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# Solutions for Chapter 3.4: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 3.4

Solutions for Chapter 3.4
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##### ISBN: 9780321884077

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 3.4 includes 36 full step-by-step solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Since 36 problems in chapter 3.4 have been answered, more than 177703 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13.

Key Calculus Terms and definitions covered in this textbook
• Base

See Exponential function, Logarithmic function, nth power of a.

• Coordinate(s) of a point

The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• Fundamental

Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

• Initial value of a function

ƒ 0.

• Inverse function

The inverse relation of a one-to-one function.

• Least-squares line

See Linear regression line.

• LRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval

• Natural exponential function

The function ƒ1x2 = ex.

• Normal distribution

A distribution of data shaped like the normal curve.

• Odd-even identity

For a basic trigonometric function f, an identity relating f(x) to f(-x).

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Periodic function

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

• Quartic function

A degree 4 polynomial function.

• Randomization

The principle of experimental design that makes it possible to use the laws of probability when making inferences.

• Sum of two vectors

<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

• Terminal point

See Arrow.

• Variable (in statistics)

A characteristic of individuals that is being identified or measured.

• y-axis

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