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Consider two competing species that live in the same forest, and let x1(t) and x2(t) denote the respective populations of the species at time t. Suppose that the initial populations are x1(0) = 550 and x2(0) = 260. If the growth rates of the species are given by
x'1(t) = -3x1(t) + 6x2(t)x'2(t) = x1(t) - 2x2(t),
what is the population of each species at time t?
Solve this linear problem graphically and determine optimal quanitities of A, B, and value of Z.
Part of $13,750 is invested at 9% annual interest, and the rest is invested at 8%. After one year, the accounts paid $1,160 in interest. How much was invested at the lower rate?
To determine the dimensions of a rectangular container and evaluate the derivative of the given equation.
Each of the numbers 0 through 30 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even.
Find Probability of Drawing Cards. You draw two cards, which end up being Saddam Hussein and another one with his cousin Chemical Alia?.
Probability - poker fullhouse. A game of poker is played with an ordinary deck of 52 cards, and each player is dealt a hand of 5 cards chosen at random
Use this tree diagram and the probability determined in part (a) to calculate the probability that she should receive at least one payment exactly on time.
Suppose the position of a particle after t seconds is given by the following vector equation - evaluate each of the following vectors:
Differentiate the functions. y = (square root cos (square root x))
Determine whether or not the given vector field is conservative. If its conservative find f such that F=delta f
Find the area of the curved surface of a right-circular cone of radius 2 and height 2 by rotating the straight line segment from (00) to (22) about the y-axis.
Two trains are driving towards each other .One at 144 km/h and the other at 72 km/h When they see each other they start to brake at 1 m/ss. There is 950m between them
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