Using it's concept, it is found that the average rate of change of this function over the interval of time from 30 days to 60 days is of 0.4 insects per day.
<h3>What is the average rate of change?</h3>
- The <em>average rate of change</em> of a function f(x) over an interval [a,b] is given by the <u>change in the output divided by the change in the input</u>, that is:
In this problem:
- The inputs are of 30 and 60 days, hence .
- At day 30, there are 20 insects, hence .
- At day 60, there are 32 insects, hence .
Then:
The average rate of change of this function over the interval of time from 30 days to 60 days is of 0.4 insects per day.
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Answer: yes
Step-by-step explanation:
Answer:
f(x)=4cos(5x)
Step-by-step explanation:
Let us see the standard form of cosine function
f(x) = acos(nx)
Where x is the angle in radians along x axis
for x=0 , we see that the value of f(x) = 4
Hence acos(n*0)=4
acos 0 = 4
a *1 = 4 (as cos 0 = 1)
Hence we have a = 4 , therefore our equation becomes
f(x) = 4 cos (nx)
from the given graph we can see that
for x = f(x) = -4
Hence
dividing both sides by 4 we get
Hence we have value of n also as 5
Hence our function is
f(x) =
Answer:
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