Fundamentals of Engineering Engineering Mathematics

Question 1

What is the derivative of f(x) = x³ - 5x² + 3x - 7?

Accepted Answer

3x² - 10x + 3

Answer

3x² - 5x + 3

Answer

x² - 10x + 3

Answer

3x² - 10x - 7

Question 2

Which method is used to solve a system of linear equations by reducing the augmented matrix to row echelon form?

Accepted Answer

Gaussian elimination

Answer

Cramer's rule

Answer

Newton-Raphson method

Answer

Simpson's rule

Question 3

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

Accepted Answer

1/(s - a)

Answer

1/(s + a)

Answer

a/(s - a)

Answer

s/(s - a)

Question 4

If a matrix A has eigenvalue λ, which equation must be satisfied?

Accepted Answer

det(A - λI) = 0

Answer

det(A + λI) = 0

Answer

trace(A) = λ

Answer

det(A) = λ

Question 5

What is the value of the definite integral ∫₀² (3x²) dx?

Accepted Answer

8

Answer

6

Answer

12

Answer

4

Question 6

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

Euler's method