2. The general form of a cubic is p(x) = ao + a1x +a2x² + a3x³ %3D Suppose you are given the following four points in the x, y plane: (-1,4), (0, 1), (1,0), and (2, –5). Find a cubic passing through all these points. (Hint: if the cubic passes through these points, then p(-1) = 4, p(0) = 1, p(1) = 0, and p(2) = -5. Plug these values into the general form of a cubic and get a system of 4 equations with 4 unknowns: ao, a1, a2, a3. Solve this system using matrices.)

2. The general form of a cubic is p(x) = ao + a1x +a2x² + a3x³ %3D Suppose you are given the following four points in the x, y plane: (-1,4), (0, 1), (1,0), and (2, –5). Find a cubic passing through all these points. (Hint: if the cubic passes through these points, then p(-1) = 4, p(0) = 1, p(1) = 0, and p(2) = -5. Plug these values into the general form of a cubic and get a system of 4 equations with 4 unknowns: ao, a1, a2, a3. Solve this system using matrices.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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