Solution Found!
omial p(t) = a0 + a1t + a2t2 for the data (1, 12), (2,15),
Chapter 1, Problem 33E(choose chapter or problem)
QUESTION:
PROBLEM 33EFind the interpolating polynomial p(t) = a0 + a1t + a2t2 for the data (1, 12), (2,15), (3, 16). That is, find a0, a1, and a2 such thata0 + a1(1) + a2(l)2 = 12a0 + a2(2) + a2(2)2 = 15a0 + a2(3) + a2(3)2 = 16
Questions & Answers
QUESTION:
PROBLEM 33EFind the interpolating polynomial p(t) = a0 + a1t + a2t2 for the data (1, 12), (2,15), (3, 16). That is, find a0, a1, and a2 such thata0 + a1(1) + a2(l)2 = 12a0 + a2(2) + a2(2)2 = 15a0 + a2(3) + a2(3)2 = 16
ANSWER:SolutionStep 1In this problem we have to find in .Consider the quadratic polynomial that satisfies the points .So the system of equation is It is equivalent to,