(b) Use the rotation matrix and find the new (transformed) coordinates of P(c+1, √3) when it is rotated counterclockwise by.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 47E
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C=4 please provide me answer within 15 minutes of part b
(a) Define an inner product on P3 by
(f.g) = f* f(x)g(x) dx.
Find a polynomial f(x) = ax² + bx + e, where a, b, e € R, which is orthogonal to both
polynomials g(x) = c+1 and h(x) = (c+1)x. Also, calculate the length of h(x).
(b) Use the rotation matrix and find the new (transformed) coordinates of P(c + 1, √3) when it
is rotated counterclockwise by.
Transcribed Image Text:(a) Define an inner product on P3 by (f.g) = f* f(x)g(x) dx. Find a polynomial f(x) = ax² + bx + e, where a, b, e € R, which is orthogonal to both polynomials g(x) = c+1 and h(x) = (c+1)x. Also, calculate the length of h(x). (b) Use the rotation matrix and find the new (transformed) coordinates of P(c + 1, √3) when it is rotated counterclockwise by.
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