 4.5.1: Use the guidelines of this section to sketch the curve.
 4.5.2: Use the guidelines of this section to sketch the curve.
 4.5.3: Use the guidelines of this section to sketch the curve.
 4.5.4: Use the guidelines of this section to sketch the curve.
 4.5.5: Use the guidelines of this section to sketch the curve.
 4.5.6: Use the guidelines of this section to sketch the curve.
 4.5.7: Use the guidelines of this section to sketch the curve.
 4.5.8: Use the guidelines of this section to sketch the curve.
 4.5.9: Use the guidelines of this section to sketch the curve.
 4.5.10: Use the guidelines of this section to sketch the curve.
 4.5.11: Use the guidelines of this section to sketch the curve.
 4.5.12: Use the guidelines of this section to sketch the curve.
 4.5.13: Use the guidelines of this section to sketch the curve.
 4.5.14: Use the guidelines of this section to sketch the curve.
 4.5.15: Use the guidelines of this section to sketch the curve.
 4.5.16: Use the guidelines of this section to sketch the curve.
 4.5.17: Use the guidelines of this section to sketch the curve.
 4.5.18: Use the guidelines of this section to sketch the curve.
 4.5.19: Use the guidelines of this section to sketch the curve.
 4.5.20: Use the guidelines of this section to sketch the curve.
 4.5.21: Use the guidelines of this section to sketch the curve.
 4.5.22: Use the guidelines of this section to sketch the curve.
 4.5.23: Use the guidelines of this section to sketch the curve.
 4.5.24: Use the guidelines of this section to sketch the curve.
 4.5.25: Use the guidelines of this section to sketch the curve.
 4.5.26: Use the guidelines of this section to sketch the curve.
 4.5.27: Use the guidelines of this section to sketch the curve.
 4.5.28: Use the guidelines of this section to sketch the curve.
 4.5.29: Use the guidelines of this section to sketch the curve.
 4.5.30: Use the guidelines of this section to sketch the curve.
 4.5.31: Use the guidelines of this section to sketch the curve.
 4.5.32: Use the guidelines of this section to sketch the curve.
 4.5.33: Use the guidelines of this section to sketch the curve.
 4.5.34: Use the guidelines of this section to sketch the curve.
 4.5.35: Use the guidelines of this section to sketch the curve.
 4.5.36: Use the guidelines of this section to sketch the curve.
 4.5.37: Use the guidelines of this section to sketch the curve.
 4.5.38: Use the guidelines of this section to sketch the curve.
 4.5.39: Use the guidelines of this section to sketch the curve.
 4.5.40: Use the guidelines of this section to sketch the curve.
 4.5.41: Use the guidelines of this section to sketch the curve.
 4.5.42: Use the guidelines of this section to sketch the curve.
 4.5.43: Use the guidelines of this section to sketch the curve.
 4.5.44: Use the guidelines of this section to sketch the curve.
 4.5.45: Use the guidelines of this section to sketch the curve.
 4.5.46: Use the guidelines of this section to sketch the curve.
 4.5.47: Use the guidelines of this section to sketch the curve.
 4.5.48: Use the guidelines of this section to sketch the curve.
 4.5.49: Use the guidelines of this section to sketch the curve.
 4.5.50: Use the guidelines of this section to sketch the curve.
 4.5.51: Use the guidelines of this section to sketch the curve.
 4.5.52: Use the guidelines of this section to sketch the curve.
 4.5.53: The figure shows a beam of length embedded in concrete walls. If a ...
 4.5.54: Coulombs Law states that the force of attraction between two charge...
 4.5.55: Find an equation of the slant asymptote. Do not sketch the curve.
 4.5.56: Find an equation of the slant asymptote. Do not sketch the curve.
 4.5.57: Find an equation of the slant asymptote. Do not sketch the curve.
 4.5.58: Find an equation of the slant asymptote. Do not sketch the curve.
 4.5.59: Use the guidelines of this section to sketch the curve. In guidelin...
 4.5.60: Use the guidelines of this section to sketch the curve. In guidelin...
 4.5.61: Use the guidelines of this section to sketch the curve. In guidelin...
 4.5.62: Use the guidelines of this section to sketch the curve. In guidelin...
 4.5.63: Use the guidelines of this section to sketch the curve. In guidelin...
 4.5.64: Use the guidelines of this section to sketch the curve. In guidelin...
 4.5.65: Show that the curve has two slant asymptotes: and . Use this fact t...
 4.5.66: Show that the curve has two slant asymptotes: and . Use this fact t...
 4.5.67: Show that the lines and are slant asymptotes of the hyperbola .
 4.5.68: Let . Show that This shows that the graph of approaches the graph o...
 4.5.69: Discuss the asymptotic behavior of in the same manner as in Exercis...
 4.5.70: Use the asymptotic behavior of to sketch its graph without going th...
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
Get Full SolutionsCalculus, 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 stepbystep 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 stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

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 = an1 + 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 = an1.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 xvalue of the left side of the viewing window,.

yintercept
A point that lies on both the graph and the yaxis.