Engineering Mathematics Questions and Answers – Application of Double Integrals

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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2. Find the distance travelled by a car moving with acceleration given by a(t)=t² + 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
View Answer

Answer: d
Explanation: Add constant automatically
We know that,

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
View Answer

Answer: d
Explanation: Add constant automatically
We know that,

4. Find the distance travelled by a car moving with acceleration given by a(t)=t² – 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
View Answer

Answer: b
Explanation: Add constant automatically
We know that,

5. Find the value of ∫∫ xy dxdy over the area bpunded by parabola y=x² and x = -y²,is
a) ¹⁄₆₇
b) ¹⁄₂₄
c) –¹⁄₆
d) –¹⁄₁₂
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Answer: b
Explanation:

6. Find the value of ∫∫ xydxdy over the area b punded by parabola x = 2a and x² = 4ay, is
a) ^a4⁄₄
b) ^a4⁄₃
c) ^a5⁄₃
d) ^a2⁄₃
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Answer: b
Explanation:

7. Find the integration of ∫∫₀^x (x² + y²) dxdy, where x varies from 0 to 1
a) ⁴⁄₃
b) ⁵⁄₃
c) ²⁄₃
d) 1
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Answer: c
Explanation: Add constant automatically

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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Answer: c
Explanation:

9. Evaluate ∫∫[x² + y² – a² ]dxdy where, x and y varies from –a to a.
a) –²⁄₃ a⁴
b) –⁴⁄₃ a⁴
c) –⁴⁄₃ a⁵
d) –²⁄₃ a⁵
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Answer: b
Explanation:
Equation of circle is given by x² + b² = a²

10. Find the area inside a ellipse of minor-radius ‘b’ and major-radius ‘a’.
a) –⁴⁄₃ a²
b) –⁴⁄₃ ab²
c) ⁴⁄₃ ab
d) –⁴⁄₃
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Answer: c
Explanation:

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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Answer: d
Explanation:

12. Find the value of integral
a) ³⁄₁₅
b) ²⁄₁₅
c) ²⁄₃₀
d) ¹⁄₁₅
View Answer

Answer: b
Explanation:

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