Answered: Use the inner product (f. g) = [… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 12E

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Question

Use the inner product
(f. g) = [ f(x)g(x) dx
in the vector space Cº[0, 1] of continuous
functions on the domain [0, 1] to find (f, g),
||f||, |lg||, and the angle (in radians) a f.g
between f(x) and g(x) for
f(x) = -5x²-9 and g(x) = -6x - 10.
(f,g) =
||f|| =
||૪||
af,g

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