Answer:
dy/dx = ( 2x - y^2 - 1) / (3y^2 + 2xy + 1).
Step-by-step explanation:
Cross multiply:
x^2 = (x + y)(y^2 + 1)
Using the Chain and Product rules:
Finding the derivative:
2x = (x + y)(2y dy/dx) + (y^2 + 1)(1 + dy/dx)
2x = 2xy dy/dx + 2y^2 dy/dx + y^2 + y^2 dy/dx + 1 + dy/dx
2xy dy/dx + 2y^2 dy/dx + y^2 dy/dx + dy/dx = 2x - y^2 - 1
3y^2 dy/dx + 2xy dy/dx + dy/dx = 2x - y^2 - 1
dy/dx = ( 2x - y^2 - 1) / (3y^2 + 2xy + 1).
Answer:
(2y + z)(3x - 2)
Step-by-step explanation:
If you think about how it works when cups are stacked. you will begin with the height of the cup plus the height of the lip you would then add just the heigt of the lips until you get to the height needed. so your answer should be 19 cups
There are two possibilities.
'Q' could be at +20, or it could be at -6 .
Yes, that like will divide the side in proportion