Determine which of the following pairs of functions are linearly independent.

NO_ANSWER Linearly independent Linearly dependent  1. $f(t) = 3t \quad, \quad g(t) = |t|$

NO_ANSWER Linearly independent Linearly dependent  2. $f(x) = x^2\quad, \quad g(x) = 4|x|^2$

NO_ANSWER Linearly independent Linearly dependent  3. $f(t) = 2t^2+14t \quad,\quad g(t)=2t^2-14t$

NO_ANSWER Linearly independent Linearly dependent  4. $f(\theta) = \cos(3\theta) \quad,\quad g(\theta)=8\cos^3(\theta)-6\cos(\theta)$