×
×

# Solutions for Chapter A.1: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter A.1

Solutions for Chapter A.1
4 5 0 328 Reviews
28
4
##### ISBN: 9780321884077

Since 30 problems in chapter A.1 have been answered, more than 82493 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. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This expansive textbook survival guide covers the following chapters and their solutions. Chapter A.1 includes 30 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Complex plane

A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

• Composition of functions

(f ? g) (x) = f (g(x))

• Constant function (on an interval)

ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• 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

• Ellipse

The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

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

An equation that can be written in the form.

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Index of summation

See Summation notation.

• Minute

Angle measure equal to 1/60 of a degree.

• Objective function

See Linear programming problem.

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

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

• Rose curve

A graph of a polar equation or r = a cos nu.

• Semiperimeter of a triangle

One-half of the sum of the lengths of the sides of a triangle.

• Solution of an equation or inequality

A value of the variable (or values of the variables) for which the equation or inequality is true

• Statistic

A number that measures a quantitative variable for a sample from a population.

• Variation

See Power function.

• Vertex of a cone

See Right circular cone.

×