A library buys 36 English books, 48 Science books and 72 Mathematics books. The thickness of each book is the same. Now, the lib
2 answers:
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Answer:
Yes, the function satisfies the hypothesis of the Mean Value Theorem on the interval [1,5]
Step-by-step explanation:
We are given that a function
Interval [1,5]
The given function is defined on this interval.
Hypothesis of Mean Value Theorem:
(1) Function is continuous on interval [a,b]
(2)Function is defined on interval (a,b)
From the graph we can see that
The function is continuous on [1,5] and differentiable at(1,5).
Hence, the function satisfies the hypothesis of the Mean Value Theorem.
Answer:
The water level is falling.
The initial level of water in the pool was 3,500 units
The water was 2,600 units high after 4 hours.
Step-by-step explanation:
The given function that models the water level is
where represents time in hours.
The function represents a straight line that has slope
Since the slope is negative, it means the water level is falling.
The initial level of water in the pool can found when we put into the function.
, hence the initial level is 3,500.
To determine the level of water in the pool after 14 hours, we put into the equation to get;
To determine the water level after 4 hours we put