×
×

# Solutions for Chapter 6.1: Areas between Curves ## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397 Solutions for Chapter 6.1: Areas between Curves

Solutions for Chapter 6.1
4 5 0 392 Reviews
30
1
##### ISBN: 9780534393397

This textbook survival guide was created for the textbook: Calculus,, edition: 5. Since 49 problems in chapter 6.1: Areas between Curves have been answered, more than 43242 students have viewed full step-by-step solutions from this chapter. Chapter 6.1: Areas between Curves includes 49 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus, was written by and is associated to the ISBN: 9780534393397.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• Divisor of a polynomial

See Division algorithm for polynomials.

• Eccentricity

A nonnegative number that specifies how off-center the focus of a conic is

• Exponential growth function

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

• Extracting square roots

A method for solving equations in the form x 2 = k.

• Fibonacci sequence

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

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Horizontal asymptote

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Inverse secant function

The function y = sec-1 x

• Leibniz notation

The notation dy/dx for the derivative of ƒ.

• Local extremum

A local maximum or a local minimum

• Magnitude of a real number

See Absolute value of a real number

• 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)

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

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

• Transverse axis

The line segment whose endpoints are the vertices of a hyperbola.

• z-axis

Usually the third dimension in Cartesian space.

×