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GATE (CE) 2022: MATHEMATICS #1 (App update required to attempt this test)

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Question 1

The domain of sin-1 [log3 (x/3)] is

Question 2

For the function f(x) = xex, the

Question 3

Let the function

S1 : f is increasing for x > 4

S2 : f is decreasing for 0 < x < 4.

The number of correct statements are ________.

Question 4

Consider the function f (x) =. The value of will be __________.

Question 5

Value of Limx->0 tan x -sin x /sin3 x is _____. (up to two decimal places).

Question 6

If f(1) = 1, f’(1) = 2, then is
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Jun 8ESE & GATE CE