1
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.
2
GATE CE 2022 Set 1
Numerical
+2
-0

Consider the differential equation

$${{dy} \over {dx}} = 4(x + 2) - y$$

For the initial condition y = 3 at x = 1, the value of y at x = 1.4 obtained using Euler's method with a step-size of 0.2 is ________. (round off to one decimal place)

Your input ____
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 2022 Set 1
MCQ (More than One Correct Answer)
+1
-0.33

A horizontal force of P kN is applied to a homogeneous body of weight 25 kN, as shown in the figure. The coefficient of friction between the body and the floor is 0.3. Which of the following statements is/are correct?

GATE CE 2022 Set 1 Engineering Mechanics - Equilibrium of Force Systems Question 4 English

A
The motion of the body will occur by overturning.
B
Sliding of the body never occurs.
C
No motion occurs for P $$\le$$ 6 kN.
D
The motion of the body will occur by sliding only.
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