Answer:
11.4
Step-by-step explanation:
The formula tells you
.. V = constant * T/P
That is, volume is proportional to absolute temperature and inversely proportional to pressure.
When temperature increases from 273 K to 300 K, volume is increased by the factor 300/273.
When pressure increases from 2 atm to 3 atm, volume is changed by the factor 2/3.
The new volume will be
.. (10 L) * (300/273) * (2/3) = 2000/273 L ≈ 7.3 L
The inital value would be different. in 5x+9 it would cross the yaxis at 9 and the other at 6
Answer:
Exponential Growth
Step-by-step explanation:
The growth value is a positive number. So that mean's it's growing by 5%.
Answer:
Step-by-step explanation:
Given a curve defined by the function 2x²+3y²−4xy=36
The total differential of this function with respect to a variable x makes the function an implicit function because it contains two variables.
Differentiating both sides of the equation with respect to x we have:
4x+6ydy/dx-(4xd(y)/dx+{d(4x)/dx(y))} = 0
4x + 6ydy/dx -(4xdy/dx +4y) = 0
4x + 6ydy/dx - 4xdy/dx -4y = 0
Collecting like terms
4x-4y+6ydy/dx - 4xdy/dx = 0
4x-4y+(6y-4x)dy/dx = 0
4x-4y = -(6y-4x)dy/dx
4y-4x = (6y-4x)dy/dx
dy/dx = (4y-4x)/6y-4x
dy/dx = 2(2y-2x)/2(3y-2x)
dy/dx = 2y-2x/3y-2x proved!
