Given:
Consider the given function is:
To find:
The average rate of change of the function over the interval .
Solution:
The average rate of change of the function f(x) over the interval [a,b] is:
We have,
At ,
At ,
Now, the average rate of change of the function f(x) over the interval is:
Therefore, the average rate of change of the function f(x) over the interval is -3.
Answer:
V=1884 Cubic mm
Step-by-step explanation:
We know that the volume of the Sphere is given by the formula
Where r is the radius and h is the height of the cylinder
We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.
Where
is the the volume of solid cylinder with radius
and height h
is the volume of the cylinder being carved out with radius
and height h
where
mm ( Half of the bigger diameter )
mm ( Half of the inner diameter )
mm
Putting these values in the formula for V we get