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Solutions for Chapter 2: Differentiation

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 2: Differentiation

Solutions for Chapter 2
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Textbook: Vector Calculus
Edition: 6
Author: Jerrold E. Marsden; Anthony Tromba
ISBN: 9781429215084

Vector Calculus was written by and is associated to the ISBN: 9781429215084. This textbook survival guide was created for the textbook: Vector Calculus, edition: 6. Chapter 2: Differentiation includes 35 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 35 problems in chapter 2: Differentiation have been answered, more than 3030 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Associative properties

    a + (b + c) = (a + b) + c, a(bc) = (ab)c.

  • 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

  • Complements or complementary angles

    Two angles of positive measure whose sum is 90°

  • Compounded continuously

    Interest compounded using the formula A = Pert

  • Cotangent

    The function y = cot x

  • Cube root

    nth root, where n = 3 (see Principal nth root),

  • Division

    a b = aa 1 b b, b Z 0

  • Horizontal translation

    A shift of a graph to the left or right.

  • Implied domain

    The domain of a function’s algebraic expression.

  • Multiplication property of equality

    If u = v and w = z, then uw = vz

  • Multiplicative inverse of a real number

    The reciprocal of b, or 1/b, b Z 0

  • Nonsingular matrix

    A square matrix with nonzero determinant

  • 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 ?

  • Re-expression of data

    A transformation of a data set.

  • Real zeros

    Zeros of a function that are real numbers.

  • Relevant domain

    The portion of the domain applicable to the situation being modeled.

  • Rigid transformation

    A transformation that leaves the basic shape of a graph unchanged.

  • Solve by substitution

    Method for solving systems of linear equations.

  • Vector equation for a line in space

    The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

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