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# Solutions for Chapter 5: Calculus: Early Transcendentals 8th Edition

## Full solutions for Calculus: Early Transcendentals | 8th Edition

ISBN: 9781285741550

Solutions for Chapter 5

Solutions for Chapter 5
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##### ISBN: 9781285741550

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781285741550. Chapter 5 includes 73 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Since 73 problems in chapter 5 have been answered, more than 7394 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook

If u = v and w = z , then u + w = v + z

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Conversion factor

A ratio equal to 1, used for unit conversion

• Cotangent

The function y = cot x

• Equilibrium price

See Equilibrium point.

• Event

A subset of a sample space.

• First octant

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

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Initial point

See Arrow.

• Interquartile range

The difference between the third quartile and the first quartile.

• Interval notation

Notation used to specify intervals, pp. 4, 5.

• Limit to growth

See Logistic growth function.

• Line graph

A graph of data in which consecutive data points are connected by line segments

• Median (of a data set)

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

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• Normal curve

The graph of ƒ(x) = e-x2/2

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• Supply curve

p = ƒ(x), where x represents production and p represents price

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