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Worksheet: Line Integrals in the Plane

Q1:

Calculate for the vector field and curve , where , , , and .

  • A
  • B
  • C
  • D
  • E0

Q2:

Evaluate , where and .

  • A
  • B
  • C
  • D0
  • E

Q3:

Calculate for the vector field and curve , where and is the polygonal path from to to to .

  • A
  • B
  • C
  • D0
  • E

Q4:

Evaluate , where and .

  • A9
  • B
  • C
  • D82
  • E21

Q5:

Calculate for the vector field and curve , where ; , , .

Q6:

Evaluate , where and .

  • A9
  • B
  • C
  • D26
  • E13

Q7:

Evaluate , where , , and for .

  • A9
  • B
  • C
  • D26
  • E13

Q8:

Evaluate , where is the polygonal path from to to .

  • A10
  • B
  • C
  • D2
  • E5

Q9:

Calculate for the vector field and the curve , , , .

  • A
  • B
  • C
  • D
  • E

Q10:

Calculate for the function and curve , where ; : polygonal path from to to .

Q11:

Calculate for the function and curve , where ; : path from counterclockwise along the circle to the point and then back to along the -axis.

  • A
  • B
  • C
  • D
  • E

Q12:

Calculate for the function and curve , where , , and .

  • A2
  • B
  • C
  • D
  • E