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# Solutions for Chapter 7.1: The Three-Dimensional Coordinate System ## Full solutions for Brief Calculus: An Applied Approach | 7th Edition

ISBN: 9780618547197 Solutions for Chapter 7.1: The Three-Dimensional Coordinate System

Solutions for Chapter 7.1
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##### ISBN: 9780618547197

This textbook survival guide was created for the textbook: Brief Calculus: An Applied Approach , edition: 7. Chapter 7.1: The Three-Dimensional Coordinate System includes 48 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Brief Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618547197. Since 48 problems in chapter 7.1: The Three-Dimensional Coordinate System have been answered, more than 23925 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Angle

Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

• Common logarithm

A logarithm with base 10.

• Confounding variable

A third variable that affects either of two variables being studied, making inferences about causation unreliable

• Cube root

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

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Exponential form

An equation written with exponents instead of logarithms.

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Inverse cotangent function

The function y = cot-1 x

• Leaf

The final digit of a number in a stemplot.

• Magnitude of an arrow

The magnitude of PQ is the distance between P and Q

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• Pascal’s triangle

A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

• Polar axis

See Polar coordinate system.

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• Reciprocal identity

An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

• Reference triangle

For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

• Standard deviation

A measure of how a data set is spread

• Standard form of a complex number

a + bi, where a and b are real numbers

• Vertical component

See Component form of a vector.

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