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
6y^2. Since they are like terms it works like normal so 24/4=6
Answer:depends on how large. It is still a ratio of 3.5 to 2
Step-by-step explanation: this means if you use 4 green paints then you must use 7 cups of blue to make that same shade of green but two times the size.
The radical form using the formula a x/n =n<span>√a^x
5</span><span>√b </span>
Answer:
4.5 km
10.3 km
Step-by-step explanation:
The shortest distance from gymnasium to library:
Each square box representing 1 unit
1unit = 1 km
A.)
Distance, d ;
Using Pythagoras :
d = sqrt(2² + 4²)
d = sqrt(4 + 16)
d = sqrt(20)
d = 4.47
d = 4.50 (nearest tenth)
Shortest Distance from gymnasium to library
B.)
shortest distance from his house to the gymnasium, then the shortest distance to the library
House to gymnasium (d1) :
d1 = sqrt(3² + 5²)
d1 = sqrt(9 + 25)
d1 = sqrt(34)
d1 = 5.83
Gymnasium to Library (d2) :
d2 = sqrt(2² + 4²)
d2 = sqrt(4 + 16)
d2 = sqrt(20)
d2 = 4.47
Total distance = (d1 + d2) = (5.83 + 4.47) = 10.3km