To get the extrema, derive the function.
You get y' = 2x^-1/3 - 2.
Set this equal to zero, and you get x=0 as the location of a critical point.
Since you are on a closed interval [-1, 1], those points can also have an extrema.
Your min is right, but the max isn't at (1,1). At x=-1, you get y=5 (y = 3(-1)^2/3 -2(-1); (-1)^2/3 = 1, not -1).
Thus, the maximum is at (-1, 5).
Answer:
(x, y) = (4, -3)
Step-by-step explanation:
Relative to straight east with angles measured CCW, the vector is ...
5∠-36.9° = 5(cos(-36.9°), sin(-36.9°)) = 5(0.8, -0.6) = (4, -3)
The scale factor is 4 (10/2.5).
Each side has increased by a factor of 4. Think of it logically, if the original rectangle had sides of 1,1,1/4,1/4, the perimeter would add to 2.5. In order to get the sides to add up to 10, each of the sides would need to be multiplied by 4. Then our sides would measure 4,4,1,1 with a perimeter of 10.
Answer:
209 cars
Step-by-step explanation:
95/5=19. 19 cars is the unit rate. 19*11=209
Hello there!
To find the value of n, work to isolate it from all other terms in the equation.
8n+7=31 - Start by subtracting 7 from both sides. 8n + 7 - 7 = 31 - 7
8n = 24 Next, divide both sides by 8 to finish isolating n. 8n÷8 = 24÷8
n = 3
This is your final answer.
I hope this was helpful and have a great rest of your day!
:)
