Example 6.6. Let P {f(x) = do +a1r + a2r +...+a," | a, E R} C R{r]. This is the set of all polynomials of degree less than or equal to n. %3D 1. Give some eramples of elements in P2. 2. What is the domain and codomain of D? 3. Consider D: Ps Pa defined by f(r)f(r). Find D(2+3r + 5z2-r)
Example 6.6. Let P {f(x) = do +a1r + a2r +...+a," | a, E R} C R{r]. This is the set of all polynomials of degree less than or equal to n. %3D 1. Give some eramples of elements in P2. 2. What is the domain and codomain of D? 3. Consider D: Ps Pa defined by f(r)f(r). Find D(2+3r + 5z2-r)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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help pls 2 and 3
![= ao + a1r + azr + ..
+ a„r" | a, E R}C Rr]. This is the
Example 6.6. Let P {f(r)
set of all polynomials of degree less than or equal to n.
%3D
1. Give some eramples of elements in P.
P={+6)=a,+a,z- a,x/a, e RS
2. What is the domain and codomain of D?
3. Consider D: P P, defined by f(x) f'(x).
Find D(2+3r +5x2-x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d940ce8-cba2-4a95-af25-aae0739ca5aa%2Fe47f4949-635e-4bc0-ba93-950b0c03ad30%2Fvn21cu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:= ao + a1r + azr + ..
+ a„r" | a, E R}C Rr]. This is the
Example 6.6. Let P {f(r)
set of all polynomials of degree less than or equal to n.
%3D
1. Give some eramples of elements in P.
P={+6)=a,+a,z- a,x/a, e RS
2. What is the domain and codomain of D?
3. Consider D: P P, defined by f(x) f'(x).
Find D(2+3r +5x2-x)
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