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# Solutions for Chapter 14.4: TANGENT PLANES AND LINEAR APPROXIMATIONS ## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879 Solutions for Chapter 14.4: TANGENT PLANES AND LINEAR APPROXIMATIONS

Solutions for Chapter 14.4
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##### ISBN: 9780538497879

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 14.4: TANGENT PLANES AND LINEAR APPROXIMATIONS includes 46 full step-by-step solutions. Since 46 problems in chapter 14.4: TANGENT PLANES AND LINEAR APPROXIMATIONS have been answered, more than 11328 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. Multivariable Calculus, was written by Patricia and is associated to the ISBN: 9780538497879.

Key Calculus Terms and definitions covered in this textbook
• Augmented matrix

A matrix that represents a system of equations.

• Closed interval

An interval that includes its endpoints

• Directed line segment

See Arrow.

• Half-plane

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

• Left-hand limit of f at x a

The limit of ƒ as x approaches a from the left.

• 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

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• Lower bound test for real zeros

A test for finding a lower bound for the real zeros of a polynomial

• Periodic function

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Random behavior

Behavior that is determined only by the laws of probability.

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Right triangle

A triangle with a 90° angle.

• Speed

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

• Standard representation of a vector

A representative arrow with its initial point at the origin

• Terminal side of an angle

See Angle.

• Union of two sets A and B

The set of all elements that belong to A or B or both.

• Vertex of a cone

See Right circular cone.

• Xmin

The x-value of the left side of the 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).

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