GATE EC 2016 Set 3 — Question 38
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Engineering Mathematics → Calculus → Double & Triple Integrals
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Question
A triangle in the -plane is bounded by the straight lines , and . The volume above the triangle and under the plane is __________
Correct answer
10 to 10
Solution
The region in the -plane is a triangle bounded by , , and . The volume under the surface and above this region is given by the double integral:Setting up the limits:Evaluating the inner integral:Evaluating the outer integral:The volume is 10.
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