Question: The equation (x 0.5) e 3x = 1 has a root . a. Show, by sketching the graph of y = e 3x and

The equation (x − 0.5) e^3x = 1 has a root α.

a. Show, by sketching the graph of y = e^3x and one other suitable graph, that α is the only root of this equation.

b. Use the iterative formula x_h+1= e^-3xⁿ with x₁ = 0.5 to find the value of α correct to 2 decimal places. Give the value of each of iterations to 4 decimal places.

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a To show that is the only root of the equation we can sketch the graphs of y x 05e3x and y 1 and ... View full answer

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