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Solutions for Chapter 1.4: Exponential Functions

Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 1.4: Exponential Functions

Solutions for Chapter 1.4
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

Since 38 problems in chapter 1.4: Exponential Functions have been answered, more than 96515 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 1.4: Exponential Functions includes 38 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Boundary

    The set of points on the “edge” of a region

  • Difference of functions

    (ƒ - g)(x) = ƒ(x) - g(x)

  • Direction angle of a vector

    The angle that the vector makes with the positive x-axis

  • Discriminant

    For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

  • Frequency table (in statistics)

    A table showing frequencies.

  • Geometric series

    A series whose terms form a geometric sequence.

  • Horizontal Line Test

    A test for determining whether the inverse of a relation is a function.

  • Identity matrix

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

  • Linear inequality in x

    An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

  • Linear regression line

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

  • Midpoint (in a coordinate plane)

    For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

  • Negative angle

    Angle generated by clockwise rotation.

  • nth root of a complex number z

    A complex number v such that vn = z

  • Order of an m x n matrix

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

  • Parabola

    The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

  • Partial fraction decomposition

    See Partial fractions.

  • Shrink of factor c

    A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

  • Sum of a finite arithmetic series

    Sn = na a1 + a2 2 b = n 2 32a1 + 1n - 12d4,

  • Summation notation

    The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

  • System

    A set of equations or inequalities.