The figure shows how a function f(x) and its linear approximation (i.e., its tangent line) change value when a changes from co to xo + da. Suppose f(x) = x² + 2x, xo = 1 and dx = 0.05. Your answers below need to be very precise, so use many decimal places. (a) Find the change Af = f(xo + da) - f(xo). Af=0 (b) Find the estimate (i.e., the differential) df = f'(ro) dx. df = (c) Find the approximation error | Af-df. Error = f(xo + dr) f(ro) Af = f(zo + dz)-f(zo) dz v=f(x) Error-Af-df Zo (Click on graph to enlarge) df-f(z)dz to + dz Tangent

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