1
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33

$$\int {\left( {x - {{{x^2}} \over 2} + {{{x^3}} \over 3} - {{{x^4}} \over 4} + ....} \right)dx} $$ is equal to :

A
$$ - {1 \over {1 - {x^2}}} + $$ Constant
B
$$ - {1 \over {1 - x}} + $$ Constant
C
$${1 \over {1 + {x^2}}} + $$ Constant
D
$${1 \over {1 + x}} + $$ Constant
2
GATE CE 2022 Set 1
MCQ (More than One Correct Answer)
+1
-0.33

Let max {a, b} denote the maximum of two real numbers a and b. Which of the following statements is/are TRUE about the function f(x) = max{3 $$-$$ x, x $$-$$ 1}?

A
It is continuous on its domain.
B
It has a local minimum at x = 2.
C
It has a local maximum at x = 2.
D
It is differentiable on its domain.
3
GATE CE 2022 Set 1
Numerical
+1
-0.33

A set of observations of independent variable (x) and the corresponding dependent variable (y) is given below.

x 5 2 4 3
y 16 10 13 12

Based on the data, the coefficient a of the linear regression model

y = a + bx

is estimated as 6.1. The coefficient b is _________. (round off to one decimal place)

Your input ____
4
GATE CE 2017 Set 1
Numerical
+1
-0
$$\mathop {Lim}\limits_{x \to 0} \left( {{{\tan x} \over {{x^2} - x}}} \right)$$ is equal to _________.
Your input ____
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