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# Solutions for Chapter 14.3: Partial Derivatives

## Full solutions for Calculus: Early Transcendentals | 3rd Edition

ISBN: 9781464114885

Solutions for Chapter 14.3: Partial Derivatives

Solutions for Chapter 14.3
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##### ISBN: 9781464114885

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885. Since 84 problems in chapter 14.3: Partial Derivatives have been answered, more than 42037 students have viewed full step-by-step solutions from this chapter. Chapter 14.3: Partial Derivatives includes 84 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Categorical variable

In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Equation

A statement of equality between two expressions.

• Explicitly defined sequence

A sequence in which the kth term is given as a function of k.

• Gaussian curve

See Normal curve.

• Index of summation

See Summation notation.

• Instantaneous rate of change

See Derivative at x = a.

• Inverse reflection principle

If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

• Irrational zeros

Zeros of a function that are irrational numbers.

• Negative numbers

Real numbers shown to the left of the origin on a number line.

• 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

• Positive angle

Angle generated by a counterclockwise rotation.

• Quotient polynomial

See Division algorithm for polynomials.

• Re-expression of data

A transformation of a data set.

• Solution set of an inequality

The set of all solutions of an inequality

• Solve graphically

Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

• Translation

See Horizontal translation, Vertical translation.

• xz-plane

The points x, 0, z in Cartesian space.

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