The lowest time interval for which it is guaranteed that A(t) = 400 is 70 ≤ t ≤ 90.
<h3>What is Intermediate value theorem?</h3>
- The intermediate value theorem in mathematics states that any value between f(a) and f(b) at some point within the interval can be assigned to f if it is a continuous function whose domain contains the interval [a, b].
- This theorem is used to demonstrate that a point can exist below or above a specific line. It can also be used to determine if a function is continuous or not by analyzing its continuity.
<h3>Calculation of time interval:</h3>
Because, A is diffrentiable, A, is continuous.
A(70) = 250<400<405 = A(90)
By the Intermediate Value Theorem, there must be at least one time t, for 70 ≤ t ≤ 90, such that A(t) =400.
Hence, the shortest time interval during which it is guaranteed that A(t)=400 is 70 ≤ t ≤ 90.
Learn more about intermediate value theorem here:
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The description of "hertz" develops the idea of sounds of very low tones and frequencies that elephants can hear, which is explained in "Incredible Animal Ears."
Explanation:
In "Incredible Animal Ears" we are presented with an explanation of how elephants have the incredible ability to hear sounds with extremely low pitch and frequency and promote communication between them, even emitting signs of socialization and danger. This frequency and tone of the sounds are measured by the hertz, which are explained in "Animal Sounds" which shows how the variation of tones is important in animal communication.
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Explanation: The study of language and how it is a part of culture. It especially refers to the way language influences culture and the culture of language in itself.
The two achievements of the Tigris-Euphrates River Valley Civilization are building the temple and the invention of the wheel.
C is the answer, southern plantation owners used slaves to do free labor, by removing them they would have to hire a worker and lose money, so they did not support freeing the slaves.
