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# Solutions for Chapter 8.4: COMPUTING PARTIAL DERIVATIVES ALGEBRAICALLY

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 8.4: COMPUTING PARTIAL DERIVATIVES ALGEBRAICALLY

Solutions for Chapter 8.4
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##### ISBN: 9781118174920

Chapter 8.4: COMPUTING PARTIAL DERIVATIVES ALGEBRAICALLY includes 37 full step-by-step solutions. Applied Calculus was written by and is associated to the ISBN: 9781118174920. This expansive textbook survival guide covers the following chapters and their solutions. Since 37 problems in chapter 8.4: COMPUTING PARTIAL DERIVATIVES ALGEBRAICALLY have been answered, more than 35550 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5.

Key Calculus Terms and definitions covered in this textbook
• Acute angle

An angle whose measure is between 0° and 90°

• Aphelion

The farthest point from the Sun in a planet’s orbit

• Composition of functions

(f ? g) (x) = f (g(x))

• Constant

A letter or symbol that stands for a specific number,

• Control

The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

• Cube root

nth root, where n = 3 (see Principal nth root),

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Leaf

The final digit of a number in a stemplot.

• Multiplication property of inequality

If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Polar coordinates

The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

• Quotient polynomial

See Division algorithm for polynomials.

• Random variable

A function that assigns real-number values to the outcomes in a sample space.

• Solve by elimination or substitution

Methods for solving systems of linear equations.

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

A graph in which (-x, y) is on the graph whenever (x, y) is; or a graph in which (-r, -?) or (r, ?, -?) is on the graph whenever (r, ?) is

• Weights

See Weighted mean.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

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