The long answer is <span>28.571428%, but I would round it upwards to make it seem more realistic.</span>
Answer:
Y= 42
Step-by-step explanation:
The answer would be 42 because if x=9 and the equation is 5x you have to multiply and that will give you 45 and then subtract 3 which would give you 42
Answer:
4.1 inches
<u>I would appreciate Brainliest, but no worries.</u>
The simplest path from (0, 0, 0) to (1, 1, 1) is a straight line, denoted 
, which we can parameterize by the vector-valued function,
for 
, which has differential
Then with 
, we have
Complete the square in the quadratic term of the integrand: 
, then in the integral we substitute 
:
Make another substitution of 
:
Integrate by parts, taking
So, we have by the fundamental theorem of calculus that
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.
