- 10.1: Germination Suppose that you conduct an experiment to measure the g...
- 10.2: Plant Physiology Gaastra (1959) measured the effects of atmospheric...
- 10.3: Plant Ecology In Burke and Grime (1996), a long-term field experime...
- 10.4: Plant Physiology Vitousek and Farrington (1997) investigated nutrie...
- 10.5: Find the Jacobi matrix f(x, y) = _ x2 y x3 y2 _
- 10.6: Find a linear approximation to f(x, y) = _ 2xy2 x y _ at (1, 1).
- 10.7: MarkRecapture Experiment We can compute the average radius of sprea...
Solutions for Chapter 10: Review Problems
Full solutions for Calculus For Biology and Medicine (Calculus for Life Sciences Series) | 3rd Edition
An interval that has finite length (does not extend to ? or -?)
See Polynomial function
Arrows that have the same magnitude and direction.
Index of summation
See Summation notation.
Using the science of statistics to make inferences about the parameters in a population from a sample.
Inverse sine function
The function y = sin-1 x
Inverse tangent function
The function y = tan-1 x
Zeros of a function that are irrational numbers.
Logistic growth function
A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval
One-to-one rule of exponents
x = y if and only if bx = by.
Two vectors u and v with u x v = 0.
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.
A degree 4 polynomial function.
The principle of experimental design that makes it possible to use the laws of probability when making inferences.
See Complex plane.
Real number line
A horizontal line that represents the set of real numbers.
A special form for a system of linear equations that facilitates finding the solution.
The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].
The restrictions on x and y that specify a viewing window. See Viewing window.