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# Solutions for Chapter 4.7: 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 4.7

Solutions for Chapter 4.7
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##### ISBN: 9781111827052

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. This expansive textbook survival guide covers the following chapters and their solutions. Since 51 problems in chapter 4.7 have been answered, more than 85433 students have viewed full step-by-step solutions from this chapter. Chapter 4.7 includes 51 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Angle

Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

• artesian coordinate system

An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers

• Base

See Exponential function, Logarithmic function, nth power of a.

• Cone

See Right circular cone.

• Convenience sample

A sample that sacrifices randomness for convenience

• Damping factor

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

• Degree of a polynomial (function)

The largest exponent on the variable in any of the terms of the polynomial (function)

• 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

• Graph of a polar equation

The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

• Inverse cotangent function

The function y = cot-1 x

• Inverse variation

See Power function.

• Law of sines

sin A a = sin B b = sin C c

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• Quantitative variable

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

• Reference triangle

For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Terminal point

See Arrow.

• Terms of a sequence

The range elements of a sequence.

• xy-plane

The points x, y, 0 in Cartesian space.