Use the functions f and g in C[−1, 1] to find d(f, g) for the inner product 1 (f₁ g) = [ { f(x 1 f(x) = 5x, = 5x, g(x) = e-x f(x)g(x)dx. 125 (d) d(f, g) 2 √ ²7²+206²²-2²2² +² 1 e 3 2 X

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.5: Applications Of Inner Product Spaces
Problem 91E
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Use the functions f and g in C[-1, 1] to find d(f, g) for the inner product
1
(f; g) = _ _ f(x)g(x)dx.
f(x) = 5x, g(x) = e-x
(d) d(f, g)
125
3
-1
+ 20e
-
e
-2
2
+
2
2
Transcribed Image Text:Use the functions f and g in C[-1, 1] to find d(f, g) for the inner product 1 (f; g) = _ _ f(x)g(x)dx. f(x) = 5x, g(x) = e-x (d) d(f, g) 125 3 -1 + 20e - e -2 2 + 2 2
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