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# Solutions for Chapter 9.1: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 9.1

Solutions for Chapter 9.1
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##### ISBN: 9780321884077

Chapter 9.1 includes 42 full step-by-step solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Since 42 problems in chapter 9.1 have been answered, more than 67324 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077.

Key Calculus Terms and definitions covered in this textbook
• Argument of a complex number

The argument of a + bi is the direction angle of the vector {a,b}.

• Axis of symmetry

See Line of symmetry.

• Complex fraction

See Compound fraction.

• Composition of functions

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

• Compound interest

Interest that becomes part of the investment

• Constraints

See Linear programming problem.

• Convenience sample

A sample that sacrifices randomness for convenience

• Endpoint of an interval

A real number that represents one “end” of an interval.

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Horizontal line

y = b.

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Law of sines

sin A a = sin B b = sin C c

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Perihelion

The closest point to the Sun in a planet’s orbit.

• Point-slope form (of a line)

y - y1 = m1x - x 12.

• Stretch of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.

• Summation notation

The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

• Transpose of a matrix

The matrix AT obtained by interchanging the rows and columns of A.

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

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