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# Solutions for Chapter 2.1: The Tangent and Velocity Problems

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

ISBN: 9780538497909

Solutions for Chapter 2.1: The Tangent and Velocity Problems

Solutions for Chapter 2.1
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##### ISBN: 9780538497909

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. Since 12 problems in chapter 2.1: The Tangent and Velocity Problems have been answered, more than 29764 students have viewed full step-by-step solutions from this chapter. Chapter 2.1: The Tangent and Velocity Problems includes 12 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a complex number

The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

• Binomial

A polynomial with exactly two terms

• Combinations of n objects taken r at a time

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

• Degree

Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

• Double-blind experiment

A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• General form (of a line)

Ax + By + C = 0, where A and B are not both zero.

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Interquartile range

The difference between the third quartile and the first quartile.

• Lower bound test for real zeros

A test for finding a lower bound for the real zeros of a polynomial

• Multiplication principle of probability

If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

• Multiplicative identity for matrices

See Identity matrix

• Natural logarithm

A logarithm with base e.

• Opposite

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

• Phase shift

See Sinusoid.

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Statistic

A number that measures a quantitative variable for a sample from a population.

• Sum of an infinite series

See Convergence of a series

• Time plot

A line graph in which time is measured on the horizontal axis.

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