Answer:
A) Differential equation for population growth in case of individual immigration is:

B) Differential equation for population growth in case of individual emigration is:

Step-by-step explanation:
Population growth rate in the absence of immigration and emigration is given as:

A) When individuals are allowed to immigrate:
Let r be the constant rate of individual immigration given that r >0.
Differential equation for population growth in this case is:

B) In case of individual emigration:
Let r be the constant rate of individual emigration given that r >0.
Differential equation for population growth in this case is:

I would say 3:1, but i'm not positive! if i need to explain my reasoning, i can.
Answer:
49
Step-by-step explanation:
The expression is given below:
x^2 + 14x
Let y be the constant that will make the expression a perfect square. Therefore, the expression can be written as:
x^2 + 14x + y
Applying the formula b^2 = 4ac, we can easily obtain the value of y as shown below:
x^2 + 14x + y
Coefficient of x^2 (a) = 1
Coefficient of x (b) = 14
Constant (c) = y
b^2 = 4ac
14^2 = 4 x 1 x c
196 = 4c
Divide both side by the coefficient of c i.e 4
c = 196/4
c = 49
Thus, 49 must be added to the expression to make it a perfect square.
<u>Answer:</u>
- The value of c is 2√2 or about 2.8.
<u>Step-by-step explanation:</u>
<u>We can find the hypotenuse (c) with the help of Pythagoras Theorem.</u>
- => c² = 2² + 2²
- => c² = 4 + 4
- => c² = 8
- => c = √8
- => c = √2 x 2 x 2
- => c = 2√2
<u>If you want further simplification, seek for explanation below.</u>
- => c = 2√2
- => c = 2 x √2
- => c = 2 x 1.414
- => c = 2.828 = 2.8 (Estimated)
Hence, <u>the value of c is 2√2 or about 2.8.</u>
Hoped this helped.
