Having problems with the following question.
For the equations y=sqrt{9-x} and y=x+3
a)Find the value of x when they intersect
b)Find the area between the curves from x=-1 to x=2.
-I found a to be x=0, but i am getting b wrong, weather its my arithmetic or my steps are wrong, i don't know.
-When inputting the two functions into an integral equation, should i take them away? multiply them? or......... i have been taking them away.
If anyone could help me with this, it would be greatly appreciated, thanks.
The area you are trying to evaluate is the combined pink and blue regions.
For the pink region, is the greater function, so the area is .
For the blue region, is the greater function, so the area is .
Your required area is the sum of the resulting two answers.