Make a number line and mark the points that represent the following values of x. −5≤x≤34
1 answer:
The expression −5 ≤ x ≤ 34 is an inequality expression
<h3>How to draw the number line</h3>The expression is given as:
−5 ≤ x ≤ 34
This can be split as follows:
−5 ≤ x and x ≤ 34
The inequalities used in the expression are less than or equal to.
This means that the endpoints of the inequality are inclusive of the values of x.
So, the value of x starts from -5, and it ends at 34
See attachment for the number line
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Answer:
f'(N) = a(k² - N²)/(k² + N²)
The function increases in the interval
(-k < N < k)
And the function decreases everywhere else; the intervals given as
(-∞ < N < -k) and (k < N < ∞)
Step-by-step explanation:
f(N)=aN/(k²+N²)
The derivative of this function is obrained using the quotient rule.
Then to determine the intervals where the function is increasinumber and decreasing,
The function increases in intervals where f'(N) > 0
and the function decreases in intervals where f'(N) < 0.
This inequality is evaluated and the solution obtained.
The solution is presented in the attached image.
Hope this Helps!!!
