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
![f(x)=ln(x)](https://tex.z-dn.net/?f=f%28x%29%3Dln%28x%29)
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:
Step-by-step explanation:
Volume of the larger cube = 36 * volume of the smaller cube
= 36 *1
= 36 cubic meter
A triangle, it might be an obtuse
Since the probability of the coin landing leads is 1/2, simply cube 1/2 to arrive at your answer: 1/8.
You cube 1/2 because you must land heads three times in a row and each flip is independent from other flips.