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# Solutions for Chapter 8: Calculus, 7th Edition ## Full solutions for Calculus, | 7th Edition

ISBN: 9780538497817 Solutions for Chapter 8

Solutions for Chapter 8
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##### ISBN: 9780538497817

Chapter 8 includes 21 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 7. Calculus, was written by and is associated to the ISBN: 9780538497817. Since 21 problems in chapter 8 have been answered, more than 7141 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Associative properties

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Conversion factor

A ratio equal to 1, used for unit conversion

• Discriminant

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

• Even function

A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

• Irrational numbers

Real numbers that are not rational, p. 2.

• Jump discontinuity at x a

limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

• Least-squares line

See Linear regression line.

• Multiplication principle of counting

A principle used to find the number of ways an event can occur.

• Natural logarithm

A logarithm with base e.

• One-to-one rule of exponents

x = y if and only if bx = by.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Quotient rule of logarithms

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

• Right triangle

A triangle with a 90° angle.

• Subtraction

a - b = a + (-b)

• Transformation

A function that maps real numbers to real numbers.

• Vector

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

• Whole numbers

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

• Wrapping function

The function that associates points on the unit circle with points on the real number line

• y-intercept

A point that lies on both the graph and the y-axis.

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