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Get Full Access to Calculus - Textbook Survival Guide
Get Full Access to Calculus - Textbook Survival Guide
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# Solutions for Chapter 12.2: CALCULUS OF VECTOR-VALUED FUNCTIONS

## Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691

Solutions for Chapter 12.2: CALCULUS OF VECTOR-VALUED FUNCTIONS

Solutions for Chapter 12.2
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##### ISBN: 9780470647691

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. Since 60 problems in chapter 12.2: CALCULUS OF VECTOR-VALUED FUNCTIONS have been answered, more than 38387 students have viewed full step-by-step solutions from this chapter. Chapter 12.2: CALCULUS OF VECTOR-VALUED FUNCTIONS includes 60 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• Bounded above

A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Elimination method

A method of solving a system of linear equations

• Equation

A statement of equality between two expressions.

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Intercept

Point where a curve crosses the x-, y-, or z-axis in a graph.

• Interval notation

Notation used to specify intervals, pp. 4, 5.

• Inverse composition rule

The composition of a one-toone function with its inverse results in the identity function.

• Inverse cosecant function

The function y = csc-1 x

• Length of an arrow

See Magnitude of an arrow.

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• Natural logarithmic regression

A procedure for fitting a logarithmic curve to a set of data.

• Nautical mile

Length of 1 minute of arc along the Earth’s equator.

• One-to-one function

A function in which each element of the range corresponds to exactly one element in the domain

• Removable discontinuity at x = a

lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

• Terminal side of an angle

See Angle.

• Vertical translation

A shift of a graph up or down.

• z-axis

Usually the third dimension in Cartesian space.

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