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Question: A bird such as a starling feeds worms to its young. To collect worms, the bird flies to a site where worms are to be found, picks up several in its beak, and flies back to its nest. The loading curve in Figure 4.42 shows how the number of worms (the load) a starling collects depends on the time it has been searching for them.4 The curve is concave down because the bird can pick up worms more efficiently when its beak is empty; when its beak is partly full, the bird becomes much less efficient. The traveling time (from nest to site and back) is represented by the distance P O in Figure. The bird wants to maximize the rate at which it brings worms to the nest, where
Rate worms arrive = Load/(Travelling time + Searching time)
(a) Draw a line in Figure whose slope is this rate.
(b) Using the graph, estimate the load which maximizes this rate.
(c) If the traveling time is increased, does the optimal load increase or decrease? Why?
The value (in millions of dollars) of electric household ranges and ovens shipped in a certain country can be approximated by the function g(x)= -29.1x squared + 220x +2235, where x=0 corresponds to the year 2000. What is the value of the ranges a..
We want to study the movement of an ant on a grid over m time steps. Think of each time step as another iteration of a loop. The grid is (2n+1)(2n+1) in size centered at (0; 0). Each grid point can be colored white or black. Initially all grid poi..
A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^9 and outside the cylinder x^2+y^2=1. Find the volume of the volcano.
Digital information can be represented through the use of Boolean algebra, which is an important concept to study if one wishes to understand how computers work.
The Jurassic Zoo charges $12for each adult admission and $2for each child. The total bill for the 259people from a school trip was $1128. How many adults and how many children went to the zoo?
a sample of iron has a mass of 195 grams and a volume of 25 cubic centimeters. what is the density of the iron?
A textbook store sold a combined total of physics and psychology textbooks in a week. The number of physics textbooks sold was two times the number of psychology textbooks sold. How many textbooks of each type were sold?
How many ways can n books be placed on k distinguishable shelves if the books are indistinguishable copies of the same title?
a building is located at the end of street that is inclined at an angle of 8 degree with the horizontal. at the point
Find the solution for all values of the constant a.
(a) Formulate this as a linear programming problem. (b) Solve the problem using the two-phase simplex algorithm.
find the intervals on which f(x) is increasing, the intervals in which f(x) is decreasing, and the local extrema.
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