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Q. 5

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Calculus
Found in: Page 327
Calculus

Calculus

Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Illustration

Short Answer

Approximate the same area as earlier but this time with eight rectangles is this over approximation or under approximation of the exact area under the graph

The area in between the function and x-axis is 20.5sq.units. this is an under approximation to the original area as the rectangle does not cover every portion between the function and x axis

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Given information

We are given a function f(x)=x2

Step 2: using the rectangle find the area

We have,

Also

Hence the total area can be given as

0.5+3+1.5+6+1+5+3+0.5=20.5sq.units

Also this is an under approximation to the original area as the rectangle does not cover every portion between the function and x axis.

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