Given two numbers x and y such that:
x + y = 12 ... (1)
<span>two numbers will maximize the product g</span>
from equation (1)
y = 12 - x
Using this value of y, we represent xy as
xy = f(x)= x(12 - x)
f(x) = 12x - x^2
Differentiating the above function:
f'(x) = 12 - 2x
Maximum value of f(x) occurs at point for which f'(x) = 0.
Equating f'(x) to 0 we get:
12 - 2x = 0
2x = 12
> x = 12/2 = 6
Substituting this value of x in equation (2):
y = 12 - 6 = 6
Therefore, value of xy is maximum when:
x = 6 and y = 6
The maximum value of xy = 6*6 = 36
I THINK ITS C.135 DEGREES
Answer:
-7-2
Step-by-step explanation:
Answer:Number Sets. There are sets of numbers that are used so often they have special names and symbols: ... The numbers you can make by dividing one integer by another (but not dividing by zero). In other words ... If you square a real number you always get a positive, or zero, result. ... x + 7 = 0, x = −7, Integers, set integer.
Step-by-step explanation:
You are right. Transitivity means, that:
if a = b and b = c, then a = c
(here a = x, b=5 and c = y).
