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 2749 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
• Addition property of equality

If u = v and w = z , then u + w = v + z

• Differentiable at x = a

ƒ'(a) exists

• Equilibrium point

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

• General form (of a line)

Ax + By + C = 0, where A and B are not both zero.

• Grapher or graphing utility

Graphing calculator or a computer with graphing software.

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Multiplication principle of probability

If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

• Multiplication property of equality

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

• Nonsingular matrix

A square matrix with nonzero determinant

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Parameter

See Parametric equations.

• Period

See Periodic function.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Scalar

A real number.

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

• xz-plane

The points x, 0, z in Cartesian space.

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