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# Solutions for Chapter 13.7: TANGENT PLANES AND NORMAL VECTORS

## Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691

Solutions for Chapter 13.7: TANGENT PLANES AND NORMAL VECTORS

Solutions for Chapter 13.7
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##### ISBN: 9780470647691

Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. Chapter 13.7: TANGENT PLANES AND NORMAL VECTORS includes 41 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. This expansive textbook survival guide covers the following chapters and their solutions. Since 41 problems in chapter 13.7: TANGENT PLANES AND NORMAL VECTORS have been answered, more than 39927 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Cofunction identity

An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

• Convenience sample

A sample that sacrifices randomness for convenience

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Exponential function

A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• Grapher or graphing utility

Graphing calculator or a computer with graphing software.

• Histogram

A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

• Order of magnitude (of n)

log n.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Positive association

A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

• Power-reducing identity

A trigonometric identity that reduces the power to which the trigonometric functions are raised.

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

• Real number

Any number that can be written as a decimal.

• Reflexive property of equality

a = a

• Richter scale

A logarithmic scale used in measuring the intensity of an earthquake.

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Slant line

A line that is neither horizontal nor vertical

• Standard form of a polynomial function

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

• Vertical line

x = a.

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