3 + 5x = 5(x + 2) -7
1 answer:
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<h3>Answer:</h3>
x/tan(x) is an even function
sec(x)/x is an odd function
<h3>Explanation:</h3><em>x/tan(x)</em>
For f(x) = x/tan(x), consider f(-x).
... f(-x) = -x/tan(-x)
Now, we know that tan(x) is an odd function, so tan(-x) = -tan(x). Using this, we have ...
... f(-x) = -x/(-tan(x)) = x/tan(x) = f(x)
The relation f(-x) = f(x) is characteristic of an even function, one that is symmetrical about the y-axis.
_____
<em>sec(x)/x</em>
For g(x) = sec(x)/x, consider g(-x).
... g(-x) = sec(-x)/(-x)
Now, we know that sec(x) is an even function, so sec(-x) = sec(x). Using this, we have ...
... g(-x) = sec(x)/(-x) = -sec(x)/x = -g(x)
The relation g(-x) = -g(x) is characeristic of an odd function, one that is symmetrical about the origin.
Answer:
4.25
Step-by-step explanation:
Here in this question, we want to calculate the mean absolute deviation of the data.
The first thing we will do here is to calculate the mean;
= (74 + 79 + 76 + 85 + 87 + 83 + 86 + 78)/8 = 81
Now, the next thing to do here is to calculate how far each of the values have deviated from the mean. This can be calculated by subtracting the mean from each individual value;
This is presented in the table on the attachment, please check attachment for this
Afterwards, we find the absolute value of all these subtractions then divide by 8 which is the number of values in the data.
Mean absolute deviation = Sum of all absolute deviations/number of values in dataset
