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!
bearing in mind that an explicit form is simply the sequence written as a function of some variables, so we simply simplify and add like-terms.
Answer: 50
Step-by-step explanation: If a dozen is 3 pounds then half a dozen would 6 which should be 1.50 lb. Now we need to know how much 1 banana weights. lets add all twelve until we have 3 pounds. 12 x 25 = 300 or 3.00 lb so we now know 2 bananas weight 50.
Answer:
Step-by-step explanation:
For the disease having force of mortality µ.
we apply exponential distribution law
probability of dying within 20 years
p( x <20) = 
= .1
= .9
For the disease having force of mortality 2µ.
we apply exponential distribution law
probability of dying within 20 years
p( x <20) = 1 - 
= 1 - ( .9)²
= 1 - .81
= .19
or 19%
