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# Solutions for Chapter 13.6: Directional Derivatives and Gradients

## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Solutions for Chapter 13.6: Directional Derivatives and Gradients

Solutions for Chapter 13.6
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##### ISBN: 9780618502981

Calculus was written by and is associated to the ISBN: 9780618502981. Chapter 13.6: Directional Derivatives and Gradients includes 81 full step-by-step solutions. Since 81 problems in chapter 13.6: Directional Derivatives and Gradients have been answered, more than 76554 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8.

Key Calculus Terms and definitions covered in this textbook
• Amplitude

See Sinusoid.

• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Blocking

A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

• Branches

The two separate curves that make up a hyperbola

• Common difference

See Arithmetic sequence.

• Conic section (or conic)

A curve obtained by intersecting a double-napped right circular cone with a plane

• Cosecant

The function y = csc x

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Graph of an equation in x and y

The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

• Minor axis

The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

• One-to-one rule of exponents

x = y if and only if bx = by.

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

• Outcomes

The various possible results of an experiment.

• Reflexive property of equality

a = a

• Row echelon form

A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Sine

The function y = sin x.

• Symmetric property of equality

If a = b, then b = a

• Terminal side of an angle

See Angle.

• Transitive property

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

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