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Ecologists estimated that when population of a city is x thousand persons, the average level carbon monoxide in the air above the city will be L ppm(parts per million) where L=10+0.4x+0.0001x^2 . The population of the city is estimated to be x=752+23t+0.5t^2 thousand persons t years from the present.
a) Find the rate of change of carbon monoxide with respect to the population in the cityb) Find the rate of change of the population with respect to the time t.c) Find the rate of change of carbon monoxide with respect to the time t.
linear word problem: In a week, the first car gets an average of 20 mpg, the second gets 25 mpg; the two cars combined drive a total of 1175 miles in that week, for a total gas consumption of 50 gallons.
Evaluate {double integral over region R} [F(dot)n dA] where F= x(ihat)+y(jhat)+(1-x^2-y^2)(khat) and n = 2x(i)+2y(j)+k and R is the disk x^2+y^2
The Complement A of an r-subset A of {1,2...,n} is the (n-r)-subset of {1,2,...,n} consisting of all those elements that do not belong to A. Let M= C(n,r), the number of r subsets and at the same time the number of (n-r)
The one percent level of significance
Food B is bought under a long-term contract requiring that at least 2 units of B be used per serving. How much of each food must be bought to produce the minimum cost per serving? What is the minimum cost per serving?
Students are given three chances to pass a basic skills exam for permission to enroll in Calculus I. Sixty percent of the students pass on the first try; of those who fail on the first try, 54% pass on the second try; and, of those remaining, 48% ..
The equation is J1(wg) where J1 is bessel functon of the first kind of order 1, w is angular frequency and g is a constant. How do I inverse fourier transform this equation to time domain representation?
Choose the equation for the hyperbola centered at the origin with the given characteristics:
Determine the p-value for testing
Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have obtained a load of 600 board feet of birch from a neighbor and are planning to produce round kitchen tables and ladder-back chairs during the next thre..
Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 12 cm if the tin is 0.04 cm thick.
To check whether the representation of input elements does not affect the running time of an algorithm
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