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# Solutions for Chapter 7.4: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 7.4

Solutions for Chapter 7.4
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##### ISBN: 9780321884077

This expansive textbook survival guide covers the following chapters and their solutions. Since 26 problems in chapter 7.4 have been answered, more than 156984 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Chapter 7.4 includes 26 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Conditional probability

The probability of an event A given that an event B has already occurred

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• equation of an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• First quartile

See Quartile.

• Geometric series

A series whose terms form a geometric sequence.

• Independent events

Events A and B such that P(A and B) = P(A)P(B)

• Inverse cosine function

The function y = cos-1 x

• Inverse function

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

• Logistic growth function

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

• 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)

• Pie chart

See Circle graph.

• Polar axis

See Polar coordinate system.

• Probability distribution

The collection of probabilities of outcomes in a sample space assigned by a probability function.

• Reciprocal of a real number

See Multiplicative inverse of a real number.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• Square matrix

A matrix whose number of rows equals the number of columns.

• Window dimensions

The restrictions on x and y that specify a viewing window. See Viewing window.

• xz-plane

The points x, 0, z in Cartesian space.

• Zero matrix

A matrix consisting entirely of zeros.