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:
3
Step-by-step explanation:
(32-20)÷4
solve perentisis first
(12)÷4
now divide
=3
Cos theta = 75/115
theta = cos^-1 (75/115)
theta = 49.2 degrees
Answer:
A. 2/9
if you divide 18 in half and devide 2 in half you get 2/9 18 shirts and only one is black leaving you with a 2/9 chance
$71 because you subtract $96 and the 25 percent off.