Consider the function f(x)=exp(x). Let p in P, be the interpolation polynomial for the data x=(0,1) and y=(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:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
1
| P(z)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:
Transcribed Image Text: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 1 | P(z)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:
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