×
×

# Solutions for Chapter 12: University Calculus: Early Transcendentals 3rd Edition ## Full solutions for University Calculus: Early Transcendentals | 3rd Edition

ISBN: 9780321999580 Solutions for Chapter 12

Solutions for Chapter 12
4 5 0 426 Reviews
14
2
##### ISBN: 9780321999580

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals, edition: 3. Since 13 problems in chapter 12 have been answered, more than 6876 students have viewed full step-by-step solutions from this chapter. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321999580. Chapter 12 includes 13 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Closed interval

An interval that includes its endpoints

• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• Constraints

See Linear programming problem.

• Course

See Bearing.

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Graph of a polar equation

The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

• Identity matrix

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

• Infinite limit

A special case of a limit that does not exist.

• Irrational zeros

Zeros of a function that are irrational numbers.

• Linear inequality in x

An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Multiplication property of equality

If u = v and w = z, then uw = vz

• Natural logarithmic function

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

• NINT (ƒ(x), x, a, b)

A calculator approximation to ?ab ƒ(x)dx

• Order of an m x n matrix

The order of an m x n matrix is m x n.

• Reflection across the x-axis

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

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Vertical line

x = a.

×