Determine which of the following pairs of functions are linearly independent. 1. f(t) = 3t, g(t) = |t| g(x) = 4|x|² g(x) = |x|³ NO_ANSWER NO_ANSWER NO_ANSWER NO_ANSWER ✓ 2. f(x) = x² " ✓ 3. f(x) = x³ ✓4. f(0) = cos(30) 7 " g(0) = 8 cos³ (0) - 6 cos(0)

Use the rules for derivatives to find the derivative of each function defined as follows. For now, we'll be focusing on 24, 26, and 28, as pictured in the attachment.

Q.5 Show that both of the functions f(x)=(x-1) and g(x)=x – 3x +3x-2 have stationary points at x = 1.What does the first and second derivative test tell about the nature of these stationary points?