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# Solutions for Chapter 5.1: Antiderivatives and Indefinite Integration ## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770 Solutions for Chapter 5.1: Antiderivatives and Indefinite Integration

Solutions for Chapter 5.1
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##### ISBN: 9781285774770

This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. 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. Since 76 problems in chapter 5.1: Antiderivatives and Indefinite Integration have been answered, more than 45363 students have viewed full step-by-step solutions from this chapter. Chapter 5.1: Antiderivatives and Indefinite Integration includes 76 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Coordinate(s) of a point

The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Exponential function

A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• Independent events

Events A and B such that P(A and B) = P(A)P(B)

• Inequality symbol or

<,>,<,>.

• Infinite sequence

A function whose domain is the set of all natural numbers.

• 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

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Periodic function

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

• Real zeros

Zeros of a function that are real numbers.

• Sample standard deviation

The standard deviation computed using only a sample of the entire population.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Sum of a finite geometric series

Sn = a111 - r n 2 1 - r

• Transformation

A function that maps real numbers to real numbers.

• Xmin

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

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