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Section 10.10 Problem 7: Find a formula for a polynomial P of degree 3 such that P(0) = -1, P "(0) = 2, P"(0) =-5, and P"(0) = 12. Problem 8: In problem 8, calculate the first several terms of the Maclaurin series for the given functions and compare with the series representations we found in Section 10.9 whew(he series should be the same.) e "to the x* term Section 10.11 Problem 9: In problem 9, a function f(x) and a value of n are given. Determine a formula for Rn(x) and find a bound for | Rn(x) | on the given interval. This bound for | Rn(x) | is our "guaranteed accuracy" for Pp to approximate f(x) on the given interval. (Use c = 0.) f(x) = sin(x ) ,n = 5, [-1/2 ,*/2]