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Solutions for Chapter 4: 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 4

Solutions for Chapter 4
4 5 0 377 Reviews
Textbook: Single Variable Calculus
Edition: 7
Author: James W Nilsson
ISBN: 9780538497831

Chapter 4 includes 54 full step-by-step solutions. Since 54 problems in chapter 4 have been answered, more than 6705 students have viewed full step-by-step solutions from this chapter. Single Variable Calculus was written by and is associated to the ISBN: 9780538497831. This textbook survival guide was created for the textbook: Single Variable Calculus, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
  • Cofunction identity

    An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

  • Complex plane

    A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

  • Constant of variation

    See Power function.

  • Direction vector for a line

    A vector in the direction of a line in three-dimensional space

  • 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

  • First octant

    The points (x, y, z) in space with x > 0 y > 0, and z > 0.

  • Fundamental

    Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

  • Head minus tail (HMT) rule

    An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

  • Imaginary part of a complex number

    See Complex number.

  • Inequality

    A statement that compares two quantities using an inequality symbol

  • Inverse function

    The inverse relation of a one-to-one function.

  • Line of symmetry

    A line over which a graph is the mirror image of itself

  • Linear system

    A system of linear equations

  • Modulus

    See Absolute value of a complex number.

  • Partial fractions

    The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

  • Real number line

    A horizontal line that represents the set of real numbers.

  • Solve algebraically

    Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

  • Solve by substitution

    Method for solving systems of linear equations.

  • Standard form: equation of a circle

    (x - h)2 + (y - k2) = r 2

  • Sum identity

    An identity involving a trigonometric function of u + v