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!!!
This equation is in vertex form. Vertex form is y=a(x-h)^2+k, where (h,k) is the vertex. In this equation, h= -3, and k= -4. So, the vertex would be at (-3,-4). A tells us if the parabola will be positive or negative. In this case, it is positive, so the parabola opens upward. Then, you can solve for x-intercept by letting y=0 and solving for x. Then, you can find the y-intercept by setting x=0 and solving for y. Finally, graph the parabola.
Answer:
c. Independent measures; Factorial (two-way) ANOVA
Step-by-step explanation:
The answer to this question is the independent measures one way ANOVA. This is as we have these conditions light on or off and cold or warm room. Now we have to check how these factors are able to affect the amount of food pellets eat whenever they are in these experimental conditions.
option c is the correst answer. A factorial or two way anova is one with more than one factor or explanatory variable.
MP3 players in the shipment which are likely to be defective is 330.
Step-by-step explanation:
• Probability is event of an occurrence which is uncertain.
• Probability always lies between 0 to 1.
• The sample of 50 MP3 has 6 defective, to solve it has to be converted.
• Convert percentage in 100 multiply numerator and denominator by 2.
• Result is 6/50 converted to 12/100, bring it to 0.12%.
• 12% is defected in 100% of sample.
• It is found here that 2750 is the population and 12% of 2750.
• 2750 * 0.12 = 330, defective pieces in 2750.
• There are three types of Classical,Empirical or Experimental.
• Classical are ‘n’ number of events find the probability occurrence.
• Empirical or experimental is purely based on events.
