- 4.7.1: If t is in years since 1990, one model for the population of the wo...
- 4.7.2: Investigate the effect of the parameter C on the logistic curve P =...
- 4.7.3: The following table shows the total sales, in thousands, since a ne...
- 4.7.4: Write a paragraph explaining why sales of a new product often follo...
- 4.7.5: (a) Draw a logistic curve. Label the carrying capacity L and the po...
- 4.7.6: The following table gives the percentage, P, of households with cab...
- 4.7.7: The Tojolobal Mayan Indian community in Southern Mexico has availab...
- 4.7.8: In the spring of 2003, SARS (Severe Acute Respiratory Syndrome) spr...
- 4.7.9: Substitute t = 0, 10, 20, . . . , 70 into the exponential function ...
- 4.7.10: On page 214, a logistic function was used to model the US populatio...
- 4.7.11: A curve representing the total number of people, P, infected with a...
- 4.7.12: Find the point where the following curve is steepest: y = 50 1 + 6e...
- 4.7.13: A dose-response curve is given by R = f(x), where R is percent of m...
- 4.7.14: If R is percent of maximum response and x is dose in mg, the dose-r...
- 4.7.15: Dose-response curves for three different products are given in Figu...
- 4.7.16: Explain why it is safer to use a drug for which the derivative of t...
- 4.7.17: In Figure 4.80, what range of doses appears to be both safe and eff...
- 4.7.18: In Figure 4.81, discuss the possible outcomes and what percent of p...
- 4.7.19: A population, P, growing logistically is given by P = L 1 + Cekt . ...
- 4.7.20: Cell membranes contain ion channels. The fraction, f, of channels t...
Solutions for Chapter 4.7: LOGISTIC GROWTH
Full solutions for Applied Calculus | 5th Edition
A polynomial with exactly two terms
Trigonometric functions when applied to real numbers are circular functions
See Geometric sequence.
Directed line segment
Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis
Endpoint of an interval
A real number that represents one “end” of an interval.
Factoring (a polynomial)
Writing a polynomial as a product of two or more polynomial factors.
Matrix, m x n
A rectangular array of m rows and n columns of real numbers
See Right circular cone.
Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.
Partial fraction decomposition
See Partial fractions.
A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.
Numbers that can be written as a/b, where a and b are integers, and b ? 0.
Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.
A real number.
Sum of a finite arithmetic series
Sn = na a1 + a2 2 b = n 2 32a1 + 1n - 12d4,
A procedure used to divide a polynomial by a linear factor, x - a
Vertex of a cone
See Right circular cone.
The numbers 0, 1, 2, 3, ... .
The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.
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