The equation (x 0.5) e 3x = 1 has a root . a. Show, by sketching

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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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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

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Question Posted: Apr 05, 2023 11:09 AM

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The equation (x 0.5) e 3x = 1 has a root . a. Show, by sketching

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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 the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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