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
In statistics, what does a p-value less than 0.05 typically indicate?
Answer: The result is statistically significant at the 5% level
A p-value < 0.05 indicates statistical significance at the 5% level, meaning we reject the null hypothesis.
What is the gradient of the scalar function f(x, y) = x²y + y³?
Answer: (2xy, x² + 3y²)
The gradient ∇f = (∂f/∂x, ∂f/∂y) = (2xy, x² + 3y²).
Which integration technique is best suited for ∫ x·eˣ dx?
Answer: Integration by parts
Integration by parts (∫u dv = uv - ∫v du) is used when the integrand is a product of two different function types.
What is the mean of the standard normal distribution?
Answer: 0
The standard normal distribution N(0,1) has a mean of 0 and standard deviation of 1.
What type of matrix has all entries below the main diagonal equal to zero?
Answer: Upper triangular matrix
An upper triangular matrix has all entries below the main diagonal equal to zero.
What is the solution to the linear differential equation y'' + 4y = 0?
Answer: y = C₁cos(2x) + C₂sin(2x)
The characteristic equation r² + 4 = 0 gives r = ±2i, yielding the general solution y = C₁cos(2x) + C₂sin(2x).