a. By sketching a suitable pair of graphs, show that the equation e2x+1 =14 x 3

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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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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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a. By sketching a suitable pair of graphs, show that the equation e2x+1 =14 x 3

Question:

X = In(14-x-³) -1 2

Step by Step Answer:

a Let us sketch the graphs of ye2x1 and y14x3 We see that the graphs intersect at ...View the full answer

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

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