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Area of Region Worksheet

Area of Region Worksheet
  • 1. Find the area enclosed with the region of the following equations: u = k3 + k2 -6k and the k-axis?
    1. 352 / 5
    2. 253 / 2
    3. 765 / 3
    4. 253 / 12
  • 2. Find the bounded area enclosed with the given equations u = k2 and u = 8 – k2?
    1. 76 / 5
    2. 64 / 3
    3. 78 / 5
    4. 64 / 5
  • 3. Find out the enclosed area by the given equations of curves: k = u sin (u), k = 0, u = 0 and u = 4?
    1. 1.857
    2. 2.857
    3. 6.546
    4. 4.637
  • 4. Calculate the area bounded by the two regions k = u2 and k = √u?
    1. 3/2
    2. 2/3
    3. 3
    4. 1/3
  • 5. Find out the area of the region enclosed by k = u e(u2), k = u+1, u = 2 and the k-axis?
    1. 2.499
    2. 7.984
    3. 3.509
    4. 4.897
  • 6. Calculate the area enclosed by the two curves u = -k2 + 10 and u = (k - 2)2?
    1. 74 / 5
    2. 54 / 3
    3. 64 / 3
    4. 44 / 5
  • 7. Find out the area that is formed by given equations of the curves k = 2u2 + 10 and k = 4u + 16?
    1. 68/3
    2. 64/3
    3. 39/3
    4. 95/3
  • 8. Find out the area bounded by the curves k = sin u, k = cos u, u = π/2 and k axis?
    1. 2√2 –2
    2. 2√2 +2
    3. 2√2 –1
    4. 2√2 +1
  • 9. Determine the area of the region bounded by the curves k = u2 – 2u + 2 and k = -u2 + 6?
    1. 21
    2. 3
    3. 9
    4. 19
  • 10. Find out the bounded region that is enclosed by the curves u = (½).k2 – 3 and k = u-1?
    1. 10
    2. 28
    3. 18
    4. 39
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