LIUDIEM LIST Next Problem (10 points) The figure shows how a function f(x) and its linear approximation (i.e., its tangent line) change value when x changes from X, to xo + dx. Suppose f(x) = x2 – 3.0, 20 = 3 and dx = 0.01. Your answers below need to be very precise, so use many decimal places. (a) Find the change Af = f(xo + dx) - f(xo). Af = (b) Find the estimate (i.e., the differential) df = f'(x) dx. df= (c) Find the approximation error Af-df. Error = Note: You can earn partial credit on this problem. y = f(x) f(x + dx) Error = |A7-11 AJ - fir + dr) - f(x) Tangent |df = f'(r)da (*) zot da (Click on graph to enlarge)