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GATE 2019: Engineering Mathematics Test 7

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Question 1

The function f(x) = 2x – x2 + 3 has

Question 2

For which integral value of ‘x’ will the given expression assume maximum value?

Question 3

Consider function f(x) = (x2 – 4)2 where x is a real number. Then the function has

Question 4

The maximum value attained by the function f(x) = x (x —1) (x —2) in the interval [1, 2] is

Question 5

A function y = 5x2 +10 x is defined over an open interval x = (1, 2). At least at one point in this interval. is exactly

Question 6

Let
Consider the composition of f and g, i.e., (fog)(x)=f(g(x)) The number of discontinuities in (fog)(x) present in the interval is:
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Aug 21ESE & GATE EE