4. Symbiotic Relationship: When two species, such as the rhinoceros and birds, coexist in a symbiotic (dependent) relationship, they either increase together or decrease together. Typical equations for the growth rates of two such species might be da dt dra dt 421+4212₂ =-3x2+2x12. (a) Find an equation relating z₁ and ₂ if #₁ = 5 when z₂ = 1. Meaning, write and use the separation of variables to solve the differential equation. day (b) Find the equilibrium point. (e) Give a phase plane diagram (keep in mind this is a nonlinear system). (d) Based on part (c), what happens to the populations if both populations are greater than their values at equilibrium? Or, if both populations are less than their values at equilibrium?

Q: tan(cos^-1 (sqrt 3 over 2)

A: Consider the given expression: tancos-132 Here, the objective is to evaluate the given expression.

Q: find the value of sin^2(21degrees)+cos^2(21 degrees) - sin(70degrees)/cos(20degrees

A: the value of sin^2(21degrees)+cos^2(21 degrees) - sin(70degrees)/cos(20degrees

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A:

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A:

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Q: Graph the equation r = sin^2 (2.3u) + cos^4 (2.3u) for 0 <=u<= 10pai.

A: