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# Solutions for Chapter 6.3: Vectors in the Plane ## Full solutions for Precalculus with Limits | 3rd Edition

ISBN: 9781133947202 Solutions for Chapter 6.3: Vectors in the Plane

Solutions for Chapter 6.3
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##### ISBN: 9781133947202

This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. Chapter 6.3: Vectors in the Plane includes 114 full step-by-step solutions. Since 114 problems in chapter 6.3: Vectors in the Plane have been answered, more than 34648 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Angle of depression

The acute angle formed by the line of sight (downward) and the horizontal

• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• Base

See Exponential function, Logarithmic function, nth power of a.

• Blind experiment

An experiment in which subjects do not know if they have been given an active treatment or a placebo

• 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.

• Closed interval

An interval that includes its endpoints

• Continuous function

A function that is continuous on its entire domain

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Higher-degree polynomial function

A polynomial function whose degree is ? 3

• Implied domain

The domain of a function’s algebraic expression.

• Instantaneous velocity

The instantaneous rate of change of a position function with respect to time, p. 737.

• Logistic growth function

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• n factorial

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

• Parametrization

A set of parametric equations for a curve.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

• Reciprocal function

The function ƒ(x) = 1x

• Secant line of ƒ

A line joining two points of the graph of ƒ.

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