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Solutions for Chapter 11.5: Calculus: Early Transcendentals 1st Edition

Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567

Solutions for Chapter 11.5

Solutions for Chapter 11.5
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ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Chapter 11.5 includes 60 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 60 problems in chapter 11.5 have been answered, more than 140583 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• 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

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Expanded form

The right side of u(v + w) = uv + uw.

• Inverse secant function

The function y = sec-1 x

• Inverse sine function

The function y = sin-1 x

• Lemniscate

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• Midpoint (in a coordinate plane)

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

• Multiplicative inverse of a complex number

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

• Normal distribution

A distribution of data shaped like the normal curve.

• nth root of a complex number z

A complex number v such that vn = z

• Phase shift

See Sinusoid.

• Second quartile

See Quartile.

• Solve a triangle

To find one or more unknown sides or angles of a triangle

• Spiral of Archimedes

The graph of the polar curve.

• Sum identity

An identity involving a trigonometric function of u + v

• x-coordinate

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

• z-axis

Usually the third dimension in Cartesian space.

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