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# Solutions for Chapter 13.7: Tangent Planes and Normal Lines ## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981 Solutions for Chapter 13.7: Tangent Planes and Normal Lines

Solutions for Chapter 13.7
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##### ISBN: 9780618502981

This expansive textbook survival guide covers the following chapters and their solutions. Calculus was written by and is associated to the ISBN: 9780618502981. Since 64 problems in chapter 13.7: Tangent Planes and Normal Lines have been answered, more than 78319 students have viewed full step-by-step solutions from this chapter. Chapter 13.7: Tangent Planes and Normal Lines includes 64 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8.

Key Calculus Terms and definitions covered in this textbook
• Branches

The two separate curves that make up a hyperbola

• Combination

An arrangement of elements of a set, in which order is not important

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Event

A subset of a sample space.

• Identity function

The function ƒ(x) = x.

• Irrational zeros

Zeros of a function that are irrational numbers.

• Law of sines

sin A a = sin B b = sin C c

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Pythagorean

Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

• Quantitative variable

A variable (in statistics) that takes on numerical values for a characteristic being measured.

• Range of a function

The set of all output values corresponding to elements in the domain.

• Re-expression of data

A transformation of a data set.

• Remainder theorem

If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

• Rose curve

A graph of a polar equation or r = a cos nu.

• Simple harmonic motion

Motion described by d = a sin wt or d = a cos wt

• Slant asymptote

An end behavior asymptote that is a slant line

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

• Vertical component

See Component form of a vector.

• x-coordinate

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

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