Martha estimated there were 96 marbles in a jar for a contest. The actual number of marbles in the jar was 118. What was the per
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Answer: After about 9.03 hours the temperature first reach 82 degrees.
Step-by-step explanation:
The sinusoidal function is given by :
where, A = amplitude; , α= phase shift on the Y-axis and C = midline.
As per given,
Average daily temperature= [midline is average of upper and lower limit.]
A= 97-85 = 12
Phase shift:
Period = 24 hours;
Substitute all values in sinusoidal function, we get
Put y= 82, we get
Hence, After about 9.03 hours the temperature first reach 82 degrees.
Answer:
Step-by-step explanation:
The logistic differential equation is as follows:
In this problem, we have that:
, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.
At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.
This means that when
. With this, we can find r, that is, the growth rate,
So
So the differential equation is: