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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Question

I really need your help, just want a guide or like a script type how to explain this on class each part. Into bullet form. Thank youuu so much!

FIND THE AREA OF THE REGION BOUNDED BY THE LOOP OF ysx C5- x)2
ya. x(5-x)2
when :
x=0
then :
y -0
x 5
(0,0)
USE VERTICAL ELEMENT METHOD :
y2 = x C5- x) 2
y- t J* (5-x)
•2" (5c5-x) -0) dx
2 2(5)9/2 (R5 - 3 (5)
15
* 2 (x"3) (5-x) dx
2(5)(5)V² (10)
%3D
45
200 C5)"²
/2
dx-
3/2
dx
15
A = 4015
10 x 3/2
75
2x 5/2
3
50 x
3/2
6x 5/2 75
15
3/2
= 2
2 x
5
(25 - 3x)
15

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