Question: Let the function be defined on the interval [0, 2] as follows: Determine the constants a, b, c, and d so that function ? satisfies

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

ax +b, 0Sx

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

(i) ? (0) = ? (2) = 1.

(ii) ??is continuous on the entire interval.

(iii) a + b = 4.

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

ax +b, 0Sx

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