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:
x = 81/4
Step-by-step explanation:
multiply both sides by 4
4x + 15 = 96
subtract 15 from both sides
4x = 81
divide both sides by 4
x= 81/4
i hope that's right
The actual factor is 6(x + 1)(x^2 - x +1).
Answer:
110 degrees
Step-by-step explanation:
Parallels lines, when intersected by a straight line, form congruent angles. Therefore 110 is equal to angle 6
Answer:
What statement??? I don't see one to re-write.
Step-by-step explanation:
