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Deepti Joshi Grade:
        

find the area bounded by curves xy=2 and y=4 and 4y =x*x

7 years ago

Answers : (1)

Hari Krishna
31 Points
										

First we caluculate the intersection points of the given Equations.


y=2/x and y=4   intersection point is x=1/2


y=4 and y=x^2/4 inter section point is x=4


y=2/x and y=x^2/4 intersection point is x=2


We use definite integration for finding the area of the graphs.


first


A1=    integral 1/2 to 2 (2/x)=ln8


 A2=   integral 2 to 4 (x^2/4)=14/3


 A3=   integral 1/2 to 2 (4)=6


A4=    integral 2 to 4  (4)=8


A5=A3-A1=6-ln8


                =6-2.079


                =3.921


A6=A4-A2


    =8-(14/3)


    =10/3


    =3.33


Therefore the area between the given equations is A5+A6=3.921+3.33


                                                                         =7.25 square units.


To understand this problem draw the graphs of equations.


Regards to you.Happy learning.


Hari krishna.

6 years ago
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