6. Use Pg4 or P¢-a (you have to pick the right one!) to transform the following function as a linear combination of functions in C. 1+2 cos(t) + 4 cos (t) + 8 cos°(t) + 16 cos*(t) + 32 cos (t) + 64 cos®(t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6. Use P-g or Pera (you have to pick the right one!) to transform the following function as a linear
combination of functions in C.
1+2 cos(t) +4 cos²(t) + 8 cos*(t) + 16 cos“(t) + 32 cos (t) + 64 cos®(t)
Transcribed Image Text:6. Use P-g or Pera (you have to pick the right one!) to transform the following function as a linear combination of functions in C. 1+2 cos(t) +4 cos²(t) + 8 cos*(t) + 16 cos“(t) + 32 cos (t) + 64 cos®(t)
. Suppose C =
{1, cos(t), cos(2t), cos(3t), cos(4t), cos(5t), cos(6t)} and B i
Consider B = {1, cos(t), cos² (t), cos (t), cos“(t), cos® (t), cos® (t)} and vector space H = span {B}
COS
Transcribed Image Text:. Suppose C = {1, cos(t), cos(2t), cos(3t), cos(4t), cos(5t), cos(6t)} and B i Consider B = {1, cos(t), cos² (t), cos (t), cos“(t), cos® (t), cos® (t)} and vector space H = span {B} COS
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