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!
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:in the picture
Answer:
<em>Sam and Jesse can wash </em><em>70 cars</em><em> in 2 days.</em>
Step-by-step explanation:
Sam and Jesse can wash 5 cars each hour or in one hour both Sam and Jesse can wash 5 cars.
They work for 7 hours each day over 2 days. So the total number of hours that they worked is hours.
Hence, in 14 hours Sam and Jesse can wash,
Therefore, working both Sam and Jesse can wash 70 cars in 2 days.