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# Solutions for Chapter 12.5: Equations of Lines and Planes ## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909 Solutions for Chapter 12.5: Equations of Lines and Planes

Solutions for Chapter 12.5
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##### ISBN: 9780538497909

Since 82 problems in chapter 12.5: Equations of Lines and Planes have been answered, more than 29454 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 12.5: Equations of Lines and Planes includes 82 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Common ratio

See Geometric sequence.

• Derivative of ƒ

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

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• Exponent

See nth power of a.

• Implied domain

The domain of a function’s algebraic expression.

• Inferential statistics

Using the science of statistics to make inferences about the parameters in a population from a sample.

• Multiplication property of inequality

If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

• Ordered pair

A pair of real numbers (x, y), p. 12.

• Pole

See Polar coordinate system.

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

• Real axis

See Complex plane.

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• Sum of a finite arithmetic series

Sn = na a1 + a2 2 b = n 2 32a1 + 1n - 12d4,

• Union of two sets A and B

The set of all elements that belong to A or B or both.

• Vertices of a hyperbola

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

• x-intercept

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

• y-axis

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

• z-axis

Usually the third dimension in Cartesian space.

• Zero matrix

A matrix consisting entirely of zeros.

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