Is the answer 0 for this problem? Sketch region enclosed by the given curves and find its area. y=sqrt(x-1) , x-y=1

Question

zepdrix · Answer

no

mathmale · Answer

Have you tried sketching y=cos x?  y=2-cos x?  If not, that'd be a good place to start.  You need worry only about sketching these graphs on the interval [0,2pi].   Perhaps the two graphs will enable to you to decide for yourself whether the area between the two given curves is 0 or not.

mony01 · Answer

yea i graphed it already i am just having trouble putting it in an integral form

zepdrix · Answer

We substract the lower function from the upper, and then integrate to find the area between them.

Which function is the lower one? :o

zepdrix · Answer

Which function is the lower one?  Based on the graph that you have*

mony01 · Answer

cos x

zepdrix · Answer

Ok good.

zepdrix · Answer

|dw:1391832028340:dw|If we subtract the lower function, that gives us the length of this distance.