Question: How do I go about these problems? 4. The hyperbolic cosine and sine functions, cosh(x) and sinh(x) , are defined as follows: (30) cosh(x) =-

How do I go about these problems?

4. The hyperbolic cosine and sine functions, cosh(x) and sinh(x) , are defined as follows: (30) cosh(x) =- _ e tex & sinh(x ) = ex - ex 2 2 You should verify for yourself that - (cosh(x)) = sinh(x) and ( sinh ( x ) ) = cosh ( x ) . A) Find the 6* degree Taylor polynomial, P6(x), for the hyperbolic cosine function about x = 0. SHOW WORK. Then use it to estimate the value of cosh(1) . B) Use the Lagrange error bound theorem to compute an upper bound on the absolute error in using P6 (1) to estimate cosh(1) . SHOW WORK

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