×
×

# Solutions for Chapter 1.4: Fundamentals of Differential Equations 8th Edition

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

ISBN: 9780321747730

Solutions for Chapter 1.4

Solutions for Chapter 1.4
4 5 0 285 Reviews
22
2
##### ISBN: 9780321747730

This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Chapter 1.4 includes 18 full step-by-step solutions. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This expansive textbook survival guide covers the following chapters and their solutions. Since 18 problems in chapter 1.4 have been answered, more than 56077 students have viewed full step-by-step solutions from this chapter.

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

See Line of symmetry.

• Complex fraction

See Compound fraction.

• End behavior

The behavior of a graph of a function as.

• Fibonacci numbers

The terms of the Fibonacci sequence.

• General form (of a line)

Ax + By + C = 0, where A and B are not both zero.

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Increasing on an interval

A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

See Polynomial function in x.

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• Midpoint (in Cartesian space)

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Polar coordinates

The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Secant line of ƒ

A line joining two points of the graph of ƒ.

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Sinusoidal regression

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

• Sum of an infinite geometric series

Sn = a 1 - r , |r| 6 1

• Translation

See Horizontal translation, Vertical translation.

• Weights

See Weighted mean.

×