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
Area of the trapezoid:

Area of the rectangle:
4.2 x 3.1 = 13.02 cm^2
Area of each quarter circle:

We have two quarter circles:
7.54 + 7.54 = 15.08
41.65 + 13.02 + 15.08 = 69.75 cm^2
Answer:
2
Step-by-step explanation:
Substitute y=2x in the first equation into the second.
The second equation then becomes;
x = -(2x)+6
x = -2x+6
Collectiing like terms, more -2x to the left,
x+2x =6
3x=6
x=
x= 2
Answer:
C
Step-by-step explanation:
5 + 6 + 4 = 15
Small - 5/15 = 1/3
Large - 4/15 = 4/15
The probability that he grabs a Large-sized shirt would be 4/15, which is around 26.7%. After that, he will grab a Small-sized shirt, which would have a probability of 33.33%. After combining the two, the only answer choice that could possibly make any sense is C. (using the process of elimination.)