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Line integrals and work Quiz: printable

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Line integrals and work Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-3/line-integrals-and-work/quiz/

  1. 1

    Line integral of F = <y, x> along the segment from (0, 0) to (1, 2)

    Answer: ____________________

  2. 2

    Line integral of F = <2, 3> along the segment from (0, 0) to (4, 1)

    Answer: ____________________

  3. 3

    Line integral of F = <x2, y> along the segment from (0, 0) to (1, 1)

    Answer: ____________________

  4. 4

    Line integral of F = <3, y> along the segment from (0, 0) to (2, 2)

    Answer: ____________________

  5. 5

    Line integral of F = <x, x> along y = x2 from (0, 0) to (1, 1)

    Answer: ____________________

  6. 6

    Line integral of F = <−y, x> along the segment from (1, 0) to (0, 2)

    Answer: ____________________

  7. 7

    Line integral of F = <y, x2> along y = x2 from (0, 0) to (1, 1)

    Answer: ____________________

  8. 8

    Line integral of F = <x + y, x> along the segment from (0, 0) to (2, 1)

    Answer: ____________________

  9. 9

    Work done by F = <xy, x> along y = x2 from (0, 0) to (2, 4)

    Answer: ____________________

  10. 10

    Line integral of F = <x − y, x + y> along the segment from (1, 1) to (3, 2)

    Answer: ____________________

Answer key

  1. 2
  2. 11
  3. 56
  4. 8
  5. 76
  6. 2
  7. 56
  8. 4
  9. 283
  10. 92

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