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Solutions for Chapter 4-8: Graphs and Derivatives of Implicit Relations Full solutions for Calculus: Concepts and Applications | 2nd Edition

ISBN: 9781559536547 Solutions for Chapter 4-8: Graphs and Derivatives of Implicit Relations

Solutions for Chapter 4-8
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ISBN: 9781559536547

Since 38 problems in chapter 4-8: Graphs and Derivatives of Implicit Relations have been answered, more than 7846 students have viewed full step-by-step solutions from this chapter. Calculus: Concepts and Applications was written by Patricia and is associated to the ISBN: 9781559536547. Chapter 4-8: Graphs and Derivatives of Implicit Relations includes 38 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: Calculus: Concepts and Applications, edition: 2.

Key Calculus Terms and definitions covered in this textbook
• Argument of a complex number

The argument of a + bi is the direction angle of the vector {a,b}.

• Center

The central point in a circle, ellipse, hyperbola, or sphere

• Complements or complementary angles

Two angles of positive measure whose sum is 90°

• Compounded annually

See Compounded k times per year.

• DMS measure

The measure of an angle in degrees, minutes, and seconds

• Equivalent equations (inequalities)

Equations (inequalities) that have the same solutions.

• Expanded form

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

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• Irreducible quadratic over the reals

A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• One-to-one function

A function in which each element of the range corresponds to exactly one element in the domain

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Relevant domain

The portion of the domain applicable to the situation being modeled.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Right angle

A 90° angle.

• Slant line

A line that is neither horizontal nor vertical

• Symmetric property of equality

If a = b, then b = a

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