Question

area between y^2-2x=5 and x-y=5

Answer 1

my first step was to get them both in terms of y so I have \[\frac{ 1 }{ 2 }y ^{2}-\frac{ 5 }{ 2 }\]

Answer 2

and y+5

Answer 3

I set them equal and found the intersection between the two to be -3 and 5

Answer 4

I integrated \[\int\limits_{-3}^{5}(y+5)-(\frac{ 1 }{ 2 }y ^{2}-\frac{ 5 }{ 2 })dy\]

Answer 5

and I keep getting 128/3 which is not any of my answer choices

Answer 6

@SithsAndGiggles

Answer 7

@Luigi0210

Answer 8

@jdoe0001

Answer 9

@dan815

Answer 10

Here is a plot of the figure. As you can see some of the area is below the x-axis and if you compute "blindly" will be treated as *negative* i.e. subtracted from the top area.

Answer 11

Good news/Bad news: I got 128/3

Answer 12

Your answer is correct, so you might want to talk to your teacher about this one.

out of curiosity, what are the answer choices?

Answer 13

I no longer have access to the answer choices but it says the correct answer is suppose to be 196/3