# 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

Solutions for Chapter 3.5
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##### ISBN: 9780321644688

Calculus For Biology and Medicine (Calculus for Life Sciences Series) was written by 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 11258 students have viewed full step-by-step solutions from this chapter. Chapter 3.5: Properties of Continuous Functions includes 16 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Combinations of n objects taken r at a time

There are nCr = n! r!1n - r2! such combinations,

• Compound fraction

A fractional expression in which the numerator or denominator may contain fractions

• Coordinate plane

See Cartesian coordinate system.

• Deductive reasoning

The process of utilizing general information to prove a specific hypothesis

• Ellipse

The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

• Equivalent arrows

Arrows that have the same magnitude and direction.

• Exponential regression

A procedure for fitting an exponential function to a set of data.

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Higher-degree polynomial function

A polynomial function whose degree is ? 3

• Inequality symbol or

<,>,<,>.

• Limaçon

A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• Parameter

See Parametric equations.

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Reduced row echelon form

A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

• Solve by substitution

Method for solving systems of linear equations.

A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

• Variable (in statistics)

A characteristic of individuals that is being identified or measured.

• Wrapping function

The function that associates points on the unit circle with points on the real number line

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