Answer:
P = 6200 / (1 + 5.2e^(0.0013t))
increases the fastest
Step-by-step explanation:
dP/dt = 0.0013 P (1 − P/6200)
Separate the variables.
dP / [P (1 − P/6200)] = 0.0013 dt
Multiply the left side by 6200 / 6200.
6200 dP / [P (6200 − P)] = 0.0013 dt
Factor P from the denominator.
6200 dP / [P² (6200/P − 1)] = 0.0013 dt
(6200/P²) dP / (6200/P − 1) = 0.0013 dt
Integrate.
ln│6200/P − 1│= 0.0013t + C
Solve for P.
6200/P − 1 = Ce^(0.0013t)
6200/P = 1 + Ce^(0.0013t)
P = 6200 / (1 + Ce^(0.0013t))
At t = 0, P = 1000.
1000 = 6200 / (1 + C)
1 + C = 6.2
C = 5.2
P = 6200 / (1 + 5.2e^(0.0013t))
You need to change the exponent from negative to positive.
The inflection points are where the population increases the fastest.
The flower garden is 4 feet by 12 feet. 4(12)= 48. or 48/4=12
Answer:
ideas and conflict and maybe elements depending on the story
Hello,
I have a graphing calculator so this will be easy for me to answer and explain how to figure these out. Here we go!
1. Well on a Ti - 84 plus calculator it says graph then you put in thee equations for each and C and D are already incorrect cause they go straight up and B is incorrect because it is a straight line on the top going straight. In this case your looking for a line that goes through the dots. And the answer would be A) Y = 1/2x + 7.
2. B) Then umber of accidents were reduced by 0.67 per month for every additional driver in the program.
3. Key: Y means yes N means no. Plot A had 1 disease present and 2 not present. Plot B has 3 diseases present and 1 disease not present.
4. Category A had 36 groups in group 1. and Category B had 12 groups in group 1. Easy!
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Hope I Helped!
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