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# Solutions for Chapter 14.2: LIMITS AND CONTINUITY ## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879 Solutions for Chapter 14.2: LIMITS AND CONTINUITY

Solutions for Chapter 14.2
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##### ISBN: 9780538497879

Since 46 problems in chapter 14.2: LIMITS AND CONTINUITY have been answered, more than 23579 students have viewed full step-by-step solutions from this chapter. Chapter 14.2: LIMITS AND CONTINUITY includes 46 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7.

Key Calculus Terms and definitions covered in this textbook
• Arccotangent function

See Inverse cotangent function.

• Arcsine function

See Inverse sine function.

• Boxplot (or box-and-whisker plot)

A graph that displays a five-number summary

• Constant function (on an interval)

ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

• Interval notation

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

• Left-hand limit of f at x a

The limit of ƒ as x approaches a from the left.

• Lemniscate

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

• Linear regression

A procedure for finding the straight line that is the best fit for the data

• Normal distribution

A distribution of data shaped like the normal curve.

• Numerical model

A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

• Perihelion

The closest point to the Sun in a planet’s orbit.

• Root of a number

See Principal nth root.

• Secant

The function y = sec x.

• Solve algebraically

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

• Stretch of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.

• Sum of functions

(ƒ + g)(x) = ƒ(x) + g(x)

• Terminal side of an angle

See Angle.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Venn diagram

A visualization of the relationships among events within a sample space.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

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