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Vector Integrals and Theorems - Part 1 Starter Quiz

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Question 1

Let C be the triangular path connecting the points (0, 0), (2, 2) and (0, 2) in the counter clock wise direction then is equal to______.

Question 2

Evaluate + (3x2-8y2) dx, where curve is bounded by x=0, y=0 and x+y=1

Question 3

If f(x, y) = exy – x2 + y3 and c is the curve shown below, Then is

Question 4

The value of integral where c is the curve x2+y2=1 and z=y2 is

Question 5

By using Green’s theorem to compute the line integral for (xy2 + x2) dx + (4x – 1) dy where is shown below.

Question 6

If a vector function and S is the surface of the solid bounded by z = 6 – 2x2 – 2y2 and the plane z = 0, So the value of is _____.
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Jul 29ESE & GATE EC