Question

@DanJS

Answer 1

k

Answer 2

That is the region bounded by the Y-axis and the curve

Answer 3

you want that area to be divided in half by a vertical line at x=a

Answer 4

a will be between -1, and 0

Answer 5

Just as a reference, a reasonable answer seems to be near around x = -0.3 maybe

Answer 6

what integral would you use to find the total area of that region?

Answer 7

integral?

Answer 8

you finished the first prob?

Answer 9

i got -.5 for the first one

Answer 10

What you could do, is first find the area of the bounded region between x=-1 and x=0 and the x axis. That will give you half of the total area, which is what you need.

Then inegrate over x=-1 to x=a of the region, which should equal half of that area

Answer 11

and you can solve for what a should be

Answer 12

i dont think it will be -0.5, more towards -0.7 or so

Answer 13

-.8?

Answer 14

i got a = about -0.37

Answer 15

seems about right, you want me to type out what i did?

Answer 16

open a new fresh thread, and i will type in the way i did it

Answer 17

okay(: