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Solutions for Chapter 16.1: Exact First-Order Equations

Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter 16.1: Exact First-Order Equations

Solutions for Chapter 16.1
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ISBN: 9781285774770

This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendental Functions was written by Sieva Kozinsky and is associated to the ISBN: 9781285774770. Chapter 16.1: Exact First-Order Equations includes 60 full step-by-step solutions. Since 60 problems in chapter 16.1: Exact First-Order Equations have been answered, more than 21774 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6.

Key Calculus Terms and definitions covered in this textbook
• Bounded interval

An interval that has finite length (does not extend to ? or -?)

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Equivalent systems of equations

Systems of equations that have the same solution.

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Identity properties

a + 0 = a, a ? 1 = a

• Interval notation

Notation used to specify intervals, pp. 4, 5.

• Inverse composition rule

The composition of a one-toone function with its inverse results in the identity function.

• Inverse sine function

The function y = sin-1 x

• 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).

• Permutation

An arrangement of elements of a set, in which order is important.

• Perpendicular lines

Two lines that are at right angles to each other

• Phase shift

See Sinusoid.

• Position vector of the point (a, b)

The vector <a,b>.

• Rectangular coordinate system

See Cartesian coordinate system.

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Second

Angle measure equal to 1/60 of a minute.

• Solution of a system in two variables

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

• Variation

See Power function.

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