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# Solutions for Chapter 7-4: Graphical Solution of Differential Equations by Using Slope Fields ## Full solutions for Calculus: Concepts and Applications | 2nd Edition

ISBN: 9781559536547 Solutions for Chapter 7-4: Graphical Solution of Differential Equations by Using Slope Fields

Solutions for Chapter 7-4
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##### ISBN: 9781559536547

This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Concepts and Applications was written by Patricia and is associated to the ISBN: 9781559536547. Chapter 7-4: Graphical Solution of Differential Equations by Using Slope Fields includes 23 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. Since 23 problems in chapter 7-4: Graphical Solution of Differential Equations by Using Slope Fields have been answered, more than 10204 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook

P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

• Annual percentage rate (APR)

The annual interest rate

• Augmented matrix

A matrix that represents a system of equations.

• Complex number

An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

• Conditional probability

The probability of an event A given that an event B has already occurred

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Horizontal line

y = b.

• Identity properties

a + 0 = a, a ? 1 = a

• Inverse cotangent function

The function y = cot-1 x

• Linear equation in x

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

• Multiplication property of inequality

If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

• Open interval

An interval that does not include its endpoints.

• Quantitative variable

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

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Relation

A set of ordered pairs of real numbers.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• Subtraction

a - b = a + (-b)

• Vertical asymptote

The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.

• Vertical line test

A test for determining whether a graph is a function.

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