Sel e5.x + 4.x3 +4 Suppose you have the function f(x)= New A5. x what is the Taylor expansion to the third-order at around O Recall that a Taylor expansion can be written as f ( x + Ax ) = Z FO ( x ) (4x) 1=0 Suppose you have a function f(x) such that f(5)= 10, f(5)=12, f*(5)=16, and all other derivatives of f(x) are zero at x=5. Assuming the function and all its derivatives exist and are continuous between x=5 and x= 10, the value of f(10) is dx Now suppose that we know that y(x) is the solution to -= 5 . y4+5, and y(0) = 10, the value of y(0.2) from a second-order Taylor expansion around x=0 HINT: y is a function of x here is y(0.2)=