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2 years ago

Exercise 1

Mathematics

1 answer:

Brrunno [24]2 years ago

7 0

Answer:

Shade in 25 squares yellow. Next shade in 30 squares green. Then shade the remainder of the squares red. For the key, Empire will be yellow and the ratio would be 25/100 or 1/4. For McIntosh, that is the green and the ratio is 30/100 or 3/10. Finally, for Fuji, that is the red and the ratio will be 45/100 or 7/20.

Step by Step Answer:

25 for Empire because it says 25 acres. 30 for McIntosh because 30% of 100 is 30. To find Fuji, you add the 25 and 30 to get 55. You then subtract the 55 from 100 to get 45.

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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.

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