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Worksheet: Line Integrals in the Plane

Q1:

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

  • A
  • B0
  • C
  • D
  • E

Q2:

Evaluate , where and .

  • A0
  • B
  • C
  • D
  • E

Q3:

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

  • A0
  • B
  • C
  • D
  • E

Q4:

Evaluate , where and .

  • A82
  • B21
  • C
  • D
  • E9

Q5:

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

Q6:

Evaluate , where and .

  • A26
  • B13
  • C
  • D
  • E9

Q7:

Evaluate , where , , and for .

  • A26
  • B13
  • C
  • D
  • E9

Q8:

Evaluate , where is the polygonal path from to to .

  • A2
  • B5
  • C
  • D
  • E10

Q9:

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

  • A
  • B
  • C
  • D
  • E

Q10:

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

Q11:

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

  • A
  • B
  • C
  • D
  • E2