The data in Q. 5 were generated using the following function. Use the polynomial constructed in Q.5 for the given value of x to approximate f (x), and calculate the absolute error. The function is f(x) = x2 cos(x) − 3x; approximate f(0.18). Here is Q5 for reference: Use Theorem 3.9 or Algorithm 3.3 in textbook to construct an approximating polynomial for the following data: x f(x) f′(x) 0.1 −0.29004996 −2.8019975 0.2 −0.56079734 −2.6159201 0.3 −0.81401972 −2.9734038
The data in Q. 5 were generated using the following function. Use the polynomial constructed in Q.5 for the given value of x to approximate f (x), and calculate the absolute error. The function is f(x) = x2 cos(x) − 3x; approximate f(0.18). Here is Q5 for reference: Use Theorem 3.9 or Algorithm 3.3 in textbook to construct an approximating polynomial for the following data: x f(x) f′(x) 0.1 −0.29004996 −2.8019975 0.2 −0.56079734 −2.6159201 0.3 −0.81401972 −2.9734038
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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The data in Q. 5 were generated using the following function. Use the polynomial constructed in Q.5 for the given value of x to approximate f (x), and calculate the absolute error. The function is f(x) = x2 cos(x) − 3x; approximate f(0.18). Here is Q5 for reference: Use Theorem 3.9 or Algorithm 3.3 in textbook to construct an approximating polynomial for the following data: x f(x) f′(x) 0.1 −0.29004996 −2.8019975 0.2 −0.56079734 −2.6159201 0.3 −0.81401972 −2.9734038
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