Answer:
We can have two cases.
A quadratic function where the leading coefficient is larger than zero, in this case the arms of the graph will open up, and it will continue forever, so the maximum in this case is infinite.
A quadratic function where the leading coefficient is negative. In this case the arms of the graph will open down, then the maximum of the quadratic function coincides with the vertex of the function.
Where for a generic function:
y(x) = a*x^2 + b*x + c
The vertex is at:
x = -a/2b
and the maximum value is:
y(-a/2b)
The greatest common factor of 40&10 is 10
Given:
Base area = 4π mm²
Height = 10 mm
To find:
The volume of the cylinder.
Solution:
Base of the cylinder is circle.
Area of the base = πr²
πr² = 4π
Volume of the cylinder = πr²h
Substitute 4π in place of πr².
= 4π × 10
= 40π mm³
The volume of the cylinder is 40π mm³.
