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dareaalcaam111
26.07.2019 •
Mathematics
What would be the total number of outcomes in the sample space? picking a number from 1-20 and a letter from the alphabet hint: there are 26 letters in the alphabet a. 4 b. 46 c. 260 d. 520
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Ответ:
The answer is D 520.
Hope it helps.
Ответ:
There is only one value of c that satisfies the requirements.
=======================================================
Work Shown:
Let's compute the function value at the given endpoints of the interval.
Which means,
We want to find all values of c such that the derivative is 0.
This can be rephrased into wanting to solve
since the derivative of sine is cosine
In other words,
turns into ![f'(x) = 4\cos(x)\\\\](/tpl/images/0980/3475/080c2.png)
Solving that equation leads to:
Use a reference table or the unit circle to determine this.
This is the value of c that satisfies f ' (c) = 0, such that
. No other value of c works.
If you graphed f(x) = 4sin(x), and only focused on the interval [0,pi], then you'll find that there's a horizontal tangent at the point (pi/2, 4). Note how the endpoints have the same y value so that's why the average rate of change over [0,pi] is 0.
Side note: this is an application of Rolle's Theorem