Find the equation of the curve passing through the (0,1), (1,3), (3,1) and (4,0) using the Lagrange polynomial
Find the equation of the curve passing through the (0,1), (1,3), (3,1) and (4,0) using the...
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).
Find all Nash equilibria of the following game. X Y Z A | 2,2 4,0 1,3 B 1,3 6,0 1,0 0 3,1 3,3 2,2
Write an equation of the line passing through (-3,1) and (6,2). Give the answer in standard form. The equation of the line in standard form is
Solve the heat equation 4,0 < x < 3,1 > 0 kou det u(0, 1) = 0, u(3,t) = 0,1 > 0 S2, 0<x< } u(x,0) = { 10, { <x<3 are the eigenfunctions You will need to apply separation of variables to obtain a family of product solutions un(x, t) = x (x)Ty(t) where X of a Sturm-Liouville problem with eigenvalues an (as in Section 12.1). Using the explicit expressions for un(x, t) gives (8,0) = ŠA, n=0 Then...
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
1. Find the equation of the curve passing through the point (1, 1) whose differential equation is (y - yx)dx + (x + xy)dy = 0 (10 marks)
3. Determine plane equation passing through points A(3,1, -1), B(2, 3, 4), C(-2, -3,5) Show calculation steps clear and cleanly.
Find all mixed strategy Nash Equilibria of the following game: X Y Z A 2,2 4,0 1,3 B 1,3 6,0 1,0 C 3,1 3,3 2,2
Find equations for these curves A line that passes through (0,0) and (3,1) A line that passes through (3,1) and (5,-1) A parabola with its apex at (2,2) and a y-intercept of 10.0 A sinusoidal curve with an average value of 3, a peak-to-peak amplitude of 5.0, and a wavelength of 8.0 a. b. c. d. Find equations for these curves A line that passes through (0,0) and (3,1) A line that passes through (3,1) and (5,-1) A parabola with...
5. Write the equation of the line passing through the points (1,3) and (5.19). final answer in slope-intercept form. 6. Sketch the graph of the function 7. Solve the equation: 2x2 = 3x - 10 8. Solve for x algebraically, and then give to 3 decimal places: 6-log (11x + 30) = 5 9. Graph the function: y = log2 x 10. Solve for x: 9000 = 1500 (1.013) 4x