Find polynomial through points (1,15) , (5,-1), (0.5,21.5) and (-2,-36)
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2. [8 points] a) What is the smallest degree of a polynomial that passes through all 5 of the points below? b) Set up a system of equations that can be used to find the polynomial in a). x 1 2 3 4 5 y 5 15 19 23 33 2. [8 points] a) What is the smallest degree of a polynomial that passes through all 5 of the points below? b) Set up a system of equations that can...
Find the polynomial of degree 4 whose graph goes through the points (-3,-194), (-2,-36), (0, 10), (2, 16), and (3, -56) f(x) +10
Problem 3. (8 points) Given that the interpolation polynomial of the points (-3,2), (-2,1),(-1,-1), (0,1), (1,0), (2,0), (3, 1) is 191 13 5 781 , 53 Q(x) = -3602 + 30++ Find a polynomial curve passing through these seven points and additionally the point (4,0). Write your polynomial in standard form anx" +...+212 +00 +1. 360" + en
The polynomial of degree 4 The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 4 and roots of multiplicity 1 at x = 0 and x = – 2. It goes through the point (5, 7). Find a formula for P(x). P(x) =
Given the data points (-3,5),(-2,5),(-1,3), (0, 1) (a) Find the interpolating polynomial passing through these points. (b) Using your polynomial from (a), evaluate P(1). (c) This polynomial interpolates the function f(x) = 24. Find an upper bound for the approximation in part (b).
12. Given the data set: We want to find the interpolating polynomial of degree 2 through these points. a) Write the interpolating polynomial in Lagrange form b) Write the interpolating polynomial in Newton form.
7. Find the polynomial of degree 4 through the points (1, 2), (-1,0), (2, 15), (0,1) and (-2, 11), and check that it works.
(3 points) Find a formula for the polynomial of least degree through the points shown in the graph. f(x) = help (formulas) - - -2
MATH 220 Project 1 Polynomial Curve Fitting It desired to fit a polynomial curve through evenly spaced (x-direction) points. The general form of a polynomial is: f(x) = 4,x" +47-1X2-1 + + ax + ao If one wishes to fit a curve through, say 4 points, one would need a 3rd degree polynomial (n = 3) such that 4 unknown constants could be evaluated. In the absence of availability of many wathematical programming tools (Matlab, etc., Mathematica is available as...
4. Find the degree 3 polynomial y = ax + bx2 +er+d which passes through the following four points. (0.1), (1.-1). (2.-1). (3.7)