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Mathematics, 20.06.2020 22:57 BrianKeokot7700

g For some numbers a, b and c, let f be the function of one variable given by f(x) = ax2 + bx + c px, for x 0. Given that f(1) = 2, f0 (1) = 1, Z 1 0 f(x) dx = 3, show that the following system of equations holds: a + b + c = 2 4a + 2b + c = 2 2a + 3b + 4c = 18. Use row operations to solve this system to find a, b and c.

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