Answer:
is d
Step-by-step explanation:
Answer:
Step-by-step explanation:
y = kx ;
k =
; x =
~~~~~~~~~~~~~
<em>k </em>=
÷ 1 =
=
× ( - 8 ) = - 4
=
× ( - 4 ) = - 2
=
× 2 = 1
=
÷
=
= -
÷
= -
= 0
( x , y ) : ( - 8 , - 4 ), ( - 4 , - 2 ), ( 2 , 1 ), ( 1 ,
), (
,
), ( -
, -
), ( 0 , 0 )
Answer:
![\frac{dy}{dx} =-\sqrt[3]{\frac{y}{x} }](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D-%5Csqrt%5B3%5D%7B%5Cfrac%7By%7D%7Bx%7D%20%7D)
Step-by-step explanation:
Recall that using the chain rule we can state:

and therefore solve for dy/dx as long as dx/dt is different from zero.
Then we find dy/dt and dx/dt,
Given that

And similarly:

Therefore, dy/dx can be determined by the quotient of the expressions we just found:
now notice that we can find
from the expression for y,
and
from its expression for x.
Therefore dy/dx can be written in terms of x and y as:
![\frac{dy}{dx} =-\frac{cos(t)}{sin(t)}=-\sqrt[3]{\frac{y}{x} }](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D-%5Cfrac%7Bcos%28t%29%7D%7Bsin%28t%29%7D%3D-%5Csqrt%5B3%5D%7B%5Cfrac%7By%7D%7Bx%7D%20%7D)
Answer: 6√2
Step-by-step explanation:
8 × 9 is 72.
8 can be simplied to 4 × 2.
And 4 can be simplified to 2 × 2.
So far there are three 2s and a 9.
9 can be simplified down to 3 × 3.
Theres a pair of 2s and a pair of 3s, so you multiply 2 × 3 and thats 6 so you put 6 on the outside of the radical. Theres one 2 leftover from all the simplifying so that goes inside the radical to give you 6√2