Engineering Mathematics Flashcards
6 cards from real Fundamentals of Engineering practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Engineering Mathematics flashcards as text
What is the derivative of f(x) = x³ - 5x² + 3x - 7?
Answer: 3x² - 10x + 3
Applying the power rule term by term yields 3x² - 10x + 3.
Which method is used to solve a system of linear equations by reducing the augmented matrix to row echelon form?
Answer: Gaussian elimination
Gaussian elimination reduces the augmented matrix to row echelon form to solve systems of linear equations.
What is the Laplace transform of f(t) = e^(at)?
Answer: 1/(s - a)
The Laplace transform of e^(at) is 1/(s - a) for s > a.
If a matrix A has eigenvalue λ, which equation must be satisfied?
Answer: det(A - λI) = 0
The characteristic equation det(A - λI) = 0 is used to find eigenvalues of a matrix.
What is the value of the definite integral ∫₀² (3x²) dx?
Answer: 8
Integrating 3x² gives x³, evaluated from 0 to 2 yields 8 - 0 = 8.
Which numerical method uses the formula xₙ₊₁ = xₙ - f(xₙ)/f'(xₙ) to find roots?
Answer: Newton-Raphson method
The Newton-Raphson method iteratively refines root estimates using the function and its derivative.