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# Solutions for Chapter 9.3: The Integral Test and p-Series ## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770 Solutions for Chapter 9.3: The Integral Test and p-Series

Solutions for Chapter 9.3
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##### ISBN: 9781285774770

Chapter 9.3: The Integral Test and p-Series includes 82 full step-by-step solutions. Since 82 problems in chapter 9.3: The Integral Test and p-Series have been answered, more than 185572 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Bounded above

A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Confounding variable

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

• Double-angle identity

An identity involving a trigonometric function of 2u

• Factor

In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

• Identity

An equation that is always true throughout its domain.

• Index of summation

See Summation notation.

• Initial side of an angle

See Angle.

• Magnitude of an arrow

The magnitude of PQ is the distance between P and Q

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• Period

See Periodic function.

• Present value of an annuity T

he net amount of your money put into an annuity.

• Principle of mathematical induction

A principle related to mathematical induction.

• Right-hand limit of ƒ at x a

The limit of ƒ as x approaches a from the right.

• RRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the right-hand end point of each subinterval.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Slope-intercept form (of a line)

y = mx + b

• Solve a system

To find all solutions of a system.

• Unit vector

Vector of length 1.

• Zero factorial

See n factorial.