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].
5. It is a 5/9 chance he will pick 2 pair of pants. There are 5 pants and 9 in total (clothes and pants)
7. It is a 3/9 chance he will pick 2 items that are black. There are only 3 things that are black and the rest are other colors.
8. It is a 2/9 chance he will pick a pant and a shirt that is white. There is 1 white pants and 1 white shirt.
That is all I know. Number 6 kind of confuses me. Hope I helped!!!
8 divided by 2 is 4, so multiply 3/4 by 2, 6/8, than you have your answer, 6.
Base x height of each of the blocks and then add them together.
To know how many liters of water Bao use per liter of flour we have to divide the liters or flour so:
So Bao uses 0.33 or 1/3 of water per liter or flour
and to know hoy manu liters of flour Bao use per liter of water we have to made the oposite division so:
She use 3 liters of flour per liter of water
