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1 answer:
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Answer:
N(1)=50 is a minimum
N(15)=4391.7 is a maximum
Step-by-step explanation:
<u>Extrema values of functions </u>
If the first and second derivative of a function f exists, then f'(a)=0 will produce values for a called critical points. If a is a critical point and f''(a) is negative, then x=a is a local maximum, if f''(a) is positive, then x=a is a local minimum.
We are given a function (corrected)
(a)
First, we take its derivative
Solve N'(t)=0
Simplifying
Solving for t
Only t=1 belongs to the valid interval
Taking the second derivative
Which is always positive, so t=1 is a minimum
(b)
N(1)=50 is a minimum
(c) Since no local maximum can be found, we test for the endpoints. t=1 was already determined as a minimum, we take t=15
(d)
N(15)=4391.7 is a maximum
Answer:
The relative frequency of mammals in the survey is 30%.
Step-by-step explanation:
Relative frequency is the ratio of the occurrence of a singular event and the total number of outcome
Amphibians Insects Fish Reptiles Birds Mammals
12 30 9 25 22 42
Relative frequency =
Total number of wildlife animals = 12+ 30 +9 +25+22+42 = 140
Now the relative frequency of mammals in the survey =
the relative frequency of mammals in the survey = = 0.3
Converting into percentage , we get
=
= 30 %