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# Solutions for Chapter 14.4: TANGENT PLANES AND LINEAR APPROXIMATIONS

## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879

Solutions for Chapter 14.4: TANGENT PLANES AND LINEAR APPROXIMATIONS

Solutions for Chapter 14.4
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##### ISBN: 9780538497879

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 14.4: TANGENT PLANES AND LINEAR APPROXIMATIONS includes 46 full step-by-step solutions. Since 46 problems in chapter 14.4: TANGENT PLANES AND LINEAR APPROXIMATIONS have been answered, more than 20837 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879.

Key Calculus Terms and definitions covered in this textbook
• Bounded interval

An interval that has finite length (does not extend to ? or -?)

• Compounded annually

See Compounded k times per year.

• Conic section (or conic)

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

• End behavior

The behavior of a graph of a function as.

• Frequency

Reciprocal of the period of a sinusoid.

• Graph of a polar equation

The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

• Infinite limit

A special case of a limit that does not exist.

• Inverse function

The inverse relation of a one-to-one function.

• Linear inequality in x

An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

• Multiplicative inverse of a complex number

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

• One-to-one rule of exponents

x = y if and only if bx = by.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

• Rational expression

An expression that can be written as a ratio of two polynomials.

• 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.

• Standard deviation

A measure of how a data set is spread

• Unbounded interval

An interval that extends to -? or ? (or both).

• x-axis

Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.

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