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# Solutions for Chapter 4.2: Area

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

ISBN: 9780618149162

Solutions for Chapter 4.2: Area

Solutions for Chapter 4.2
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##### ISBN: 9780618149162

Since 83 problems in chapter 4.2: Area have been answered, more than 23758 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. Chapter 4.2: Area includes 83 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• Circle graph

A circular graphical display of categorical data

• Directed angle

See Polar coordinates.

• Equivalent systems of equations

Systems of equations that have the same solution.

• Identity function

The function ƒ(x) = x.

• Intercepted arc

Arc of a circle between the initial side and terminal side of a central angle.

• Limaçon

A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

• Median (of a data set)

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

• Mode of a data set

The category or number that occurs most frequently in the set.

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Perpendicular lines

Two lines that are at right angles to each other

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Rigid transformation

A transformation that leaves the basic shape of a graph unchanged.

• Root of an equation

A solution.

• Sum of complex numbers

(a + bi) + (c + di) = (a + c) + (b + d)i

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

• Viewing window

The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

• Xmax

The x-value of the right side of the viewing window,.

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