Question

SOMEONE PLEASE HELP! CALC PROBLEM

Answer 1

yes can you please check?

Answer 2

:(

Answer 3

you are given:\[\frac{dy}{dx}=-\frac{x}{y}\]agreed?

Answer 4

yess

Answer 5

so now we re-arrange this and integrate to get:\[\int y dy=-\int x dx\]\[\therefore\frac{y^2}{2}=-\frac{x^2}{2}+C\]agreed?

Answer 6

yess

Answer 7

you can now find C by using the fact that the point (3, -4) lies on this curve

Answer 8

you should end up with:\[C=\frac{25}{2}\]

Answer 9

your curve is therefore given by:\[\frac{y^2}{2}=-\frac{x^2}{2}+\frac{25}{2}\]multiply across by 2 and re-arrange to get:\[x^2+y^2=25=5^2\]which represents a circle centered at the origin with radius 5

Answer 10

yes :)

Answer 11

hanks(:

Answer 12

yw :)