Answer:
(dP/dt) = 0.00078P (2000 - P)
Step-by-step explanation:
A logistic differential equation is given as
(dy/dx) = ay(b - y)
where a and b are constants.
So, for this question,
(dP/dt) = aP(b - P)
b is the total possible value that P can attain and for this question, b = 2000 (the total number of people at the party)
Taking the time at 9pm to be t = 0,
At t = 0,
P(0) = 400 and (dP/dt) = 500 at t = 0
Inserting these into the differential equation
(dP/dt) = aP(b - P)
500 = 400a(2000 - 400)
400a = (500/1600)
400a = 0.3125
a = (0.3125/400)
a = 0.00078125
(dP/dt) = aP(b - P)
Inserting the constants
(dP/dt) = 0.00078125P (2000 - P)
Hope this Helps!!!
A
a) y+6x=5 if x= -1 then y+6(-1)=5 then y = 11
b) same thing if x = 3 then y+6(3)=5 y+18=5 subtract both sides by -18 and leave y on left then add 5+(-18)= 13 then y=13
B same as above
question (a) asks you to solve for y because x is -2
(b) asks you to solve for x because y is known
3x+2y=-6 if y = 3 you write 3x+2(3)=-6 3x+6=-6 move the +6 over to right side by subtracting 6 from both side 3x=-6 + -6 so 3x=-12 to get rid of the 3 and only leave the x you want to divide both side by 3 then x= -12/3 then the answer would be x=-4
So that’s the info, what’s the question? I think that I can help
Answer:
4+6j
Step-by-step explanation:
Answer:
perimeter
Step-by-step explanation:
Perimeter is the distance around a two dimensional shape, a measurement of the distance around something; the length of the boundary.