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Solutions for Chapter 14: Partial Derivatives

Full solutions for Thomas' Calculus Early Transcendentals | 12th Edition

ISBN: 9780321588760

Solutions for Chapter 14: Partial Derivatives

Solutions for Chapter 14
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ISBN: 9780321588760

Chapter 14: Partial Derivatives includes 102 full step-by-step solutions. Since 102 problems in chapter 14: Partial Derivatives have been answered, more than 2047 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Thomas' Calculus Early Transcendentals, edition: 12. Thomas' Calculus Early Transcendentals was written by and is associated to the ISBN: 9780321588760. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Boxplot (or box-and-whisker plot)

A graph that displays a five-number summary

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Demand curve

p = g(x), where x represents demand and p represents price

• Descriptive statistics

The gathering and processing of numerical information

• Equally likely outcomes

Outcomes of an experiment that have the same probability of occurring.

• Equilibrium point

A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

• Exponential form

An equation written with exponents instead of logarithms.

• Extracting square roots

A method for solving equations in the form x 2 = k.

• Hypotenuse

Side opposite the right angle in a right triangle.

• Multiplication property of equality

If u = v and w = z, then uw = vz

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Period

See Periodic function.

• Perpendicular lines

Two lines that are at right angles to each other

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• Square matrix

A matrix whose number of rows equals the number of columns.

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• Vertical translation

A shift of a graph up or down.

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