-5 is the numerical pattern
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!
To simplify an expression you need to combine like terms.
In the given equation, there are two like terms, 5r and 9r.
There is a plus sing in front of each one, so add those together: 5r + 9r = 14r
There are no ther like terms so the simplified expresssion becomes:
8w + 14r - t
363 gallons of water is in Tank A
<em><u>Solution:</u></em>
Water tank A has a capacity of 550 gallons and is 66% full
Let, w = 550
p = 66 % = 0.66
The percent equation is: a = p . w
where,
"a" is the gallons of water in Tank A
p is the percent in fraction or decimal form
w is the capacity of tank A
Therefore,
Thus 363 gallons of water is in Tank A