Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)
If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.
On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.
For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.
Then the range of F(x) is the interval [-π, π].
Answer:
how to reduce (simplify) fraction 272/3 to lowest terms? Write it as an improper fraction, a mixed number, a decimal number, a percentage
Step-by-step explanation:
5x+4y= $35
x= daisies and y=roses
3x+6y=$39
Start with the first sentence, and the definition of the area of a rectangle:
l * w = 36
Rewrite the equation to get
l = 36 / w
or
w = 36 / l
Either one shows the inverse relationship between w and l.
Assuming the last part wants you to write an equation for an x-y graph, the equation would be
y = 36 / x
<span>Standard deviation is defined as the quantity which expresses by how much the members of a group is different from the mean value for the group.
</span>
The sample standard deviation with a <span>sample variance of hourly wages 10 will be $3.16.
Explanation:
</span><span>The standard deviation is the square root of the variance.
Therefore,
The square root of 10 dollars can be calculated as:
</span>√10 = $3.16
