Question: Consider the functions f and g given by the graph. If we define h = f g, then: f(x) (x) 5. 2 0 X 0

Consider the functions f and g given by the graph. If

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

we define h = fg, then: f(x) (x) 5. 2 0 X

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

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