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# Solutions for Chapter 12.5: University Calculus: Early Transcendentals 2nd Edition

## Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399

Solutions for Chapter 12.5

Solutions for Chapter 12.5
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##### ISBN: 9780321717399

This expansive textbook survival guide covers the following chapters and their solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. Since 32 problems in chapter 12.5 have been answered, more than 54934 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Chapter 12.5 includes 32 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Branches

The two separate curves that make up a hyperbola

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Compound fraction

A fractional expression in which the numerator or denominator may contain fractions

• Constant

A letter or symbol that stands for a specific number,

• equation of a parabola

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

• Imaginary part of a complex number

See Complex number.

• Interval notation

Notation used to specify intervals, pp. 4, 5.

• Inverse composition rule

The composition of a one-toone function with its inverse results in the identity function.

• Logarithmic function with base b

The inverse of the exponential function y = bx, denoted by y = logb x

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• Midpoint (in Cartesian space)

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

• Odd-even identity

For a basic trigonometric function f, an identity relating f(x) to f(-x).

• Open interval

An interval that does not include its endpoints.

• Partial sums

See Sequence of partial sums.

• Quotient identities

tan ?= sin ?cos ?and cot ?= cos ? sin ?

• Sample space

Set of all possible outcomes of an experiment.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Slope-intercept form (of a line)

y = mx + b

• Solve a triangle

To find one or more unknown sides or angles of a triangle

• Stem

The initial digit or digits of a number in a stemplot.

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