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# Solutions for Chapter 5.4: THE DEFINITION OF AREA AS A LIMIT; SIGMA NOTATION ## Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691 Solutions for Chapter 5.4: THE DEFINITION OF AREA AS A LIMIT; SIGMA NOTATION

Solutions for Chapter 5.4
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##### ISBN: 9780470647691

Since 70 problems in chapter 5.4: THE DEFINITION OF AREA AS A LIMIT; SIGMA NOTATION have been answered, more than 39965 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. Chapter 5.4: THE DEFINITION OF AREA AS A LIMIT; SIGMA NOTATION includes 70 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Ambiguous case

The case in which two sides and a nonincluded angle can determine two different triangles

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Control

The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

• Discriminant

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

• Distributive property

a(b + c) = ab + ac and related properties

• Equilibrium point

A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

• Gaussian curve

See Normal curve.

• Horizontal line

y = b.

• Intermediate Value Theorem

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

• Linear system

A system of linear equations

• Logarithmic re-expression of data

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

• Monomial function

A polynomial with exactly one term.

• Multiplicative inverse of a matrix

See Inverse of a matrix

• 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)

• Remainder theorem

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

• Response variable

A variable that is affected by an explanatory variable.

• Rigid transformation

A transformation that leaves the basic shape of a graph unchanged.

• Secant line of ƒ

A line joining two points of the graph of ƒ.

• Slope

Ratio change in y/change in x

• Sum of an infinite series

See Convergence of a series

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