Q2]can transmit the disease but who exhibit no overt symptoms. Let r and y denote the proportions ofsusceptibles and carriers, respectively, in the population. Suppose that carriers are identified and removedfrom the population at a rate 3, soSome diseases (such as typhoid fever) are spread largely by carriers, individuals whody/dt = -By.(1)Suppose also that the disease spreads at a rate proportional to the product of r and y; thusdx/dt = -axy.(2) b)Use the result of part (a) to find r at any time t, subject to the initial condition r(0) = ro.

Q2] can transmit the disease but who exhibit no overt symptoms. Let r and y denote the proportions o susceptibles and carriers, respectively, in the population. Suppose that carriers are identified and removed from the population at a rate B, so Some diseases (such as typhoid fever) are spread largely by carriers, individuals who dy/dt = -By. (1 Suppose also that the disease spreads at a rate proportional to the product of r and y; thus

Q2] can transmit the disease but who exhibit no overt symptoms. Let r and y denote the proportions o susceptibles and carriers, respectively, in the population. Suppose that carriers are identified and removed from the population at a rate B, so Some diseases (such as typhoid fever) are spread largely by carriers, individuals who dy/dt = -By. (1 Suppose also that the disease spreads at a rate proportional to the product of r and y; thus

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
The following table provides values of the function f(x,y). However, because of potential; errors in measurement, the functional values may be slightly inaccurately. Using the statistical package included with a graphical calculator or spreadsheet and critical thinking skills, find the function f(x,y)=a+bx+cy that best estimate the table where a, b and c are integers. Hint: Do a linear regression on each column with the value of y fixed and then use these four regression equations to determine the coefficient c. x y 0 1 2 3 0 4.02 7.04 9.98 13.00 1 6.01 9.06 11.98 14.96 2 7.99 10.95 14.02 17.09 3 9.99 13.01 16.01 19.02
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