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Get Full Access to Calculus - Textbook Survival Guide
Get Full Access to Calculus - Textbook Survival Guide
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# Solutions for Chapter 1: Single Variable Calculus 7th Edition

## Full solutions for Single Variable Calculus | 7th Edition

ISBN: 9780538497831

Solutions for Chapter 1

Solutions for Chapter 1
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##### ISBN: 9780538497831

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Single Variable Calculus, edition: 7. Since 49 problems in chapter 1 have been answered, more than 4979 students have viewed full step-by-step solutions from this chapter. Single Variable Calculus was written by and is associated to the ISBN: 9780538497831. Chapter 1 includes 49 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Ambiguous case

The case in which two sides and a nonincluded angle can determine two different triangles

• Base

See Exponential function, Logarithmic function, nth power of a.

• Cardioid

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

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Commutative properties

a + b = b + a ab = ba

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• 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.

• Horizontal shrink or stretch

See Shrink, stretch.

• Identity function

The function ƒ(x) = x.

• Irrational zeros

Zeros of a function that are irrational numbers.

• Linear correlation

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

• Local extremum

A local maximum or a local minimum

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Multiplicative inverse of a matrix

See Inverse of a matrix

• Reference triangle

For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

• Slope-intercept form (of a line)

y = mx + b

• Transpose of a matrix

The matrix AT obtained by interchanging the rows and columns of A.

• Vertical component

See Component form of a vector.

• Vertical line

x = a.

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