subject
Mathematics, 21.10.2020 16:01 calraezaj2020

The population of koalas in a particular area varies according to the rule N(t) = 1000 + 200cos(\frac{πt}{3})
where N is the number of koalas and t is the number of months after 1 Jan 2013.
a. Find the amplitude and the period of the function N(t).
b. Find the maximum and minimum number of koalas in this area.
c. After how many months does the population of koalas become minimum for the first time?
d. Sketch the graph of N(t) over the first 24 months showing all axes intercepts and turning points correct to four decimal places.
e. Find the population of koalas after 10 months.
f. For how long does the population remain more than N(10), before it becomes less than N(10) again?

In the same area, the population of wombats varies according to the rule
P(t) = 1000 - 400sin(\frac{πt}{6})
where P is the number of wombats and t is the number of months after 1 Jan 2013.
g. When does the population of wombats become more than koalas?
h. How many more koalas than wombats are there in the area after 12 months?

ansver
Answers: 2

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 21:30, quinteroalex2001
You dug a hole that was 8 feet deep. after taking a short break, you dug down 3 more feet in the same hole. when finished digging, a tractor accidentally filled the hole with 4 feet of dirt. how deep is your hole now?
Answers: 2
image
Mathematics, 21.06.2019 23:00, mindofnyny
In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ac=26 and ch=8, find bh.
Answers: 3
image
Mathematics, 22.06.2019 00:20, destinyd10189
Ze trinomial x2 + bx – c has factors of (x + m)(x – n), where m, n, and b are positive. what is ze relationship between the values of m and n? explain how you got ze answer
Answers: 2
image
Mathematics, 22.06.2019 01:30, Jadaflournoy5
Pls math have no ideamultiply and simppify. 2x^2y^3z^2 • 4xy^4x^2
Answers: 2
You know the right answer?
The population of koalas in a particular area varies according to the rule N(t) = 1000 + 200cos()

Questions in other subjects:

Konu
Mathematics, 08.02.2021 04:00