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# Solutions for Chapter 2.1: A Preview of Calculus

## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter 2.1: A Preview of Calculus

Solutions for Chapter 2.1
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##### ISBN: 9781285774770

Chapter 2.1: A Preview of Calculus includes 10 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Since 10 problems in chapter 2.1: A Preview of Calculus have been answered, more than 45412 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Composition of functions

(f ? g) (x) = f (g(x))

• Directed line segment

See Arrow.

• Focal axis

The line through the focus and perpendicular to the directrix of a conic.

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Inverse cosecant function

The function y = csc-1 x

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Linear regression line

The line for which the sum of the squares of the residuals is the smallest possible

• Median (of a data set)

The middle number (or the mean of the two middle numbers) if the data are listed in order.

• Negative linear correlation

See Linear correlation.

• Order of magnitude (of n)

log n.

• Remainder theorem

If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• Sample space

Set of all possible outcomes of an experiment.

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Sine

The function y = sin x.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Standard deviation

A measure of how a data set is spread

• Stretch of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

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