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GATE 2023 II Engg. Mathematics Quiz 8

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Question 1

The value of:

Question 2

Evaluate

Question 3

Question 4

Question 5

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 6

For real values of x, the minimum value of the function f(x) = e^x + e^-x is

Question 7

If u = z logy + y logz + xyz, where x = sint, y=t²+ 1, z = cos^–1(t), then

at t = 0 is

Question 8

Consider a curve described by f(x) = 2x³ – 3x² – 36x + 10. Minimum of slope for the given curve occurs at what value of x.

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Mar 6ESE & GATE ME