Provide an appropriate response.Use the Intermediate Value Theorem to prove that -10x4 + 6x3 + 9x - 1 = 0 has a solution between 1 and 2.

What will be an ideal response?


Let f(x) = -10x4 + 6x3 + 9x - 1 and let y0 = 0. f(1) = 4 and f(2) = -95. Since f is continuous on  and since y0 = 0 is between f(1) and f(2), by the Intermediate Value Theorem, there exists a c in the interval (1, 2) with the property that f(c) = 0. Such a c is a solution to the equation 

Mathematics

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Plot the points with the given coordinates.A(5, -1), B(-6, 4)

What will be an ideal response?

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Mathematics