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# Solutions for Chapter 8.3: University Calculus: Early Transcendentals 2nd Edition

## Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399

Solutions for Chapter 8.3

Solutions for Chapter 8.3
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##### ISBN: 9780321717399

University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. Chapter 8.3 includes 56 full step-by-step solutions. Since 56 problems in chapter 8.3 have been answered, more than 58375 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Anchor

See Mathematical induction.

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Census

An observational study that gathers data from an entire population

• 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

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• Division

a b = aa 1 b b, b Z 0

• Equivalent equations (inequalities)

Equations (inequalities) that have the same solutions.

• 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.

• Mean (of a set of data)

The sum of all the data divided by the total number of items

• Negative association

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

• NINT (ƒ(x), x, a, b)

A calculator approximation to ?ab ƒ(x)dx

• Open interval

An interval that does not include its endpoints.

• Paraboloid of revolution

A surface generated by rotating a parabola about its line of symmetry.

• Quotient identities

tan ?= sin ?cos ?and cot ?= cos ? sin ?

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• Random numbers

Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

• Re-expression of data

A transformation of a data set.

• Reduced row echelon form

A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

• Vertical line test

A test for determining whether a graph is a function.

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