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# Solutions for Chapter 4.5: Summary of Curve Sketching

## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397

Solutions for Chapter 4.5: Summary of Curve Sketching

Solutions for Chapter 4.5
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##### ISBN: 9780534393397

Calculus, was written by and is associated to the ISBN: 9780534393397. Since 70 problems in chapter 4.5: Summary of Curve Sketching have been answered, more than 47631 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Chapter 4.5: Summary of Curve Sketching includes 70 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Additive identity for the complex numbers

0 + 0i is the complex number zero

• Arccotangent function

See Inverse cotangent function.

• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• Bounded interval

An interval that has finite length (does not extend to ? or -?)

• Commutative properties

a + b = b + a ab = ba

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Increasing on an interval

A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

• Local extremum

A local maximum or a local minimum

• Paraboloid of revolution

A surface generated by rotating a parabola about its line of symmetry.

• Perihelion

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

• PH

The measure of acidity

• Present value of an annuity T

he net amount of your money put into an annuity.

• Principle of mathematical induction

A principle related to mathematical induction.

• Reflexive property of equality

a = a

• Symmetric difference quotient of ƒ at a

ƒ(x + h) - ƒ(x - h) 2h

• System

A set of equations or inequalities.

• Terminal point

See Arrow.

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

• Xmin

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

• y-intercept

A point that lies on both the graph and the y-axis.