Answer:
The x-coordinate is \dfrac{\pi}{6}[/tex].
Step-by-step explanation:
We are given a function f(x) as:

Now on differentiating both side with respect to x we get that:

When 
this means that 
Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval
.
also we know that
----(1) (which lie in the second quadrant)
so on comparing our equation with equation (1) we obtain:

Hence, the x-coordinates where
for
is
.
Should be 18x^4-12x.
Let me know if you want more of an explanation.
You would have to watch 62 3D movies to make an annual pass the less expensive option out of the two of them.
62x25 = 1550
The approximate solution to the given system of equations, considering the graph, is given as follows:
D.
.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
On a graph, the solution of a system of equations is given by the intersection between the curves. In this graph, the intersection of the two curves happen close to x = -3.25, y = 2.5, hence the solution is approximated by:
D. 
More can be learned about a system of equations at brainly.com/question/24342899
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Answer: 0.0187
Step-by-step explanation:
The binomial distribution formula for probability :-
, where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.
Given : The probability that the physics majors belong to ethnic minorities =0.33
Number of students selected : n= 8
Now, the probability that more than 5 belong to an ethnic minority :-

Hence, the probability that more than 5 belong to an ethnic minority = 0.0187