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 ![cos(t) = \sqrt[3]{y}](https://tex.z-dn.net/?f=cos%28t%29%20%3D%20%5Csqrt%5B3%5D%7By%7D)
from the expression for y,
and ![sin(t) = \sqrt[3]{x}](https://tex.z-dn.net/?f=sin%28t%29%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
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:
<h2>
8.54 units</h2>
Step-by-step explanation:
Given,
Perpendicular ( p ) = 8 units
Base ( b ) = 3 units
Hypotenuse ( h ) = ?
Using Pythagoras theorem:
plug the values
Evaluate the power
Calculate the sum
Squaring on both sides
Calculate
units
Hope this helps..
Best regards!
Answer:
Equal to!
Step-by-step explanation:
2 x 1.08 is 2.16
(1.08/100) x 200 = 2.16
2.16 = 2.16
Questions 5 and 6. You happy
Answer:
2(a+b) + (x-y)
Step-by-step explanation:
2(a+b) + (x-y)
it's only the answer according to the question .
