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].
The answer that you have is most likely right, since the grouping did not change.
Turn the percentage into a decimal.
6% = 0.06
Multiply.
990 * 0.06 = $54.9 (sales tax)
Add.
990 + 54.9 = $1,049.40 (total price)
Best of Luck!
Answer:
x = 72
Step-by-step explanation:
These angles are complementary so they add up to 90:
x + 18 = 90
x = 90 - 18
x = 72
