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

## Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245

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

Solutions for Chapter 12.2
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##### ISBN: 9780618606245

Chapter 12.2: Differentiation and Integration of Vector-Valued Functions includes 87 full step-by-step solutions. 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: 4. Since 87 problems in chapter 12.2: Differentiation and Integration of Vector-Valued Functions have been answered, more than 39113 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245.

Key Calculus Terms and definitions covered in this textbook
• Circle

A set of points in a plane equally distant from a fixed point called the center

• Commutative properties

a + b = b + a ab = ba

• Compound interest

Interest that becomes part of the investment

• Constant

A letter or symbol that stands for a specific number,

• Cotangent

The function y = cot x

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Direct variation

See Power function.

• Dot product

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

• Graph of a relation

The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

A measure that tells how widely distributed data are.

• Median (of a data set)

The middle number (or the mean of the two middle numbers) if the data are listed in order.

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Placebo

In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

• Rectangular coordinate system

See Cartesian coordinate system.

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• x-intercept

A point that lies on both the graph and the x-axis,.

• xz-plane

The points x, 0, z in Cartesian space.

• yz-plane

The points (0, y, z) in Cartesian space.

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