The diagram shows part of the curve y cos 3 x, where x is in radians The shaded region between the curve, the axes and the line x is denoted by R The area of R is equal to 0 3 a Using the substitution Hence show that b Use the iterative formula with 1 0 2, to find the value of correct to 3 signific...

a To find cos x dx using the substitution sin x we first need to ex ...

The diagram shows part of the curve y = cos 3 x, where x is in radians.

Question:

The diagram shows part of the curve y = cos³ x, where x is in radians. The shaded region between the curve, the axes and the line x = α is denoted by R. The area of R is equal to 0.3.

a. Using the substitution

Hence show that

b. Use the iterative formula

with α₁ = 0.2, to find the value of α correct to 3 significant figures. Give the result of each iteration to 5 significant figures.

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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: Mar 28, 2023 03:26 AM

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The diagram shows part of the curve y = cos 3 x, where x is in radians.

Question:

y R ge Urersity 8 -B/6 - Elm X

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a To find cos x dx using the substitution sin x we first need to ex...View the full answer

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

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