The math club has 4 members. 1 of the members is 8 years old.
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Hi there!
We can calculate dy/dx using implicit differentiation:
xy + y² = 6
Differentiate both sides. Remember to use the Product Rule for the "xy" term:
(1)y + x(dy/dx) + 2y(dy/dx) = 0
Move y to the opposite side:
x(dy/dx) + 2y(dy/dx) = -y
Factor out dy/dx:
dy/dx(x + 2y) = -y
Divide both sides by x + 2y:
dy/dx = -y/x + 2y
We need both x and y to find dy/dx, so plug in the given value of x into the original equation:
-1(y) + y² = 6
-y + y² = 6
y² - y - 6 = 0
(y - 3)(y + 2) = 0
Thus, y = -2 and 3.
We can calculate dy/dx at each point:
At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.
At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.
Answer:
In Mathematics Geometry,<em> lateral face</em> is said be the side of a 3D-figure in that is not a base.
Please check the attached figure to visual the concept.
Step-by-step explanation:
In Mathematics Geometry,<em> lateral face</em> is said be the side of a 3D-figure in that is not a base.
The faces in in a prism or pyramid which are not bases are basically the lateral faces.
For example, the lateral faces are basically parallelograms in Triangular prism which are not the bases.
Please check the attached figure to visual the concept.
