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Solutions for Chapter 5.5: Thomas' Calculus: Early Transcendentals 13th Edition

Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077

Solutions for Chapter 5.5

Solutions for Chapter 5.5
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ISBN: 9780321884077

Since 80 problems in chapter 5.5 have been answered, more than 154189 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Chapter 5.5 includes 80 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13.

Key Calculus Terms and definitions covered in this textbook
• Annual percentage rate (APR)

The annual interest rate

• Cofunction identity

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

• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• Constraints

See Linear programming problem.

• Divergence

A sequence or series diverges if it does not converge

• Exponential form

An equation written with exponents instead of logarithms.

• 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>

• Limaçon

A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

• Logarithmic function with base b

The inverse of the exponential function y = bx, denoted by y = logb x

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• Parameter interval

See Parametric equations.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Positive angle

Angle generated by a counterclockwise rotation.

• Principal nth root

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

• Quantitative variable

A variable (in statistics) that takes on numerical values for a characteristic being measured.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Radian

The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

• Rational numbers

Numbers that can be written as a/b, where a and b are integers, and b ? 0.

• Real axis

See Complex plane.

• Venn diagram

A visualization of the relationships among events within a sample space.