Question

easy area prob....can't get it tho

Answer 1

Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a mathematician, she suggests building fences described by and . Farmer Jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to please his wife. What is the area of the enclosed region?

Answer 2

this is my integral i used: \[\int\limits_{-1}^{1} (x^2 + 9 ) - (9x^2) dx\]

I thought it was outer minus inner but not sure....

Answer 3

@freckles @zepdrix could either of you help me please :)

Answer 4

`described by and .`

The paragraph didn't past correctly.
Is your integral correct?

Answer 5

paste*

Answer 6

i was just fixing to say something about that part

Answer 7

sorry let me fix that!

Answer 8

she suggests building fences described by y=9x^2 and y=x^2+9. Farmer Jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to please his wife. What is the area of the enclosed region?

Answer 9

you got this one freck? :) i gotta take care of something

Answer 10

how did you find your lower and upper bounds?

Answer 11

graphed it

Answer 12

are they not right?

Answer 13

no

Answer 14

you want to find the intersections of the two curves

Answer 15

to do that you need to find when y=9x^2 is the same as y=x^2+9

Answer 16

to do that you need to find when 9x^2=x^2+9

Answer 17

ok let me see

Answer 18

you will get something extremely close to -1 and 1

Answer 19

but not exactly -1 and 1

Answer 20

ok it is 1.0606

Answer 21

well if you want the exact form:
\[x^2+9=9x^2 \\ 9=(9-1)x^2 \\ \frac{9}{(9-1)}=x^2 \\ \frac{9}{8}=x^2 \\ x=\pm \sqrt{\frac{9}{8}}\]

Answer 22

ok i got it! haha thank u so much. it came out to be 12.727

Answer 23

that is a really close answer
and is right if you are allowed to approximate