Use a linear approximation to estimate: 2 8.06 3 Step 1. Pick a function f and a value a so we can find the linearization of f at a. 2 We will use the function f(x) = x3 . We choose a so it is close to 8.06 and so f(a) is a quick calculation. For this question a = Step 2. Find the tangent line of f at a. f(a) = _ f '(a) = so the tangent line is: L(x) = +(x) 2 Step 3. Use the tangent line to find the estimate of 8.06 3 Z 8.063=f(8+130)mL(8+1i)= so the estimation is: 2 8.06 3 m