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# Solutions for Chapter 1: Calculus:Early Transcendentals 7th Edition ## Full solutions for Calculus:Early Transcendentals | 7th Edition

ISBN: 9780131569898 Solutions for Chapter 1

Solutions for Chapter 1
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##### ISBN: 9780131569898

Calculus:Early Transcendentals was written by and is associated to the ISBN: 9780131569898. Chapter 1 includes 70 full step-by-step solutions. Since 70 problems in chapter 1 have been answered, more than 9984 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.

Key Calculus Terms and definitions covered in this textbook
• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• Chord of a conic

A line segment with endpoints on the conic

• Combinations of n objects taken r at a time

There are nCr = n! r!1n - r2! such combinations,

• Coordinate(s) of a point

The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• Divisor of a polynomial

See Division algorithm for polynomials.

• Equivalent equations (inequalities)

Equations (inequalities) that have the same solutions.

• Explanatory variable

A variable that affects a response variable.

• Graph of an equation in x and y

The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

• Histogram

A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

• Irreducible quadratic over the reals

A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

• Law of sines

sin A a = sin B b = sin C c

• 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

• Opens upward or downward

A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

• Power-reducing identity

A trigonometric identity that reduces the power to which the trigonometric functions are raised.

• Richter scale

A logarithmic scale used in measuring the intensity of an earthquake.

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Zero factor property

If ab = 0 , then either a = 0 or b = 0.

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