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the population of a certain species of fish introduced into a lake is described by the logistic equation G(t)=10000/(1+24e^(-1.2t)). Where G(t) is the population after t years. Find the point at which the growth rate of this population begins to decline.(inflection points)
Suppose X, Y, and Z are random variables with joint density function f(x, y, z) = Ce-(0.5x+0.2y+0.1z) if x 0, y 0, z 0, and f(x, y, z) = 0 otherwise.
A ship travels 91 km on a bearing of 40°, and then travels on a bearing of 130° for 138 km. To the nearest kilometer, find the distance from the start to the end of the trip.
An orchard contains 60 peach trees with each tree yielding an average of 57 peaches. For each 5 additional trees planted, the average yield per tree decreases by 3 peaches. How many trees should be planted to maximize the total yield of the orchar..
Consider the following relation R on the set of positive integers: R = {(x,y)|x and y have the same prime divisors}
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected.
determine the depreciation for each of the first two years (a) by the straight-line method and (b) by the double-declining-balance method.
closed box with a square base has to have a volume of 3000 cubic inches. Find a function for the surface area of the box.
there are 12 bottles in a case of syrup each bottle contains 24 fl oz of syrup find the number of quarts of syrup in the case.
The vertices of the trapezoid are the origin along with A(4p, 4q), B(4r, 4q), and C(4s, 0). Find the midpoint of the midsegment of the trapezoid.
assume you can afford a down payment of equal to 25% of your yearly income which is 31,500, what is the total purchase price you can afford for a home?
A manufacturer produces cardboard boxes that are open at the top and sealed at the base. The base is rectangular and its length is double its width.
A building is 479 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 21 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
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