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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 = -k+ 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
Math Topics