Consider the functions f and g given by the graph. If we define h = fg, then:

f(x) (x) 5. 2 0 X 0 3 15 8; g) If the bug crawls along f, find its instantaneous velocity and speed at x = 3. h) Find and graph the equation of the tangent line to the curve fat x = 3. i) Use your graphing utility to graph both f and f' on [1,4]. Compare the analytical value from part g to the value obtained by viewing the graph of f'. (Include screen shots) j) What is the bug's acceleration along fat x = 3