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# Solutions for Chapter 13.3: Partial Derivatives ## Full solutions for Calculus | 9th Edition

ISBN: 9780547167022 Solutions for Chapter 13.3: Partial Derivatives

Solutions for Chapter 13.3
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##### ISBN: 9780547167022

This textbook survival guide was created for the textbook: Calculus , edition: 9. Since 136 problems in chapter 13.3: Partial Derivatives have been answered, more than 61093 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Calculus was written by and is associated to the ISBN: 9780547167022. Chapter 13.3: Partial Derivatives includes 136 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a vector

See Magnitude of a vector.

• Ambiguous case

The case in which two sides and a nonincluded angle can determine two different triangles

• Arccosine function

See Inverse cosine function.

• Bar chart

A rectangular graphical display of categorical data.

• Divisor of a polynomial

See Division algorithm for polynomials.

• Domain of a function

The set of all input values for a function

• Equilibrium price

See Equilibrium point.

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• Limaçon

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

• Limit to growth

See Logistic growth function.

• Magnitude of an arrow

The magnitude of PQ is the distance between P and Q

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• Median (of a data set)

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

• Quartic regression

A procedure for fitting a quartic function to a set of data.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• Series

A finite or infinite sum of terms.

• Slope-intercept form (of a line)

y = mx + b

• Solve a system

To find all solutions of a system.

• Speed

The magnitude of the velocity vector, given by distance/time.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

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