Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 10, Problem 23P

Let the function be defined on the interval [ 0 ,   2 ] as follows:

f ( x ) = { a x + b , 0 x 1 c x + d , 1 x 2 }

Determine the constants a, b, c, and d so that the function f satisfies the following:

f ( 0 ) = f ( 2 ) = 1 .

f is continuous on the entire interval.

a + b = 4 .

Derive and solve a system of linear algebraic equations with a matrix form identical to Eq. (10.1).

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