a. By sketching a suitable pair of graphs, show that the equation e2x+1 =14 x 3
Question:
a. By sketching a suitable pair of graphs, show that the equation e2x+1 =14 − x3 has exactly one real root.
b. Show by calculation that this root lies between 0.5 and 1.
c. Show that this root also satisfies the equation
d. Use an iteration process based on the equation in part c, with a suitable starting value, to find the root correct to 4 decimal places. Give the result of each step of the process to 6 decimal places.
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Related Book For
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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