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# Solutions for Chapter 4.7: Fundamentals of Differential Equations 8th Edition ## Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730 Solutions for Chapter 4.7

Solutions for Chapter 4.7
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##### ISBN: 9780321747730

Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. Chapter 4.7 includes 54 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: Fundamentals of Differential Equations , edition: 8. Since 54 problems in chapter 4.7 have been answered, more than 159270 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Circle graph

A circular graphical display of categorical data

• Coefficient

The real number multiplied by the variable(s) in a polynomial term

• Cone

See Right circular cone.

• Cube root

nth root, where n = 3 (see Principal nth root),

• equation of an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• Even function

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

• Feasible points

Points that satisfy the constraints in a linear programming problem.

• Focal axis

The line through the focus and perpendicular to the directrix of a conic.

• 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

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Parabola

The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

• Periodic function

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

• Pie chart

See Circle graph.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

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

• Vertical line test

A test for determining whether a graph is a function.

• Ymin

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

• Yscl

The scale of the tick marks on the y-axis in a viewing window.