The cylinder is symmetric across the plane

, so we need only consider half of the cut-out region.
This region can be parameterized by

with

and

. Then the area of this half is given by the surface integral



Doubling this gives a total area of 72.
Answer:
Normal; increases.
Step-by-step explanation:
In Statistics and probability, a student t-distribution also known as the t-distribution refers to the continuous probability distribution which can be used to estimate population parameters when the population variance or standard deviation is not known (unknown) and the sample population is relatively small. The student t-distribution is a statistical distribution which was published in 1908 by William Sealy Gosset.
The t-distribution approaches the normal distribution as the sample size increases because the parameters becomes negligibly smaller.
This ultimately implies that, when the degree of freedom of a t-distribution curve is increased in comparison with that of a normal distribution, the value of probability becomes significantly similar.
Step-by-step explanation:
Given
f(x) = 1/3x + 13
f^-1(x) = ?
Now
Let y = f(x)
or y = 1/3x + 13
Interchanging the role of x and y
x = 1/3y + 13
x - 13 = 1/3y
y = <u>x </u><u>-</u><u> </u><u>1</u><u>3</u>
3
Therefore f^-1(x) = <u>x </u><u>-</u><u> </u><u>1</u><u>3</u><u> </u>
3
Hope it will help you.
Answer:
standard deviation
Step-by-step explanation:
The standard deviation is defined as the measure of how spread out the numbers are in a given population. In other words, statistics refers to the amount of the dispersion or variation of a set of given values.
It is denoted by the Greek letter sigma, σ.
Thus the standard deviation is the measure of how dispersed the data are in the population which can be used to provide context to a larger data sets.
Answer:
Step-by-step explanation:
I think he has used a proximetly 24 hours of the batteriey