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# Solutions for Chapter 5.1: University Calculus: Early Transcendentals 2nd Edition

## Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399

Solutions for Chapter 5.1

Solutions for Chapter 5.1
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##### ISBN: 9780321717399

Chapter 5.1 includes 26 full step-by-step solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. This expansive textbook survival guide covers the following chapters and their solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. Since 26 problems in chapter 5.1 have been answered, more than 57834 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Aphelion

The farthest point from the Sun in a planet’s orbit

• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Focal axis

The line through the focus and perpendicular to the directrix of a conic.

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Index of summation

See Summation notation.

• Inequality

A statement that compares two quantities using an inequality symbol

• Intercept

Point where a curve crosses the x-, y-, or z-axis in a graph.

• Natural numbers

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

• Nautical mile

Length of 1 minute of arc along the Earth’s equator.

• Probability function

A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

• Quantitative variable

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

• Rational zeros theorem

A procedure for finding the possible rational zeros of a polynomial.

• Secant line of ƒ

A line joining two points of the graph of ƒ.

• Sum of two vectors

<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

• Venn diagram

A visualization of the relationships among events within a sample space.

• Whole numbers

The numbers 0, 1, 2, 3, ... .

• Xmin

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

• yz-plane

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

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