360 degrees is a full turn, so if you multiply 30 degreed by 12, you go around in a circle.
Answer:
B. P'(-1, 0) and Q'(1, 6)
Step-by-step explanation:
Please select the best answer from the choices provided
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].
Because 5/8 + 6/10 is 49/40 and 49/40 is equal to 1 9/40