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# Solutions for Chapter 11-7: Chapter Review and Test

## Full solutions for Calculus: Concepts and Applications | 2nd Edition

ISBN: 9781559536547

Solutions for Chapter 11-7: Chapter Review and Test

Solutions for Chapter 11-7
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##### ISBN: 9781559536547

This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. Since 10 problems in chapter 11-7: Chapter Review and Test have been answered, more than 21639 students have viewed full step-by-step solutions from this chapter. Chapter 11-7: Chapter Review and Test includes 10 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Center

The central point in a circle, ellipse, hyperbola, or sphere

• Common ratio

See Geometric sequence.

• Conic section (or conic)

A curve obtained by intersecting a double-napped right circular cone with a plane

• Constant term

See Polynomial function

• Cubic

A degree 3 polynomial function

• Equivalent equations (inequalities)

Equations (inequalities) that have the same solutions.

• First octant

The points (x, y, z) in space with x > 0 y > 0, and z > 0.

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Hypotenuse

Side opposite the right angle in a right triangle.

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• 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

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Row echelon form

A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Slant line

A line that is neither horizontal nor vertical

• Solve a triangle

To find one or more unknown sides or angles of a triangle

• Standard deviation

A measure of how a data set is spread

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

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