×
×

# 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
4 5 0 310 Reviews
14
1
##### 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.

×