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# Solutions for Chapter 4.6: Graphing with Calculus and Calculators

## Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 4.6: Graphing with Calculus and Calculators

Solutions for Chapter 4.6
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##### ISBN: 9781305270336

Chapter 4.6: Graphing with Calculus and Calculators includes 40 full step-by-step solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Since 40 problems in chapter 4.6: Graphing with Calculus and Calculators have been answered, more than 42762 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Associative properties

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

• Basic logistic function

The function ƒ(x) = 1 / 1 + e-x

• Boundary

The set of points on the “edge” of a region

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Central angle

An angle whose vertex is the center of a circle

• Dihedral angle

An angle formed by two intersecting planes,

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Geometric series

A series whose terms form a geometric sequence.

• Inverse variation

See Power function.

• Line of symmetry

A line over which a graph is the mirror image of itself

• Linear programming problem

A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

• Nautical mile

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

• Partial fractions

The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

• Product of matrices A and B

The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

• Relevant domain

The portion of the domain applicable to the situation being modeled.

• Solve by substitution

Method for solving systems of linear equations.

• Stretch of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Vertical translation

A shift of a graph up or down.

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