In exercises 11 - 16, compute the values given within \(0.01\) by deciding on the appropriate \(f(x)\) and \(a\), and evaluating \(L(x)=f(a)+f′(a)(x−a).\) Check your answer using a calculator. In exer...In exercises 11 - 16, compute the values given within \(0.01\) by deciding on the appropriate \(f(x)\) and \(a\), and evaluating \(L(x)=f(a)+f′(a)(x−a).\) Check your answer using a calculator. In exercises 17 - 22, determine the appropriate \(f(x)\) and \(a\), and evaluate \(L(x)=f(a)+f′(a)(x−a).\) Calculate the numerical error in the linear approximations that follow.
