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)de, 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:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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
1
| 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:
Transcribed Image Text: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 1 | 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:
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