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# Solutions for Chapter 7.9: Fundamentals of Differential Equations 8th Edition ## Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730 Solutions for Chapter 7.9

Solutions for Chapter 7.9
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##### ISBN: 9780321747730

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 59 problems in chapter 7.9 have been answered, more than 56668 students have viewed full step-by-step solutions from this chapter. Chapter 7.9 includes 59 full step-by-step solutions. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730.

Key Calculus Terms and definitions covered in this textbook
• Axis of symmetry

See Line of symmetry.

• Coefficient

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

• Correlation coefficient

A measure of the strength of the linear relationship between two variables, pp. 146, 162.

• Cubic

A degree 3 polynomial function

• Discriminant

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

• Factored form

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

• Horizontal asymptote

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

• Length of a vector

See Magnitude of a vector.

• Linear combination of vectors u and v

An expression au + bv , where a and b are real numbers

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Matrix, m x n

A rectangular array of m rows and n columns of real numbers

• Negative association

A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Odd function

A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

• Pie chart

See Circle graph.

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

An angle in standard position whose terminal side lies on an axis.

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

• Vertices of an ellipse

The points where the ellipse intersects its focal axis.

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