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Solutions for Chapter 1: Single Variable Calculus 7th Edition

Single Variable Calculus | 7th Edition | ISBN: 9780538497831 | Authors: James W Nilsson

Full solutions for Single Variable Calculus | 7th Edition

ISBN: 9780538497831

Single Variable Calculus | 7th Edition | ISBN: 9780538497831 | Authors: James W Nilsson

Solutions for Chapter 1

Solutions for Chapter 1
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Textbook: Single Variable Calculus
Edition: 7
Author: James W Nilsson
ISBN: 9780538497831

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Single Variable Calculus, edition: 7. Since 49 problems in chapter 1 have been answered, more than 4979 students have viewed full step-by-step solutions from this chapter. Single Variable Calculus was written by and is associated to the ISBN: 9780538497831. Chapter 1 includes 49 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Algebraic model

    An equation that relates variable quantities associated with phenomena being studied

  • Ambiguous case

    The case in which two sides and a nonincluded angle can determine two different triangles

  • Base

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

  • Cardioid

    A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

  • Characteristic polynomial of a square matrix A

    det(xIn - A), where A is an n x n matrix

  • Commutative properties

    a + b = b + a ab = ba

  • Elementary row operations

    The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

  • Fitting a line or curve to data

    Finding a line or curve that comes close to passing through all the points in a scatter plot.

  • Horizontal shrink or stretch

    See Shrink, stretch.

  • Identity function

    The function ƒ(x) = x.

  • Irrational zeros

    Zeros of a function that are irrational numbers.

  • Linear correlation

    A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

  • Local extremum

    A local maximum or a local minimum

  • Logistic regression

    A procedure for fitting a logistic curve to a set of data

  • Multiplicative inverse of a matrix

    See Inverse of a matrix

  • Reference triangle

    For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

  • Slope-intercept form (of a line)

    y = mx + b

  • Transpose of a matrix

    The matrix AT obtained by interchanging the rows and columns of A.

  • Vertical component

    See Component form of a vector.

  • Vertical line

    x = a.

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