Question

PLEASE HELP AP CALCULUS AB
http://prntscr.com/bd35z9

Answer 1

@ganeshie8 @Preetha @Mehek14

Answer 2

@KendrickLamar2014 @jigglypuff314 @nincompoop

Answer 3

Hi

Answer 4

HI!

Answer 5

You could literally cross multiply here

Answer 6

dx(x^2) = dy(y^2)?

Answer 7

dx(x^2) = dy(0^2)
dx(x^2) = dy

Answer 8

Yes
Next integrate both sides

Answer 9

yeah then integrate both sides after you separate dx and dy then plug in the initial condition of y(0) to find C.

Answer 10

Wait integrate my first response of the second one

Answer 11

No
Integral of y^2 with respect to y is not 0

Answer 12

that side would be y^3

Answer 13

y^3/3

Answer 14

oh ok, but that would just be one side right? do we have to do the same for x?

Answer 15

Yes

Answer 16

it would be x^3/3

Answer 17

Do yoy get

x^3/3 = y^3/3 + C

Answer 18

yup so then how do we put y(0)=2?
x^3/3 = y^3/3 + C

Answer 19

Plugin
x=0
y=2

and solve C

Answer 20

0^3/3 = 2^3/3 + C
0 = 8/3 + C
C= -8/3

Answer 21

Yes

Answer 22

Thank you!

Answer 23

Yw