 3.5.1: Let f (x) = x2 1, 0 x 2 (a) Graph y = f (x) for 0 x 2. (b) Show tha...
 3.5.2: Let f (x) = x3 2x + 3, 3 x 1 (a) Graph y = f (x) for 3 x 1. (b) Use...
 3.5.3: Let f (x) = _ x2 + 2, 1 x 2 (a) Graph y = f (x) for 1 x 2. (b) Use ...
 3.5.4: Let f (x) = sin x x, 1 x 1 (a) Graph y = f (x) for 1 x 1. (b) Use t...
 3.5.5: Use the intermediatevalue theorem to show that ex = x has a soluti...
 3.5.6: Use the intermediatevalue theorem to show that cos x = x has a sol...
 3.5.7: Use the bisection method to find a solution of ex = x that is accur...
 3.5.8: Use the bisection method to find a solution of cos x = x that is ac...
 3.5.9: (a) Use the bisection method to find a solution of 3x3 4x2 x + 2 = ...
 3.5.10: In Example 2, how many steps are required to guarantee that the app...
 3.5.11: Suppose that the number of individuals in a population at time t is...
 3.5.12: Suppose that the biomass of a population at time t is given by B(t)...
 3.5.13: Explain why a polynomial of degree 3 has at least one root.
 3.5.14: Explain why a polynomial of degree n, where n is an odd number, has...
 3.5.15: Explain why y = x2 4 has at least two roots.
 3.5.16: On the basis of the intermediatevalue theorem, what can you say ab...
Solutions for Chapter 3.5: Properties of Continuous Functions
Full solutions for Calculus For Biology and Medicine (Calculus for Life Sciences Series)  3rd Edition
ISBN: 9780321644688
Solutions for Chapter 3.5: Properties of Continuous Functions
Get Full SolutionsCalculus For Biology and Medicine (Calculus for Life Sciences Series) was written by Patricia and is associated to the ISBN: 9780321644688. This textbook survival guide was created for the textbook: Calculus For Biology and Medicine (Calculus for Life Sciences Series), edition: 3. Since 16 problems in chapter 3.5: Properties of Continuous Functions have been answered, more than 5257 students have viewed full stepbystep solutions from this chapter. Chapter 3.5: Properties of Continuous Functions includes 16 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Augmented matrix
A matrix that represents a system of equations.

Combinations of n objects taken r at a time
There are nCr = n! r!1n  r2! such combinations,

Cotangent
The function y = cot x

Domain of a function
The set of all input values for a function

Graph of an equation in x and y
The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

Inequality symbol or
<,>,<,>.

Inverse sine function
The function y = sin1 x

Logarithmic reexpression of data
Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

Open interval
An interval that does not include its endpoints.

Pseudorandom numbers
Computergenerated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

Quadric surface
The graph in three dimensions of a seconddegree equation in three variables.

Quantitative variable
A variable (in statistics) that takes on numerical values for a characteristic being measured.

Real axis
See Complex plane.

Sample standard deviation
The standard deviation computed using only a sample of the entire population.

Semiminor axis
The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

Triangular number
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

Variable
A letter that represents an unspecified number.

xintercept
A point that lies on both the graph and the xaxis,.

zcoordinate
The directed distance from the xyplane to a point in space, or the third number in an ordered triple.
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