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Question
When two species, such as the rhinoceros and birds, coexist in a symbiotic relationship, they either increase together or decrease together. Typical equations for the growth rates of two such species might be:
dx1/dt = -4x1 + 4x1x2
dx2/dt = -3x2 + 2x1x2
a. Find an equation relating x1 and x2 if x1 = 5 when x2 =1.
b. Find all equilibrium points.
c. If both populations are greater than their values at the equilibrium point, what happens to the populations?
d. If both populations are less than their values at the equilibrium point, what happens to the populations?
In a simple pendulum, the breaking strength of the string is double the weight of the bob. The bob is released from rest when the string is horizontal. Finde the value of an angle θ with the vertical when the string breaks.
A claim is made that p=0.60 Set up the null and alternative hypothesis to test this claim.
A window consists of a rectangular piece of clear glass with a semicircular piece of colored glass on top; the colored glass transmits only 1/2 as much light per unit area as the the clear glass. If the distance from top to bottom (across both ..
Suppose the three vertices A, B and C of a parallelogram ABCD are given. Construct the fourth vertex D.
Assuming the change of either a boy or a girl is equal (50% each), what is the chance that the family has three girls given that the first child is a girl.
A rectangular parcel of land has an area of 5000 ft^2. A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel. What are the dimensions of the land, rounded to the nearest foot?
This problem is from Mathematics and it is about evaluating a number multiplied with factorial.
Probability Calculating the Expected Value, You give $3 for a bet in a casino game and there is a 253/495 probability that you will lose your $3 and there is a 242/495 probability that you will make a net gain of $3
Apply the product limit method to determine the survival function
what is the distance between the origin and the point (5,-19)? if necessary, round your answers to two decimal places.
Determine the probability without replacement
kasey was hungry so she caught 5 tasty crickets for her afternoon snack. she weighed them in pairs, and made sure that each cricket was weighed exactly once together with each other cricket. She found that the different pairs weighed exactly
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