Consider the function f(x)=exp(x). Let p in P, be the interpolation polynomial for the data x=(0,1) and y3(exp(0),exp(1)). Find the value p(x)dx, and enter the result as a decimal number with at least 4 significant digits, i.e. as many zeros as needed, the first nonzero digit and at least three more digits. Example: • If you believe that the result is 0.0123123123, enter 0.01231 (or more digits). • If you believe that the result is 1.23123123, enter 1.231 (or more digits). Answer: Consider the function f(x)=exp(x). Let p in P2 be the interpolation polynomial for the data x-(0,1/2,1) and y= (exp(0),exp(1/2),exp(1)). Find the value | p(z)dx, and enter the result as a decimal number rounded to at least 4 significant digits, i.e. as many zeros as needed, the first nonzero digit and at least three more digits. Example: • If you believe that the result is 0.0123123123, enter 0.01231 (or more digits). • If you believe that the result is 1.23123123, enter 1.231 (or more digits). Answer:
Consider the function f(x)=exp(x). Let p in P, be the interpolation polynomial for the data x=(0,1) and y3(exp(0),exp(1)). Find the value p(x)dx, and enter the result as a decimal number with at least 4 significant digits, i.e. as many zeros as needed, the first nonzero digit and at least three more digits. Example: • If you believe that the result is 0.0123123123, enter 0.01231 (or more digits). • If you believe that the result is 1.23123123, enter 1.231 (or more digits). Answer: Consider the function f(x)=exp(x). Let p in P2 be the interpolation polynomial for the data x-(0,1/2,1) and y= (exp(0),exp(1/2),exp(1)). Find the value | p(z)dx, and enter the result as a decimal number rounded to at least 4 significant digits, i.e. as many zeros as needed, the first nonzero digit and at least three more digits. Example: • If you believe that the result is 0.0123123123, enter 0.01231 (or more digits). • If you believe that the result is 1.23123123, enter 1.231 (or more digits). Answer:
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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Need typed answer of both parts if u don't know both parts please skip
Transcribed Image Text:Two similar, but different ones.
Consider the function f(x)=exp(x). Let p in P, be the interpolation polynomial for the data x=(0,1) and y%3(exp(0),exp(1)). Find the
value
| p(æ)da,
and enter the result as a decimal number with at least 4 significant digits, i.e. as many zeros as needed, the first nonzero digit and
at least three more digits. Example:
• If you believe that the result is 0.0123123123, enter 0.01231 (or more digits).
• If you believe that the result is 1.23123123, enter 1.231 (or more digits).
Answer:
Consider the function f(x)=exp(x). Let p in P, be the interpolation polynomial for the data x=(0,1/2,1) and y=
(exp(0),exp(1/2),exp(1)). Find the value
| p(z)dz,
and enter the result as a decimal number rounded to at least 4 significant digits, i.e. as many zeros as needed, the first nonzero
digit and at least three more digits. Example:
• If you believe that the result is 0.0123123123, enter 0.01231 (or more digits).
• If you believe that the result is 1.23123123, enter 1.231 (or more digits).
Answer:
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