Consider the function f(x) = x e x , tabulated below: (a) Find, exactly, f(1) and f(1).

Question:

Consider the function f(x) = x e^x, tabulated below:

X 0.96 0.97 0.98 0.99 1.00 f(x) 2.5072 2.5588 2.6112 2.6643 2.7183 x 1.01 1.02 1.03 f(x) 2.7731 2.8287 2.8851

(a) Find, exactly, f´(1) and f"(1).

(b) Use the tabulated values and the formula

to estimate f´(1), for various h. Compute the errors involved and comment on the results.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 13, 2024 09:05 AM

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Consider the function f(x) = x e x , tabulated below: (a) Find, exactly, f(1) and f(1).

Question:

X 0.96 0.97 0.98 0.99 1.00 f(x) 2.5072 2.5588 2.6112 2.6643 2.7183 x 1.01 1.02 1.03 f(x) 2.7731 2.8287 2.8851 1.04 2.9424

Step by Step Answer:

Taking h 004 fxxe fxe xe e1 x fx e1x e e 2 x so f1 2e f1 f104 096 008 ...View the full answer

Modern Engineering Mathematics

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