In this worksheet, we will practice finding the line integral of a vector field along an oriented piecewise differentiable curve in the plane.
Q1:
Calculate for the vector field and curve , where , , , and .
- A
- B0
- C
- D
- E
Q2:
Calculate for the vector field and curve , where and is the polygonal path from to to to .
- A0
- B
- C
- D
- E
Q3:
Calculate for the vector field and curve , where , , , and .
Q4:
Calculate for the vector field and the curve , , , .
- A
- B
- C
- D
- E
Q5:
Calculate for the vector field and curve , where , , , and .
Q6:
Calculate for the vector field and curve , where , , , and .
Q7:
Calculate for the vector field and curve , where ; , , .
- A0
- B
- C
- D
- E
Q8:
Suppose is the path given by for , is the path given by for , and . Without calculating the integrals, which of the following is true?
- A
- B
- C