Answer:
0.0000000000000000..00000000000000000000000
Step-by-step explanation:
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].
- 8x + 44 ≥ 60
- 8x ≥ 60 - 44
- 8x ≥ 16
x ≤ - 2
- 4x + 50 < 58
- 4x < 58 - 50
- 4x < 8
x > - 2
Now put the two together. Logically, these two answers since a number cannot be both less than AND greater than - 2.
Your answer should be no solution.
Every day, Michael consumes 4 more ounces than the pretzels. Multiply 5 by 4 to recieve the answer:
4 x 5 = 20
So the answer is A.
