Answer:
Domain:
(
−
∞
,
2
]
,
{
x
|
x
≤
2
}
Range:
[
0
,
∞
)
,
{
y
|
y
≥
0
}
Multiply the total land he owns by the land that is fenced. So he has 8/15 acres of land fenced.
Therefore the solution is 8/15 acres.
Answer:
The answer is (d)= Selecting a simple random sample from each of a given number of strata formed from the elements in the population.
Stratified random sampling is a sampling method where the population has a number of distinct categories. The population can be organized into separate strata and each stratum is then sampled as an independent sub-population out of which individual elements can be randomly selected. In this case, each unit in a stratum, that is, each element in a group has the chance of being selected into the sample and there is adequate representation of minority sub-groups. With Stratified sampling, the best result occurs when elements within strata are internally homogeneous.
Step-by-step explanation:
Answer:
12.15 for number 1
Step-by-step explanation:
<span> by taking integral we get
integral sec(x) (tan(x)+sec(x)) dx
applying integral we get
sec(x) (tan(x)+sec(x)) gives sec^2(x)+tan(x) sec(x)
= integral (sec^2(x)+tan(x) sec(x)) dx
Integrate the sum term by term
= integral sec^2(x) dx+ integral tan(x) sec(x) dx
For the integrand tan(x) sec(x), now we will use substitution
substitute u = sec(x) and du = tan(x) sec(x) dx
= integral 1 du+ integral sec^2(x) dx
The integral of sec^2(x) is tan(x)
= integral 1 du+tan(x)
The integral of 1 is u
= u+tan(x)+constant
Substitute the value of u which is equal to
= sec(x):
so our conclusion is
:tan(x)+sec(x)+constant
hope this helps</span>
