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# Solutions for Chapter 3.4: University Calculus: Early Transcendentals 2nd Edition ## Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399 Solutions for Chapter 3.4

Solutions for Chapter 3.4
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##### ISBN: 9780321717399

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Since 34 problems in chapter 3.4 have been answered, more than 146667 students have viewed full step-by-step solutions from this chapter. Chapter 3.4 includes 34 full step-by-step solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399.

Key Calculus Terms and definitions covered in this textbook
• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Components of a vector

See Component form of a vector.

• Dependent event

An event whose probability depends on another event already occurring

• Double-angle identity

An identity involving a trigonometric function of 2u

• Equilibrium price

See Equilibrium point.

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Inverse cotangent function

The function y = cot-1 x

• Linear programming problem

A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

• Modified boxplot

A boxplot with the outliers removed.

• nth root

See Principal nth root

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Power-reducing identity

A trigonometric identity that reduces the power to which the trigonometric functions are raised.

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Riemann sum

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

• Sample space

Set of all possible outcomes of an experiment.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Union of two sets A and B

The set of all elements that belong to A or B or both.

• Unit vector

Vector of length 1.

• Zero matrix

A matrix consisting entirely of zeros.