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:
d. 23
Step-by-step explanation:
x: small hat
y: medium hat
z: large hat
We now write the system of equations:
x + y + z = 47
5.50x + 6y + 7z = 302
-3x + y = 0
We can write the system in matrix form as:
Ax = b
Where,
A = [1 1 1; 5.50 6 7; -3 1 0]
b = [47; 302; 0]
x = [x; y ; z]
Solving the system we have:
x = 6
y = 18
z = 23
hope this helps
correct me if this is wrong
If you are looking to simplify these equations, here is how you would go about doing so.
7w(-8+3w)
Use a property called the Distributive Property, which means multiplying the number outside of the bracket by each number inside of the brackets.
Here is how this would look:
7w(-8+3w)
-56w+21w²
Now,
6q(-4+8q)
-24q+48q²
Hope this helps.
Answer:
1.) the student got 16 questions correct
2.) 81% showed up
3.)75%
Answer:
29
Step-by-step explanation:
add 23 to cancel the negative then add 6 to get the final answer
