Question
Find the area of the following two curves.
y= sqrt(x)
y= x-2
Note: People have been telling me that the two lines do not intersect but they do there has to be an answer. please help me.
Thanks
y= sqrt(x)
y= x-2
Note: People have been telling me that the two lines do not intersect but they do there has to be an answer. please help me.
Thanks
Answers
JIm
The lines do intersect.
sqrt(x) = x-2
x =(x-2)^2 =x^2-4x + 4
x^2-5x+4=0
(x-1)(x-4)=0
x=1,4 but 1 does not work if you plug in x=1 to both equations, so the only answer is x=4.
sqrt(x) = x-2
x =(x-2)^2 =x^2-4x + 4
x^2-5x+4=0
(x-1)(x-4)=0
x=1,4 but 1 does not work if you plug in x=1 to both equations, so the only answer is x=4.
Reiny
Jim, they do intersect at one point only, thus creating an open region on the left.
By squaring you are introducing a part of the graph which was originally undefined.
y = √x is defined only for x ≥ 0
Mia:
Both Steve and I gave answers to this earlier
http://www.jiskha.com/display.cgi?id=1398476046
Are you finding the area between the two curves from the y-axis to the point (4,2) ?
That looks straightforward and should pose no problems for you.
However, you did not say that.
By squaring you are introducing a part of the graph which was originally undefined.
y = √x is defined only for x ≥ 0
Mia:
Both Steve and I gave answers to this earlier
http://www.jiskha.com/display.cgi?id=1398476046
Are you finding the area between the two curves from the y-axis to the point (4,2) ?
That looks straightforward and should pose no problems for you.
However, you did not say that.