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Double integrals in polar form Quiz: printable

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Double integrals in polar form Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-3/double-integrals-in-polar-form/quiz/

  1. 1

    Double integral of x2 + y2 over the disk x2 + y2 ≤ 4

    Answer: ____________________

  2. 2

    Double integral of 1 over the disk x2 + y2 ≤ 16

    Answer: ____________________

  3. 3

    Double integral of 2 over the upper half of the disk x2 + y2 ≤ 4

    Answer: ____________________

  4. 4

    Double integral of 4 over the ring 1 ≤ x2 + y2 ≤ 4

    Answer: ____________________

  5. 5

    Double integral of 2 over the first quadrant part of the disk x2 + y2 ≤ 9

    Answer: ____________________

  6. 6

    Double integral of x2 + y2 over the ring 1 ≤ x2 + y2 ≤ 4

    Answer: ____________________

  7. 7

    Double integral of 2(x2 + y2) over the disk x2 + y2 ≤ 4

    Answer: ____________________

  8. 8

    Double integral of 5 over the ring 4 ≤ x2 + y2 ≤ 9

    Answer: ____________________

  9. 9

    Double integral of (x2 + y2)2 over the disk x2 + y2 ≤ 1

    Answer: ____________________

  10. 10

    Double integral of x2 + y2 over the upper half of the ring 1 ≤ x2 + y2 ≤ 9

    Answer: ____________________

Answer key

  1. 8π
  2. 16π
  3. 4π
  4. 12π
  5. 9π/2
  6. 15π/2
  7. 16π
  8. 25π
  9. π/3
  10. 20π

Every answer solved step by step: steplyclass.com/calculus-3/double-integrals-in-polar-form/quiz/answers/