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# Solutions for Chapter 4.6: A Summary of Curve Sketching

## Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245

Solutions for Chapter 4.6: A Summary of Curve Sketching

Solutions for Chapter 4.6
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##### ISBN: 9780618606245

This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Chapter 4.6: A Summary of Curve Sketching includes 99 full step-by-step solutions. Since 99 problems in chapter 4.6: A Summary of Curve Sketching have been answered, more than 39492 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Acute triangle

A triangle in which all angles measure less than 90°

• Base

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

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Division

a b = aa 1 b b, b Z 0

• End behavior asymptote of a rational function

A polynomial that the function approaches as.

• Gaussian curve

See Normal curve.

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Normal curve

The graph of ƒ(x) = e-x2/2

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Paraboloid of revolution

A surface generated by rotating a parabola about its line of symmetry.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Quotient rule of logarithms

logb a R S b = logb R - logb S, R > 0, S > 0

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Speed

The magnitude of the velocity vector, given by distance/time.

• Standard form of a polynomial function

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

• Statute mile

5280 feet.

• Union of two sets A and B

The set of all elements that belong to A or B or both.

• Ymin

The y-value of the bottom of the viewing window.

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