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}?
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)
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)
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?
