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# Solutions for Chapter 3.5: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 3.5

Solutions for Chapter 3.5
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##### ISBN: 9780321884077

This expansive textbook survival guide covers the following chapters and their solutions. Since 70 problems in chapter 3.5 have been answered, more than 81381 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. Chapter 3.5 includes 70 full step-by-step solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13.

Key Calculus Terms and definitions covered in this textbook
• Anchor

See Mathematical induction.

• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Bounded below

A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

• Demand curve

p = g(x), where x represents demand and p represents price

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• Extracting square roots

A method for solving equations in the form x 2 = k.

• Frequency

Reciprocal of the period of a sinusoid.

• Gaussian curve

See Normal curve.

• Graphical model

A visible representation of a numerical or algebraic model.

• Limit to growth

See Logistic growth function.

• Midpoint (in a coordinate plane)

For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• Negative linear correlation

See Linear correlation.

• Normal distribution

A distribution of data shaped like the normal curve.

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Positive angle

Angle generated by a counterclockwise rotation.

• Rose curve

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

• Sum of a finite geometric series

Sn = a111 - r n 2 1 - r

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

• Zero factorial

See n factorial.

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