×
×

# Solutions for Chapter 6.2: Fundamentals of Differential Equations 8th Edition

## Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730

Solutions for Chapter 6.2

Solutions for Chapter 6.2
4 5 0 312 Reviews
27
2
##### ISBN: 9780321747730

Since 35 problems in chapter 6.2 have been answered, more than 37363 students have viewed full step-by-step solutions from this chapter. Chapter 6.2 includes 35 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. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730.

Key Calculus Terms and definitions covered in this textbook
• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• Exponential form

An equation written with exponents instead of logarithms.

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• Frequency distribution

See Frequency table.

• Graphical model

A visible representation of a numerical or algebraic model.

• Identity properties

a + 0 = a, a ? 1 = a

• Inverse cosecant function

The function y = csc-1 x

• Inverse of a matrix

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

• Inverse tangent function

The function y = tan-1 x

• Least-squares line

See Linear regression line.

• Maximum r-value

The value of |r| at the point on the graph of a polar equation that has the maximum distance from the pole

• Pascal’s triangle

A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

• Point-slope form (of a line)

y - y1 = m1x - x 12.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Slope

Ratio change in y/change in x

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• Vertical stretch or shrink

See Stretch, Shrink.

• x-axis

Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

×