calc_tutorial_16_2_038

 
Problem Statement

{2,3,4}
{8,9,10}
{8,9,10}
{2,3,4}
3-10-9
9+10-3
3*16

C is the path from P to Q in the figure below that traces C1, C2 and C3 in the orientation indicated, and F is a vector field such that

Find the value of , where C' is the path that traverses the loop C2 3 times in the clockwise direction.

 
Step 1

Question Sequence

Question 1

Since C' is the path that traverses the loop C2 3 times in the clockwise direction, the line integral

is times the line integral

Thus we need to calculate .

Using additivity and reversing orientation of vector line integrals, calculate .

= ()

=

Thus = .

Correct.
Incorrect.

 
Step 2

Question Sequence

Question 2

Calculate .

Correct.
Incorrect.