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Solutions for Chapter 7.4: Calculus: Early Transcendentals 1st Edition Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567 Solutions for Chapter 7.4

Solutions for Chapter 7.4
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ISBN: 9780321570567

Chapter 7.4 includes 84 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since 84 problems in chapter 7.4 have been answered, more than 342547 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Additive identity for the complex numbers

0 + 0i is the complex number zero

• Directed distance

See Polar coordinates.

• Equivalent systems of equations

Systems of equations that have the same solution.

• Expanded form of a series

A series written explicitly as a sum of terms (not in summation notation).

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Limit at infinity

limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

• Mode of a data set

The category or number that occurs most frequently in the set.

• Natural logarithmic function

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

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Position vector of the point (a, b)

The vector <a,b>.

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• Response variable

A variable that is affected by an explanatory variable.

• Solve algebraically

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

• Stretch of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.

• Terms of a sequence

The range elements of a sequence.

• Transformation

A function that maps real numbers to real numbers.

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

• yz-plane

The points (0, y, z) in Cartesian space.