Problem 2 (1) A linear polynomial with real coefficients (in one variable) is a polynomial of the form p(r) = ar + b for some a, b e R. Write down the system of equation that a, b must satisfy for the graph of p to pass through the points (-1,3), (2,-3). Find the right a and b. hint: the graph of a function is the set of points whose coordinates are of the form (x, f(z)) for some z in R (2) A quadratic polynomial with real coefficients (in one variable) is a polynomial of the form p(x) = ar² + bx+c for some a, b, c E R. Write down the system of equations that a, b, c must satisfy for the graph of p to pass through the points (1,1), (2,2) and (3,5). Find the right a, b, c using the elimination and back substitution.
Problem 2 (1) A linear polynomial with real coefficients (in one variable) is a polynomial of the form p(r) = ar + b for some a, b e R. Write down the system of equation that a, b must satisfy for the graph of p to pass through the points (-1,3), (2,-3). Find the right a and b. hint: the graph of a function is the set of points whose coordinates are of the form (x, f(z)) for some z in R (2) A quadratic polynomial with real coefficients (in one variable) is a polynomial of the form p(x) = ar² + bx+c for some a, b, c E R. Write down the system of equations that a, b, c must satisfy for the graph of p to pass through the points (1,1), (2,2) and (3,5). Find the right a, b, c using the elimination and back substitution.
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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Please solve both parts correctly and handwritten
Transcribed Image Text:Problem 2
(1) A linear polynomial with real coefficients (in one variable) is a polynomial of the
form p(r) = ar + b for some a, b e R. Write down the system of equation that a, b
must satisfy for the graph of p to pass through the points (-1,3), (2, -3). Find the
right a and b.
hint: the graph of a function is the set of points whose coordinates are of the form (x, f(z)) for some z in R
(2) A quadratic polynomial with real coefficients (in one variable) is a polynomial of the
form p(x)= ar2 + bx+c for some a, b, c E R. Write down the system of equations
that a,b,c must satisfy for the graph of p to pass through the points (1,1), (2, 2)
and (3,5). Find the right a, b, c using the elimination and back substitution.
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