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# Solutions for Chapter 6: Calculus:Early Transcendentals 7th Edition

## Full solutions for Calculus:Early Transcendentals | 7th Edition

ISBN: 9780131569898

Solutions for Chapter 6

Solutions for Chapter 6
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##### ISBN: 9780131569898

Since 115 problems in chapter 6 have been answered, more than 9228 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus:Early Transcendentals, edition: 7. Chapter 6 includes 115 full step-by-step solutions. Calculus:Early Transcendentals was written by and is associated to the ISBN: 9780131569898.

Key Calculus Terms and definitions covered in this textbook
• Additive identity for the complex numbers

0 + 0i is the complex number zero

• 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.

• Cardioid

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

• Central angle

An angle whose vertex is the center of a circle

• Compounded annually

See Compounded k times per year.

• Direction vector for a line

A vector in the direction of a line in three-dimensional space

• Equation

A statement of equality between two expressions.

• Expanded form of a series

A series written explicitly as a sum of terms (not in summation notation).

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• 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

• Opposite

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

• Polynomial function

A function in which ƒ(x)is a polynomial in x, p. 158.

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Pythagorean

Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

• Reflection across the x-axis

x, y and (x,-y) are reflections of each other across the x-axis.

• Solve a triangle

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

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

• Symmetric property of equality

If a = b, then b = a

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• Zero of a function

A value in the domain of a function that makes the function value zero.

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