Linear Approximation Consider the function /(a) = x''- with the solution point (4. (b)
Chapter 2, Problem 79(choose chapter or problem)
Linear Approximation Consider the function /(a) = x''- with the solution point (4. (b) Find the equation ot the line Tix) =/'(4)(.v - 4) + /(4) tangent to the graph of/ passing through the given point. Why are the hnear functions .V and /' nearly the same'.' (e) Use a graphing utiHty to gra]ih / and I on the same set of coordinate axes. Note that / is a "good" approximation of / when .V is "close to" 4. What happens to the accuracy of the approximation as \ nu mo\e farther away from the point of tangency'.' (d) Demonstrate the conclusion m part (O b\ completing the table.
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