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# Solutions for Chapter 5.3: A First Course in Differential Equations with Modeling Applications 10th Edition ## Full solutions for A First Course in Differential Equations with Modeling Applications | 10th Edition

ISBN: 9781111827052 Solutions for Chapter 5.3

Solutions for Chapter 5.3
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##### ISBN: 9781111827052

Since 26 problems in chapter 5.3 have been answered, more than 43711 students have viewed full step-by-step solutions from this chapter. Chapter 5.3 includes 26 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052.

Key Calculus Terms and definitions covered in this textbook
• Anchor

See Mathematical induction.

• Circle graph

A circular graphical display of categorical data

• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• Complex fraction

See Compound fraction.

• Complex plane

A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

• Compounded continuously

Interest compounded using the formula A = Pert

• Convergence of a sequence

A sequence {an} converges to a if limn: q an = a

• Convergence of a series

A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

• Degree

Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Graph of a function ƒ

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

• Graph of parametric equations

The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

• Inverse cotangent function

The function y = cot-1 x

• 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

• Negative numbers

Real numbers shown to the left of the origin on a number line.

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Outcomes

The various possible results of an experiment.

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• Transpose of a matrix

The matrix AT obtained by interchanging the rows and columns of A.

• Ymax

The y-value of the top of the viewing window.

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