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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 8117 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
• Circle

A set of points in a plane equally distant from a fixed point called the center

• Common difference

See Arithmetic sequence.

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Discriminant

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• General form (of a line)

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

• Imaginary part of a complex number

See Complex number.

• Infinite sequence

A function whose domain is the set of all natural numbers.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Law of sines

sin A a = sin B b = sin C c

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Polar equation

An equation in r and ?.

• Polar form of a complex number

See Trigonometric form of a complex number.

• Solve by elimination or substitution

Methods for solving systems of linear equations.

• Terminal side of an angle

See Angle.

• Weighted mean

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

• Yscl

The scale of the tick marks on the y-axis in a viewing window.

• Zoom out

A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).