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# Solutions for Chapter 7: Integraticm Techniques, L^Hopital's Rule, and Improper Integrals

## Full solutions for Calculus of A Single Variable | 7th Edition

ISBN: 9780618149162

Solutions for Chapter 7: Integraticm Techniques, L^Hopital's Rule, and Improper Integrals

Solutions for Chapter 7
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##### ISBN: 9780618149162

Since 86 problems in chapter 7: Integraticm Techniques, L^Hopital's Rule, and Improper Integrals have been answered, more than 23752 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. Chapter 7: Integraticm Techniques, L^Hopital's Rule, and Improper Integrals includes 86 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute maximum

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

• Acute triangle

A triangle in which all angles measure less than 90°

• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Cube root

nth root, where n = 3 (see Principal nth root),

• Demand curve

p = g(x), where x represents demand and p represents price

• Expanded form

The right side of u(v + w) = uv + uw.

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Inverse properties

a + 1-a2 = 0, a # 1a

• Linear regression

A procedure for finding the straight line that is the best fit for the data

• Parametrization

A set of parametric equations for a curve.

• 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.

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Reference triangle

For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

• Reflection across the x-axis

x, y and (x,-y) are reflections of each other across the x-axis.

• Root of an equation

A solution.

• Sum of functions

(ƒ + g)(x) = ƒ(x) + g(x)

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Variation

See Power function.

• Window dimensions

The restrictions on x and y that specify a viewing window. See Viewing window.

• x-intercept

A point that lies on both the graph and the x-axis,.

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