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# Solutions for Chapter 13: Vector-Valued Functions and Motion in Space

## Full solutions for Thomas' Calculus | 12th Edition

ISBN: 9780321587992

Solutions for Chapter 13: Vector-Valued Functions and Motion in Space

Solutions for Chapter 13
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##### ISBN: 9780321587992

Thomas' Calculus was written by and is associated to the ISBN: 9780321587992. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 13: Vector-Valued Functions and Motion in Space includes 32 full step-by-step solutions. Since 32 problems in chapter 13: Vector-Valued Functions and Motion in Space have been answered, more than 53581 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12.

Key Calculus Terms and definitions covered in this textbook
• Common logarithm

A logarithm with base 10.

• Control

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

• Convenience sample

A sample that sacrifices randomness for convenience

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Factored form

The left side of u(v + w) = uv + uw.

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Law of sines

sin A a = sin B b = sin C c

• Line of symmetry

A line over which a graph is the mirror image of itself

• Local extremum

A local maximum or a local minimum

• Natural logarithmic function

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

• Nautical mile

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

• Negative linear correlation

See Linear correlation.

• NINT (ƒ(x), x, a, b)

A calculator approximation to ?ab ƒ(x)dx

A procedure for fitting a quadratic function to a set of data.

• Replication

The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

• Riemann sum

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

• Series

A finite or infinite sum of terms.

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

• Summation notation

The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series