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Get Full Access to Calculus and Pre Calculus - Textbook Survival Guide
Get Full Access to Calculus and Pre Calculus - Textbook Survival Guide
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# Solutions for Chapter 1.4: Calculus: Early Transcendentals 2nd Edition ## Full solutions for Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321947345 Solutions for Chapter 1.4

Solutions for Chapter 1.4
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##### ISBN: 9780321947345

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. Chapter 1.4 includes 109 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 109 problems in chapter 1.4 have been answered, more than 56693 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2.

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

Trigonometric functions when applied to real numbers are circular functions

• Complex fraction

See Compound fraction.

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Compounded monthly

See Compounded k times per year.

• Differentiable at x = a

ƒ'(a) exists

• Divisor of a polynomial

See Division algorithm for polynomials.

• Inverse properties

a + 1-a2 = 0, a # 1a

• Multiplication principle of counting

A principle used to find the number of ways an event can occur.

• Multiplicative inverse of a complex number

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

• Nautical mile

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

• Piecewise-defined function

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

• Point-slope form (of a line)

y - y1 = m1x - x 12.

• Polynomial in x

An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

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

The graph in three dimensions of a seconddegree equation in three variables.

• Range (in statistics)

The difference between the greatest and least values in a data set.

• Re-expression of data

A transformation of a data set.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

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