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Solutions for Chapter 1: The Geometry of Euclidean Space

Vector Calculus | 6th Edition | ISBN: 9781429215084 | Authors: Jerrold E. Marsden; Anthony Tromba

Full solutions for Vector Calculus | 6th Edition

ISBN: 9781429215084

Vector Calculus | 6th Edition | ISBN: 9781429215084 | Authors: Jerrold E. Marsden; Anthony Tromba

Solutions for Chapter 1: The Geometry of Euclidean Space

Solutions for Chapter 1
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Textbook: Vector Calculus
Edition: 6
Author: Jerrold E. Marsden; Anthony Tromba
ISBN: 9781429215084

This expansive textbook survival guide covers the following chapters and their solutions. Vector Calculus was written by and is associated to the ISBN: 9781429215084. Since 57 problems in chapter 1: The Geometry of Euclidean Space have been answered, more than 3080 students have viewed full step-by-step solutions from this chapter. Chapter 1: The Geometry of Euclidean Space includes 57 full step-by-step solutions. This textbook survival guide was created for the textbook: Vector Calculus, edition: 6.

Key Calculus Terms and definitions covered in this textbook
  • Causation

    A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

  • Common logarithm

    A logarithm with base 10.

  • Compounded annually

    See Compounded k times per year.

  • Coordinate plane

    See Cartesian coordinate system.

  • Directed angle

    See Polar coordinates.

  • Equilibrium point

    A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

  • Limit at infinity

    limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

  • Linear regression line

    The line for which the sum of the squares of the residuals is the smallest possible

  • Order of an m x n matrix

    The order of an m x n matrix is m x n.

  • Pascal’s triangle

    A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

  • Probability function

    A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

  • Quotient identities

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

  • Reciprocal of a real number

    See Multiplicative inverse of a real number.

  • Reflection through the origin

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

  • Response variable

    A variable that is affected by an explanatory variable.

  • 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

  • Standard form of a polynomial function

    ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

  • Work

    The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

  • z-axis

    Usually the third dimension in Cartesian space.

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