Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
iv) Find the matrix A and vector b in the linear algebraic system by assembling equations from (i-ii). v) Solve the linear system in the previous problem to determine the two cubic functions y1 and y2

iv) Find the matrix A and vector b in the linear algebraic system by assembling equations from (i-ii). v) Solve the linear system in the previous problem to determine the two cubic functions y1 and y2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
See similar textbooks
icon
Related questions
Question
plz solve question (iv),(v) with explanation and get upvotes.
determine a cubic spline approximation that fits through data pts: P1(1; 1); P2(2; 2); P3(3; 1:5); P4(4; 3); P5(5; 2) Spline built with two functions: Y1 = a1 + azx+a3x² + a4x³, Y2 = az + a6x +a7x² + agx³. i) Formulate 3 linear algebraic equations so y1 goes through points P1; P2 and P3 ii) Formulate 3 linear algebraic equations so y2 goes through the points P3; P4 and P5 iii) Formulate 2 linear algebraic equations so the slope and curvature are both continuous point P3. iv) Find the matrix A and vector b in the linear algebraic system by assembling equations from (i-iii). v) Solve the linear system in the previous problem to determine the two cubic functions y1 and y2
Transcribed Image Text:determine a cubic spline approximation that fits through data pts: P1(1; 1); P2(2; 2); P3(3; 1:5); P4(4; 3); P5(5; 2) Spline built with two functions: Y1 = a1 + azx+a3x² + a4x³, Y2 = az + a6x +a7x² + agx³. i) Formulate 3 linear algebraic equations so y1 goes through points P1; P2 and P3 ii) Formulate 3 linear algebraic equations so y2 goes through the points P3; P4 and P5 iii) Formulate 2 linear algebraic equations so the slope and curvature are both continuous point P3. iv) Find the matrix A and vector b in the linear algebraic system by assembling equations from (i-iii). v) Solve the linear system in the previous problem to determine the two cubic functions y1 and y2
Expert Solution
steps

Step by step

Solved in 6 steps with 6 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS