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# Solutions for Chapter 16.10: Summary

## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909

Solutions for Chapter 16.10: Summary

Solutions for Chapter 16.10
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##### ISBN: 9780538497909

Since 41 problems in chapter 16.10: Summary have been answered, more than 31228 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Chapter 16.10: Summary includes 41 full step-by-step solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Cosecant

The function y = csc x

• Fundamental

Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

• Horizontal asymptote

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

• Horizontal line

y = b.

• Index of summation

See Summation notation.

• Linear combination of vectors u and v

An expression au + bv , where a and b are real numbers

• Magnitude of an arrow

The magnitude of PQ is the distance between P and Q

• Measure of an angle

The number of degrees or radians in an angle

• 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

• Natural numbers

The numbers 1, 2, 3, . . . ,.

• One-to-one function

A function in which each element of the range corresponds to exactly one element in the domain

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Projectile motion

The movement of an object that is subject only to the force of gravity

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Secant line of ƒ

A line joining two points of the graph of ƒ.

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

• Translation

See Horizontal translation, Vertical translation.

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

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