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# Solutions for Chapter 10.3: Parametric Equations and Calculus ## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981 Solutions for Chapter 10.3: Parametric Equations and Calculus

Solutions for Chapter 10.3
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##### ISBN: 9780618502981

This textbook survival guide was created for the textbook: Calculus, edition: 8. Calculus was written by and is associated to the ISBN: 9780618502981. This expansive textbook survival guide covers the following chapters and their solutions. Since 100 problems in chapter 10.3: Parametric Equations and Calculus have been answered, more than 79107 students have viewed full step-by-step solutions from this chapter. Chapter 10.3: Parametric Equations and Calculus includes 100 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• Equivalent arrows

Arrows that have the same magnitude and direction.

• Equivalent equations (inequalities)

Equations (inequalities) that have the same solutions.

• Exponent

See nth power of a.

• Graph of a function ƒ

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

• Half-life

The amount of time required for half of a radioactive substance to decay.

• Histogram

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

• Horizontal component

See Component form of a vector.

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Logarithmic function with base b

The inverse of the exponential function y = bx, denoted by y = logb x

• Logarithmic re-expression of data

Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

• Midpoint (in a coordinate plane)

For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

• Multiplicative inverse of a complex number

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

• Natural logarithm

A logarithm with base e.

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• Remainder theorem

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

• Secant

The function y = sec x.

• Statistic

A number that measures a quantitative variable for a sample from a population.

• Xmin

The x-value of the left side of the viewing window,.

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