Answer:
180/7 or 25 5/7
Step-by-step explanation:
20/3 * 27/7
cross multiply 3 and 27, 20/1 * 9/7 is left. Then, cannot simplify anymore.
So the answer come out.
180/7 or 25 5/7
The volume of a cube = length x width x height. Since they told us this box has a square base, the length and width are both 18 inches.
V = 18 x 18 x 16
V = 5184 cubic inches or in^3
Answer:
Therefore the angle of intersection is 
Step-by-step explanation:
Angle at the intersection point of two carve is the angle of the tangents at that point.
Given,

and 
To find the tangent of a carve , we have to differentiate the carve.

The tangent at (0,0,0) is [ since the intersection point is (0,0,0)]
[ putting t= 0]

Again,

The tangent at (0,0,0) is
[ putting t= 0]

If θ is angle between tangent, then






Therefore the angle of intersection is
.
Answer:
<h2>36</h2>
Step-by-step explanation:

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!