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GATE ME 2021 || Engineering Mathematics Quiz 10 (App update required to attempt this test)

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Question 1

In the Taylor series expansion of ex about x = 2, the coefficient of (x – 2)4 is

Question 2

The directional derivative of the function f(x, y) = x2 + y2 along a line directed from (0, 0) to (1, 1), evaluated at the point x = 1, y = 1 is

Question 3

The Gauss divergence theorem relates certain

Question 4

The directional derivative of at in the direction of line PQ, where , is _____.

Question 5

What is the value of ?

Question 6

The value of where V is the region bounded by x=0, y=0, z=0 and 2x + 2y + z = 4.
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Nov 14ESE & GATE ME