Please help! 10 points <3
2 answers:
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Answer:
The correct option is;
Step-by-step explanation:
The given parameters are
The equation of motion of one (the first) object is r = 4·cos(θ)
The equation of motion of the other (the second) object is r = -1 + 2·cos(θ)
Equating both equations gives;
4·cos(θ) = -1 + 2·cos(θ)
4·cos(θ) - 2·cos(θ) = -1
2·cos(θ) = -1
cos(θ) = -1/2
θ = Arccos(-1/2) = 120° = 2·π/3
Therefore, the two equations are equal when θ = 2·π/3 for which we have;
r = 4·cos(2π/3) = -2 and r = -1 + 2·cos(2π/3) = -2
∴ r = 4·cos(2π/3) = -1 + 2·cos(2π/3) = -2
The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore
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:
Answer:
- 54.56 units
Step-by-step explanation:
<u>The vertices are:</u>
- K(-12,2), L(-7,12), J(3,-10)
<u>Find the sides using distance formula:</u>
- KL =
≈ 11.18
- LJ =
≈ 24.17
- KJ =
≈ 19.21
<u>Find perimeter:</u>
- P = KL + LJ + KJ
- P = 11.18 + 24.17 + 19.21 = 54.56 units