Determine whether the following pairs of functions are linearly independent or not.

Linearly independent Linearly dependent  1. $f(t)=t^2+12t$ and $g(t)=t^2-12t$

Linearly independent Linearly dependent  2. The Wronskian of two functions is $W(t) = t$ are the functions linearly independent or dependent?

Linearly independent Linearly dependent  3. $f(\theta)=12\cos 3\theta$ and $g(\theta)=48\cos^3\theta-36\cos \theta$