Author: Study Clue

Let S = {1 − 1/n : n∈ℕ}. What is sup S? A 0 B 2 C 1 D No

Let S = {x ∈ ℝ : x² < 2}. What is sup S? A −√2 B 1 C 2

Which statement correctly describes the interval [a, b)? A a included only B Both excluded C Both included D b

On the real line, which inequality shows x is to the left of y? A x ≥ y B x

Which set equals the real line ℝ? A All rational numbers B All complex numbers C All real numbers D

For the system x′ = 3x + 4y, y′ = −4x + 3y, the eigenvalues of A are A 3

For a linear system dX/dt = AX, if A has two distinct real eigenvalues, the solution is generally A Pure

If a coupled linear system is written as dX/dt = AX, the usual solution idea uses A Only separation B

In a coupled system where dx/dt depends on both x and y, the system is called A Single separable ODE

A “simultaneous differential equation” usually means A One separable ODE B One exact ODE C Two coupled ODEs D One