Question

PLEASE USE PYTHON CODE 8. Use Neville's method to determine the equation of quadratic that passes...

PLEASE USE PYTHON CODE

8. Use Neville's method to determine the equation of quadratic that passes through the points

x = -1, 1, 3

y = 17, -7, -15

Homework Answers

Answer #1

8) Given   

x y f(x)
-1 17
1 -7
3 -15

By Neville's method to determine the equation of the quadratic that passes through the points (x0, y0), (x1, y1), (x2, y2) is

  

, which is the required quadratic expression.

I have tried to explain it in very simple language and I hope that I have answered your question satisfactorily. Leave doubts in the comment section if any.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use python code to solve IVP. Code must print both general and particular solutions. Please paste...
Use python code to solve IVP. Code must print both general and particular solutions. Please paste full python code for your answer. IVP: y′=(5x^2)(y^2)+(125x^2), y(−7π)=10 Below is an example of code for the problem 7x″−3x′−57x=0, x(2π)=9, x′(−π)=5exp(3) : from sympy import * y = symbols('y') x = Function('x') x = dsolve(7*diff(x(y),y,2)-3*diff(x(y),y)-57*x(y),x(y)) print('The general solution is: ',x,'.',sep='') x = x.rhs xp = diff(x,y) y0, y0p = 2*pi, -pi x0, x0p = 9, 5*exp(3) x0LHS, x0pLHS = x.subs(y,y0) - x0, xp.subs(y,y0p) -...
Use python (spi.RK45 )to code the Runge Kutta method to approximate/plot the solution the following initial-value...
Use python (spi.RK45 )to code the Runge Kutta method to approximate/plot the solution the following initial-value ?′=1+(?−?)2, 2<?<3, ?(2)=1y′=1+(t−y)2, 2
Use the​ partial-fraction method to solve the following equation. dy/dx=(y+8)(y-7), where y(0)=5 The partial fraction constants...
Use the​ partial-fraction method to solve the following equation. dy/dx=(y+8)(y-7), where y(0)=5 The partial fraction constants in the partial fraction method equation 1/(y+8)(y-7)=A/(y+8)+B/(y-7) are A=-1/15 and B= 1/15. Solve the equation. y=?
Consider the quadratic function f, given by f(x) = −x2 + 6x−8. (i) Determine if the...
Consider the quadratic function f, given by f(x) = −x2 + 6x−8. (i) Determine if the graph of y = −x2 + 6x − 8 is concave up or concave down, providing a justification with your answer. (ii) Re-write the equation of the quadratic function f, given by f(x) = −x2 +6x−8, in the standard form f(x) = a(x−h)2+k by completing the square. Hence determine the vertex of the graph of y = f(x). (iii) Identify the x-intercepts and y-intercept...
Find the equation y = ax2 + bx + c of the parabola that passes through...
Find the equation y = ax2 + bx + c of the parabola that passes through the points. To verify your result, use a graphing utility to plot the points and graph the parabola. (−8, 0), (−4, −4), (0, 0)
Find an equation of the curve that passes through the point and has the given slope....
Find an equation of the curve that passes through the point and has the given slope. (Enter your solution as an equation.) (0, 4), y' = x 6y 2. Find the particular solution of the differential equation that satisfies the initial condition. (Enter your solution as an equation.) Differential Equation Initial Condition y(1 + x2)y' − x(7 + y2) = 0 y(0) = 3
find the equation of the parabola with vertical axis that passes through the point (0,2) and...
find the equation of the parabola with vertical axis that passes through the point (0,2) and points of intersection of the parabolas x^2 +2x+3y+4=0 and x^2 -3x+y+3=0
1. Determine a formula for the exponential function of the form y=C·b^x that passes through the...
1. Determine a formula for the exponential function of the form y=C·b^x that passes through the points (?1, 4) and (2, 256). If necessary, round the value of b to one decimal place. A) y=4·64^x B) y=4·8^x C) y=16·8^x D) y=4·84^x E) y=16·4^x
Find an equation of the plane. The plane that passes through the line of intersection of...
Find an equation of the plane. The plane that passes through the line of intersection of the planes x − z = 2 and y + 3z = 1 and is perpendicular to the plane x + y − 3z = 3
Use a graphing utility to determine the number of real solutions of the quadratic equation. 1/3x^2...
Use a graphing utility to determine the number of real solutions of the quadratic equation. 1/3x^2 − 5x + 27 = 0