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# Solutions for Chapter 12.2: Differentiation and Integration of Vector-Valued Functions

## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter 12.2: Differentiation and Integration of Vector-Valued Functions

Solutions for Chapter 12.2
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##### ISBN: 9781285774770

Chapter 12.2: Differentiation and Integration of Vector-Valued Functions includes 82 full step-by-step solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Since 82 problems in chapter 12.2: Differentiation and Integration of Vector-Valued Functions have been answered, more than 169159 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6.

Key Calculus Terms and definitions covered in this textbook
• Arccotangent function

See Inverse cotangent function.

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Combination

An arrangement of elements of a set, in which order is not important

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Compounded monthly

See Compounded k times per year.

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Horizontal component

See Component form of a vector.

• Imaginary axis

See Complex plane.

• Linear programming problem

A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

• Multiplication principle of probability

If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

• Nappe

See Right circular cone.

• Pole

See Polar coordinate system.

• Quantitative variable

A variable (in statistics) that takes on numerical values for a characteristic being measured.

• Re-expression of data

A transformation of a data set.

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Secant line of ƒ

A line joining two points of the graph of ƒ.

• Solve an equation or inequality

To find all solutions of the equation or inequality

• Standard form of a polar equation of a conic

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

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

• Yscl

The scale of the tick marks on the y-axis in a viewing window.