the relationship between aphids, A, ( prey) and ladybugs, L, (preditor) can be described as follows: dA/dt=2A=0.01AL dL/dt=-0.5L+0.0001AL a) find the two critical points of the predator-prey equations  b) use the chain rule to write dL.dA in terms of L and A c) suppose that at time t=0, there are 1000 aphids and 200 ladybugs, use the Bluffton university slope field generator to graph the slope for the system and the solution curve. let 0 be less than or equal to A who is less than or equal to 15000 and 0 is less than or equal to L which is less than or equal to 400.

Q: what is a function that takes the same value as im(z) on  γ(0;1)

A: We are to find out the function that takes the same value as im(z) on γ(0;1)   There are many…

Q: a) Ignore the birth weight (x). If the length of gestation are independently and identically…

A: Reviewing information, x={60,110,44,900,107} y={122,241,61,365,617} n=5 The fitted model…

Q: f(x)=(3x+1)1/2; a=5; b=16.081/2

A: It is given that fx=3x+1. We have to compute the linearization of the function fx at the point a=5.…

Q: Determine which of the following pairs of functions are linearly independent. 1. f(t) = 3t, g(t) =…

A:

Q: If f(x) is a linear function, f( – 5) = - 5, and f(5) = – 3, find an equation for f(x) Submit…

A:

Q: Differentiate g(t) = -8/t .

A: Known fact: ddxx=12xddxkfx=kddxfx

Q: Provide an appropriate response. Find the derivative of y= Oy = 9x2 + 8x-3 Oy=9x2 + 8x-3 9x² y' =…

A:

Q: Determine which of the following pairs of functions are linearly independent. 1. f(x) = x² g(x) =…

A:

Q: Calculate the linearization L of f(x) = at x=1. Express your answer in terms of e and x. L(x)=

A: To calculate the linearization of .

Q: Let X1, X2, X3 and X4 be a random sample from population with pdf 0 < x < 1 X, fx(x) = 0, otherwise.…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.