + 7zdy + 6ydz)

= (5/2)x² + 7yz + 6yz + C

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation:

1.true 2.false? ? i think. .

step-by-step explanation: