Answer:
Radius: 7.75; Volume: 142 (rounded to 3 s.f.)
Step-by-step explanation:
The vollyball is a sphere.
The diameter of a sphere is twice as much as its radius.
Radius = 15.5 ÷ 2
= 7.75
The volume of a sphere is r² where r is the radius.
Volume = (7.75)²
= 45.046875
= 142 (rounded to 3 s.f.)
Answer:
max{x²-4x²+5} = 5 at x = 0
Step-by-step explanation:
1. Find the critical numbers by finding the first derivative of f(x), set it to 0 and solve for x.
We get:
So the critical number is x = 0.
2. Evaluate the first derivative by plugging in the critical number and see if the derivative is positive or negative on both sides:
is positive when the x < 0 (for example: -6*(-1)=+)
is negative when the x > 0 (for example: -6*(1)=-)
Therefore, you have a local maximum.
Now just get the Y value by plugging in the critical number in the original function.
local maximum is (0,5)