×

×

# Solutions for Chapter 7.1: MODELING WITH DIFFERENTIAL EQUATIONS ## Full solutions for Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) | 4th Edition

ISBN: 9780495559726 Solutions for Chapter 7.1: MODELING WITH DIFFERENTIAL EQUATIONS

Solutions for Chapter 7.1
4 5 0 379 Reviews
18
0
##### ISBN: 9780495559726

Since 15 problems in chapter 7.1: MODELING WITH DIFFERENTIAL EQUATIONS have been answered, more than 22697 students have viewed full step-by-step solutions from this chapter. Chapter 7.1: MODELING WITH DIFFERENTIAL EQUATIONS includes 15 full step-by-step solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series), edition: 4. Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) was written by and is associated to the ISBN: 9780495559726. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute minimum

A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

• Absolute value of a complex number

The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

• Arctangent function

See Inverse tangent function.

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Directed distance

See Polar coordinates.

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Elimination method

A method of solving a system of linear equations

• Even function

A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

• Expanded form

The right side of u(v + w) = uv + uw.

• Fibonacci numbers

The terms of the Fibonacci sequence.

• Geometric series

A series whose terms form a geometric sequence.

• Horizontal component

See Component form of a vector.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Inverse tangent function

The function y = tan-1 x

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• 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.

• Simple harmonic motion

Motion described by d = a sin wt or d = a cos wt

• Vertex of a parabola

The point of intersection of a parabola and its line of symmetry.