Critical points is where the derivative (slope) is zero or does not exist. So to do this we have to find the derivative of our function:
So we apply chain rule:
=
Set our first derivative to zero and solve for x:
3(x^2 - 1) * 2x = 0
So we can see that (by plugging in) 0, -1 and 1 makes our solution true
So our critical value is x = 0, x = -1, x = 1
It is direct variation if x/y is a constant.
x/y = 2 / -6.6 = -1/3.3
y/x = -9.9/3 = -3.3
y/x = -6.6/ 2 = -3.3
y/x = -13.2/ 3 = -3.3
y/x = -16.2/ 3 = -3.24
So its not exactly direct variation as the last values is slightly different from the first 3.
-2/3 - 5/6
We need common denominators so, since 3 can go into 6, we only need to multiply the first fraction by 2.
= -2 x 2 / 3x2 - 5/6
= -4 / 6 - 5/6
We only subtract the numbers that are in the numerators,
= -4-5 / 6
= -9/6
Both nine and six are divisible by 3, so to put into lowest terms...
=-9÷3 / 6÷3
= -3/2 <--- Final Answer
Answer:
13000 milliliters
Step-by-step explanation:
1 liter = 1000 milliliters
13 liters = 13000 milliliters
96 pints, because 1 gallon equals 8 pints, so 12 X 8 equals 96.