A <u>formula</u> is a mathematical statement that calculates a value and each formula must always begin with an equal sign. A formula is used to express the mathematical relationship, information and rules symbolically and concisely. It basically summarizes the solution to a problem.
Answer:
They multiplied the exponents instead of adding.
Step-by-step explanation:
Essentially, 2^2 x 2^3 is (2)(2) x (2)(2)(2) which is 5, not 6
I'm assuming a quarter-circle is exactly 1/4 of a circle. Thus if you have 4 congruent quarter-circles, that should mean they make a complete circle.
If that is the case, then we can find the area of the full circle using pi*r^2.
So the area of the circle is 5^2*pi or 25pi.
To find the area of the shaded region, we subtract the area of the circle from the area of the square.
The area of the square is 10^2 or 100.
So the area of the shaded region is 100 - 25pi.
My calculator says that equals roughly 21.46
Answer:
Required largest volume is 0.407114 unit.
Step-by-step explanation:
Given surface area of a right circular cone of radious r and height h is,
and volume,
To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,
subject to,
We know for maximum volume 
. So let 
be the Lagranges multipliers be such that,
And,
Substitute (3) in (2) we get,
Substitute this value in (1) we get,
Then,
Hence largest volume,
B. Yes it's an exponential function because the y is increasing rapidly without a constant rate of change
