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# Solutions for Chapter 3: Calculus: Early Transcendentals 1st Edition

## Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567

Solutions for Chapter 3

Solutions for Chapter 3
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##### ISBN: 9780321570567

Chapter 3 includes 34 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since 34 problems in chapter 3 have been answered, more than 33954 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321570567. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Angle

Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• Conditional probability

The probability of an event A given that an event B has already occurred

• 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

• Index

• Integers

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

• Intermediate Value Theorem

If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

• Law of cosines

a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

• Length of a vector

See Magnitude of a vector.

• Logistic growth function

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

• Measure of center

A measure of the typical, middle, or average value for a data set

• Normal distribution

A distribution of data shaped like the normal curve.

• Perihelion

The closest point to the Sun in a planet’s orbit.

• Perpendicular lines

Two lines that are at right angles to each other

• 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)

• Pythagorean identities

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

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

• Unit vector in the direction of a vector

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

• Weights

See Weighted mean.

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