This set of Engineering Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Application of Double Integrals”.

1. Distance travelled by any object is

a) Double integral of its accelecration

b) Double integral of its velocity

c) Double integral of its Force

d) Double integral of its Momentum

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Explanation: We know that,

x(t) = ∫∫a(t) dtdt.

2. Find the distance travelled by a car moving with acceleration given by a(t)=t^{2} + t, if it moves from t = 0 sec to t = 10 sec, if velocity of a car at t = 0sec is 40 km/hr.

a) 743.3km

b) 883.3km

c) 788.3km

d) 783.3km

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3. Find the distance travelled by a car moving with acceleration given by a(t)=Sin(t), if it moves from t = 0 sec to t = π/2 sec, if velocity of a car at t=0sec is 10 km/hr.

a) 10.19 km

b) 19.13 km

c) 15.13 km

d) 13.13 km

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4. Find the distance travelled by a car moving with acceleration given by a(t)=t^{2} – t, if it moves from t = 0 sec to t = 1 sec, if velocity of a car at t = 0sec is 10 km/hr.

a) ^{119}⁄_{22} km

b) ^{119}⁄_{15} km

c) ^{129}⁄_{12} km

d) ^{119}⁄_{12} km

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5. Find the value of ∫∫ xy dxdy over the area bpunded by parabola y=x^{2} and x = -y^{2},is

a) ^{1}⁄_{67}

b) ^{1}⁄_{24}

c) –^{1}⁄_{6}

d) –^{1}⁄_{12}

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6. Find the value of ∫∫ xydxdy over the area b punded by parabola x = 2a and x^{2} = 4ay, is

a) ^{a4}⁄_{4}

b) ^{a4}⁄_{3}

c) ^{a5}⁄_{3}

d) ^{a2}⁄_{3}

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7. Find the integration of ∫∫_{0}^{x} (x^{2} + y^{2}) dxdy, where x varies from 0 to 1

a) ^{4}⁄_{3}

b) ^{5}⁄_{3}

c) ^{2}⁄_{3}

d) 1

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8. Evaluate the value of , where y varies from 0 to 1.

a) ^{11}⁄_{12}

b) ^{14}⁄_{6}

c) ^{11}⁄_{6}

d) ^{11}⁄_{7}

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9. Evaluate ∫∫[x^{2} + y^{2} – a^{2} ]dxdy where, x and y varies from –a to a.

a) –^{2}⁄_{3} a^{4}

b) –^{4}⁄_{3} a^{4}

c) –^{4}⁄_{3} a^{5}

d) –^{2}⁄_{3} a^{5}

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10. Find the area inside a ellipse of minor-radius ‘b’ and major-radius ‘a’.

a) –^{4}⁄_{3} a^{2}

b) –^{4}⁄_{3} ab^{2}

c) ^{4}⁄_{3} ab

d) –^{4}⁄_{3}

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11. Find the value of where, y varies from 0 to 1.

a) ^{16}⁄_{946}

b) ^{8}⁄_{945}

c) ^{16}⁄_{45}

d) ^{16}⁄_{945}

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12. Find the value of integral

a) ^{3}⁄_{15}

b) ^{2}⁄_{15}

c) ^{2}⁄_{30}

d) ^{1}⁄_{15}

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**Sanfoundry Global Education & Learning Series – Engineering Mathematics.**

To practice all areas of Engineering Mathematics, __here is complete set of 1000+ Multiple Choice Questions and Answers__.