Question

Who can help me find area between curves?

7x+y^2=8
x=y
i dont know how to approach this one.

Answer 1

the area between 2 objects can be found by subtracting the area of one from the other

Answer 2

we need to know, or determine, where these "curves" are the same; where they cross at

Answer 3

it might be better to read if we use "x" is the dependant variable

Answer 4

i cant really see away to help you thru this if you aint gonna participate :/

Answer 5

sorry, i was waiting and went to eat, now im back, and i know that i need to subtract area from of 1 from another, but how do i know the enclosed region?

Answer 6

the enclosed region is where the curves meet and "enclose" the area

7x + y^2 = 8
x =y ; solve this system of equations, perhaps
by multiplying the bottom by -7

7x + y^2 = 8
-7x = -7y
---------------
y^2 = 8-7y ; +7y and -8
+7y -8 -8 +7y
------------------
y^2 +7y -8 = 0

factor and solve for y

Answer 7

thanks, y =-1 ; y=8

Answer 8

oppps, missed signs, -8,1

Answer 9

good :)

so we integrate each equation from -8 to 1; and subtract one from the other. if you end up with a negative it just means you subtracted in the wrong order .... take the absolute value of the result and youll be fine

Answer 10

since x=y is already in good form, lets modify the other one to match it up

7x + y^2 = 8

x = (8 - y^2)/7

Answer 11

now that everything is speaking in terms of "y"; the integration does easier