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Solutions for Chapter 7.3: Trigonometric Substitution

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

ISBN: 9781305270336

Solutions for Chapter 7.3: Trigonometric Substitution

Solutions for Chapter 7.3
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

This expansive textbook survival guide covers the following chapters and their solutions. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Chapter 7.3: Trigonometric Substitution includes 44 full step-by-step solutions. Since 44 problems in chapter 7.3: Trigonometric Substitution have been answered, more than 39722 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Additive identity for the complex numbers

    0 + 0i is the complex number zero

  • Complex conjugates

    Complex numbers a + bi and a - bi

  • Conditional probability

    The probability of an event A given that an event B has already occurred

  • Confounding variable

    A third variable that affects either of two variables being studied, making inferences about causation unreliable

  • Convenience sample

    A sample that sacrifices randomness for convenience

  • De Moivre’s theorem

    (r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

  • Distributive property

    a(b + c) = ab + ac and related properties

  • Exponential form

    An equation written with exponents instead of logarithms.

  • Fibonacci sequence

    The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

  • Intercepted arc

    Arc of a circle between the initial side and terminal side of a central angle.

  • Inverse cosine function

    The function y = cos-1 x

  • Monomial function

    A polynomial with exactly one term.

  • Multiplicative inverse of a complex number

    The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

  • Piecewise-defined function

    A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

  • Positive association

    A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

  • Power function

    A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

  • Reflexive property of equality

    a = a

  • Resistant measure

    A statistical measure that does not change much in response to outliers.

  • 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.

  • Square matrix

    A matrix whose number of rows equals the number of columns.

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