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Two quantities (x,y) are proportional if one is a constant (k) multiple of the other (y=kx for some constant k.) Two quantities (x,y) are jointly proportional to a third quantity (z) if their product is a constant multiple (k) of the third (z=kxy).
1. Write differential equations for the following scenarios:
a. The rate of infection is constant.
b. The rate of infection is increasing at a rate that is proportional to the number of infected people.
c. The rate of infection is increasing at a rate that is proportional to the number of infected people and decreasing at a rate that is proportional to the number of infected people.
d. The rate of infection is increasing at a rate that is jointly proportional to the number of infected people and the number of healthy people.
e. The rate of infection is increasing at a rate that is jointly proportional to the number of infected people and the number of healthy people and decreasing at a rate that is proportional to the number of infected people.
A road running north to south crosses a road going east to west at the point P. How fast is the distance between the two cars changing?
If x is the number of trees and y is the average yield per tree find a linear equation that gives the yield y in terms of the number of trees, x.
a cleaning solution and water are mixed in the ratio 4 15. the amount of water in the mixture is 1200 milliliter a.
What is 5+15? Nunc egestas, augue at pellentesque laoreet, felis eros vehicula leo, at malesuada velit leo quis pede. Proin viverra, ligula sit amet ultrices semper, ligula arcu tristique sapien, a accumsan nisi mauris ac eros. Nam eget dui. Donec so..
Señor Martinez grows several different kinds of peppers for the restaurants in Las Lunes. Some of them are very spicy, but all of them have their own special taste. Each variety of pepper is grown in its own field. Each field is 449 meters long an..
The method of maximum likelihood for estimating p states that we should choose the value for p that gives the highest probability of getting what we got on the experiment.
block of metal has a width of 3.2 rm cm, a length of 17.1 rm cm, and height of 4.9 cm. Its mass is 1.5 kg. Calculate the density of the metal.
What are the dimesions of the base of the rectangular box of greatest volume that can ba constructed from 200 square inches of cardboard if the base is to be three times as long as it is wide?
What constitutes a rational expression? How would you explain this concept to someone unfamiliar with it?
Determining initial population, maximum population of fruit flies placed in a half pint milk bottle - word problem and Evaluate the initial population
State null & alternative hypotheses
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
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