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Solutions for Chapter 7.1: Linear and Nonlinear Systems of Equations

Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 7.1: Linear and Nonlinear Systems of Equations

Solutions for Chapter 7.1
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Textbook: Precalculus
Edition: 7
Author: Ron Larson, Robert P. Hostetler
ISBN: 9780618643448

Since 94 problems in chapter 7.1: Linear and Nonlinear Systems of Equations have been answered, more than 30279 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 7.1: Linear and Nonlinear Systems of Equations includes 94 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Precalculus was written by and is associated to the ISBN: 9780618643448.

Key Calculus Terms and definitions covered in this textbook
  • Absolute value of a vector

    See Magnitude of a vector.

  • Annual percentage rate (APR)

    The annual interest rate

  • Arrow

    The notation PQ denoting the directed line segment with initial point P and terminal point Q.

  • 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

  • Distance (in Cartesian space)

    The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

  • Expanded form

    The right side of u(v + w) = uv + uw.

  • Identity matrix

    A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

  • Inferential statistics

    Using the science of statistics to make inferences about the parameters in a population from a sample.

  • Inverse tangent function

    The function y = tan-1 x

  • Logarithmic function with base b

    The inverse of the exponential function y = bx, denoted by y = logb x

  • Magnitude of an arrow

    The magnitude of PQ is the distance between P and Q

  • Multiplicative inverse of a matrix

    See Inverse of a matrix

  • Opens upward or downward

    A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

  • Product of matrices A and B

    The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

  • Pythagorean identities

    sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

  • Reflection across the y-axis

    x, y and (-x,y) are reflections of each other across the y-axis.

  • Solve by elimination or substitution

    Methods for solving systems of linear equations.

  • Stemplot (or stem-and-leaf plot)

    An arrangement of a numerical data set into a specific tabular format.

  • Vertical asymptote

    The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.

  • Yscl

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

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