Solution Found!
[M] Repeat Exercise 37 for the functions Exercise 37:[M]
Chapter 4, Problem 38E(choose chapter or problem)
[M] Repeat Exercise 37 for the functions
\(\mathbf{f}(t)=3 \sin t-4 \sin ^{3} t\)
\(\mathbf{g}(t)=1-8 \sin ^{2} t+8 \sin ^{4} t\)
\(\mathbf{h}(t)=5 \sin t-20 \sin ^{3} t+16 \sin ^{5} t\)
in the vector space Span \(\left\{1, \sin t, \sin ^{2} t, \ldots, \sin ^{5} t\right\}\).
Questions & Answers
QUESTION:
[M] Repeat Exercise 37 for the functions
\(\mathbf{f}(t)=3 \sin t-4 \sin ^{3} t\)
\(\mathbf{g}(t)=1-8 \sin ^{2} t+8 \sin ^{4} t\)
\(\mathbf{h}(t)=5 \sin t-20 \sin ^{3} t+16 \sin ^{5} t\)
in the vector space Span \(\left\{1, \sin t, \sin ^{2} t, \ldots, \sin ^{5} t\right\}\).
ANSWER:Solution 38E
Step 1 of 11
Consider the functions:
To study about the graph of the function, first draw the graph by using Maple.
Maple Input:
>
Maple Output:
Observed that, the function value of is 1 at. Generally value is 1 when.
If substitute, then.
For, then
For, then
For, then
For, then
