A give the second-order taylor polynomial p2xfor the

Question

a) Give the second-order Taylor polynomial P2(x)for the function f(x)=x^(1/2),about a=4 ?

b) Use Taylor's Theorem to give the Remainder Term R2(x)=f(x)-P2(x),as a function of x and some z between 4 and x ?

c) Estimate the domain of values x for which the error R2(x)is less than 0.001. Enter a value p for which |R2(x)|<0.001for all 40.001for some x<4+2p.(Hint: replace z by 4 , which gives an upper bound to the error term.) ?

d) Give an upper bound for the error |R2(6)| ?