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ESE 2020: Engg. Mathematics Quiz 2

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Question 1

If x + y = k, for x > 0, y > 0, then the product of these two numbers (x and y) is maximum when

Question 2

The maximum value of the function f(θ) = (asinθ + bcosθ) is

Question 3

The function f(x) = |x| is

Question 4

If f(x) =  then f(3) + f(1) equals

Question 5

Consider a function f(x). Which of the following statement is correct?
Statement p: f(x) is continuous.
Statement q: f(x) is differentiable.

Question 6

The area enclosed between the curve y = loge (x + e) and the coordinate axes is _______.

Question 7

The value of is

Question 8

The area of the region bounded by the parabola  and the straight line x + y = 3 is

Question 9

Given , the value of the definite integral,

Question 10

The value of is ________ Where is the greatest integer function.
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Sep 16ESE & GATE CE