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Gate 2019: Engineering Mathematics Quiz 5

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Question 1

The volume under the surface z(x,y) = x + y and above the triangle in the x – y plane defined by {0 ≤ y ≤ x and 0 ≤ x ≤ 12} is ___________.

Question 2

which of the following improper integrals is divergent?

Question 3

The value of

Question 4

The value of where R is the region in the first quadrant bounded by the curves is _______.

Question 5

The value of is

Question 6

If transforms to in polar coordinates r and θ, then a, b, c respectively, are
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Jun 19ESE & GATE EC