Propose a program in Matlab that solves the following: Given a polynomial P of degree n, a value X, is obtained: the evaluation of the polynomial in x, P(x); the evaluation of the derivative of the polynomial at x, P'(x); the evaluation of a primitive of the polynomial, I, at x for a given constant C; that is: | P(x)dx = [(z) +C Use the program to estimate the mean temperature during the given 6-hour period. Time Temperature C 10h00 16 11h00 19 12h00 20 13h00 21 14h00 22 15h00 19 16h00 17 Propose a program in Matlab that solves the following: Given a polynomial P of degree n, a value X, is obtained: the evaluation of the polynomial in x, P(x); the evaluation of the derivative of the polynomial at x, P'(x); the evaluation of a primitive of the polynomial, I, at x for a given constant C; that is: | P(x)dx = [(z) +C Use the program to estimate the mean temperature during the given 6-hour period. Time Temperature C 10h00 16 11h00 19 12h00 20 13h00 21 14h00 22 15h00 19 16h00 17