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# Solutions for Chapter A.7: Errors and the Algebra of Calculus

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter A.7: Errors and the Algebra of Calculus

Solutions for Chapter A.7
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##### ISBN: 9780618643448

Since 71 problems in chapter A.7: Errors and the Algebra of Calculus have been answered, more than 39960 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Chapter A.7: Errors and the Algebra of Calculus includes 71 full step-by-step solutions. Precalculus was written by and is associated to the ISBN: 9780618643448.

Key Calculus Terms and definitions covered in this textbook
• Additive identity for the complex numbers

0 + 0i is the complex number zero

• Angle

Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

• Binomial

A polynomial with exactly two terms

• Central angle

An angle whose vertex is the center of a circle

• Coefficient of determination

The number r2 or R2 that measures how well a regression curve fits the data

• Constraints

See Linear programming problem.

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• 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

• Horizontal Line Test

A test for determining whether the inverse of a relation is a function.

• Inductive step

See Mathematical induction.

A measure that tells how widely distributed data are.

• Modified boxplot

A boxplot with the outliers removed.

• nth root of a complex number z

A complex number v such that vn = z

• Opens upward or downward

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

• Partial sums

See Sequence of partial sums.

• Perpendicular lines

Two lines that are at right angles to each other

• Randomization

The principle of experimental design that makes it possible to use the laws of probability when making inferences.

• Standard position (angle)

An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

• Sum identity

An identity involving a trigonometric function of u + v

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