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(10 points) y = f(2) The figure shows how a function f() and its linear approximation (i.e., its tangent line) change value when a changes
(10 points) y = f(2) The figure shows how a function f() and its linear approximation (i.e., its tangent line) change value when a changes from To to To + de. Suppose f(x) = x2 - 5x, To = 2 and da = 0.04. Your answers below need to be very precise, so use many decimal places. Error = 14f - dfl Af = f(ro + dx) - f(x0) (a) Find the change Af = f(to + dx) - f(To) Tangent Af = df = f(x)dx (b) Find the estimate (i.e., the differential) df = f' (xo) dx. da . . . ....... df = ro + da (c) Find the approximation error | Af - df |. Error =
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