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# Solutions for Chapter C.2: The Cartesian Plane

## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter C.2: The Cartesian Plane

Solutions for Chapter C.2
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##### ISBN: 9781285774770

Since 62 problems in chapter C.2: The Cartesian Plane have been answered, more than 45697 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Chapter C.2: The Cartesian Plane includes 62 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook

P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

• Angle of depression

The acute angle formed by the line of sight (downward) and the horizontal

• Coefficient

The real number multiplied by the variable(s) in a polynomial term

• Complex number

An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

• Data

Facts collected for statistical purposes (singular form is datum)

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• nth root

See Principal nth root

• Parallel lines

Two lines that are both vertical or have equal slopes.

• Parametric curve

The graph of parametric equations.

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

• 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,

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Random behavior

Behavior that is determined only by the laws of probability.

• Second quartile

See Quartile.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• 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>

• Triangular form

A special form for a system of linear equations that facilitates finding the solution.

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

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