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# Solutions for Chapter 12: Vector-Valued Functions ## Full solutions for Calculus | 9th Edition

ISBN: 9780547167022 Solutions for Chapter 12: Vector-Valued Functions

Solutions for Chapter 12
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##### ISBN: 9780547167022

Calculus was written by and is associated to the ISBN: 9780547167022. This expansive textbook survival guide covers the following chapters and their solutions. Since 78 problems in chapter 12: Vector-Valued Functions have been answered, more than 46650 students have viewed full step-by-step solutions from this chapter. Chapter 12: Vector-Valued Functions includes 78 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus , edition: 9.

Key Calculus Terms and definitions covered in this textbook
• Absolute maximum

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

• Anchor

See Mathematical induction.

• Binomial coefficients

The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• End behavior asymptote of a rational function

A polynomial that the function approaches as.

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Inferential statistics

Using the science of statistics to make inferences about the parameters in a population from a sample.

• Linear equation in x

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

• Linear inequality in x

An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• n factorial

For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

• n-set

A set of n objects.

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

• Quotient identities

tan ?= sin ?cos ?and cot ?= cos ? sin ?

• Rational zeros theorem

A procedure for finding the possible rational zeros of a polynomial.

• Remainder theorem

If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

• Richter scale

A logarithmic scale used in measuring the intensity of an earthquake.

• Scatter plot

A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

• Solution of a system in two variables

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

• Unit vector

Vector of length 1.

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