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# Solutions for Chapter 14-3: ELLIPSES ## Full solutions for Functions Modeling Change: A Preparation for Calculus | 4th Edition

ISBN: 9780470484753 Solutions for Chapter 14-3: ELLIPSES

Solutions for Chapter 14-3
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##### ISBN: 9780470484753

Chapter 14-3: ELLIPSES includes 23 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. Since 23 problems in chapter 14-3: ELLIPSES have been answered, more than 19703 students have viewed full step-by-step solutions from this chapter. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753.

Key Calculus Terms and definitions covered in this textbook
• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Combination

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

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Convenience sample

A sample that sacrifices randomness for convenience

• Convergence of a series

A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

• Direct variation

See Power function.

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Inverse cosecant function

The function y = csc-1 x

• Inverse function

The inverse relation of a one-to-one function.

• Modulus

See Absolute value of a complex number.

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• Term of a polynomial (function)

An expression of the form anxn in a polynomial (function).

• Time plot

A line graph in which time is measured on the horizontal axis.

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• yz-plane

The points (0, y, z) in Cartesian space.

• Zoom out

A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).

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