EIT Mathematics and Statistics

Question 1

What is the derivative of f(x) = x³ + 4x² - 7x + 2?

Accepted Answer

3x² + 8x - 7

Answer

3x² + 4x - 7

Answer

x² + 8x - 7

Answer

3x³ + 8x - 7

Question 2

A dataset has values 4, 8, 6, 10, 12. What is the standard deviation?

Accepted Answer

3.16

Answer

2.83

Answer

2.56

Answer

3.46

Question 3

What is the Laplace transform of f(t) = e^(at)?

Accepted Answer

1/(s-a)

Answer

1/(s+a)

Answer

a/(s²+a²)

Answer

s/(s²+a²)

Question 4

Which numerical method uses the formula xₙ₊₁ = xₙ - f(xₙ)/f'(xₙ) to find roots?

Accepted Answer

Newton-Raphson method

Answer

Bisection method

Answer

Secant method

Answer

Fixed-point iteration

Question 5

What is the determinant of the matrix [[2,3],[1,4]]?

Accepted Answer

5

Answer

11

Answer

8

Answer

14

Question 6

In probability, if P(A) = 0.4 and P(B) = 0.3 and A and B are independent, what is P(A∩B)?

Accepted Answer

0.12

Answer

0.70

Answer

0.10

Answer

0.58