 7.4.1: Finding Distance Using Two Methods In Exercises 1 and 2, find the d...
 7.4.2: Finding Distance Using Two Methods In Exercises 1 and 2, find the d...
 7.4.3: Finding Arc Length In Exercises 316, find the arc length of the gra...
 7.4.4: Finding Arc Length In Exercises 316, find the arc length of the gra...
 7.4.5: Finding Arc Length In Exercises 316, find the arc length of the gra...
 7.4.6: Finding Arc Length In Exercises 316, find the arc length of the gra...
 7.4.7: Finding Arc Length In Exercises 316, find the arc length of the gra...
 7.4.8: Finding Arc Length In Exercises 316, find the arc length of the gra...
 7.4.9: Finding Arc Length In Exercises 316, find the arc length of the gra...
 7.4.10: Finding Arc Length In Exercises 316, find the arc length of the gra...
 7.4.11: Finding Arc Length In Exercises 316, find the arc length of the gra...
 7.4.12: Finding Arc Length In Exercises 316, find the arc length of the gra...
 7.4.13: Finding Arc Length In Exercises 316, find the arc length of the gra...
 7.4.14: Finding Arc Length In Exercises 316, find the arc length of the gra...
 7.4.15: Finding Arc Length In Exercises 316, find the arc length of the gra...
 7.4.16: Finding Arc Length In Exercises 316, find the arc length of the gra...
 7.4.17: Finding Arc Length In Exercises 1726, (a) sketch the graph of the f...
 7.4.18: Finding Arc Length In Exercises 1726, (a) sketch the graph of the f...
 7.4.19: Finding Arc Length In Exercises 1726, (a) sketch the graph of the f...
 7.4.20: Finding Arc Length In Exercises 1726, (a) sketch the graph of the f...
 7.4.21: Finding Arc Length In Exercises 1726, (a) sketch the graph of the f...
 7.4.22: Finding Arc Length In Exercises 1726, (a) sketch the graph of the f...
 7.4.23: Finding Arc Length In Exercises 1726, (a) sketch the graph of the f...
 7.4.24: Finding Arc Length In Exercises 1726, (a) sketch the graph of the f...
 7.4.25: Finding Arc Length In Exercises 1726, (a) sketch the graph of the f...
 7.4.26: Finding Arc Length In Exercises 1726, (a) sketch the graph of the f...
 7.4.27: Approximation In Exercises 27 and 28, determine which value best ap...
 7.4.28: Approximation In Exercises 27 and 28, determine which value best ap...
 7.4.29: Approximation In Exercises 29 and 30, approximate the arc length of...
 7.4.30: Approximation In Exercises 29 and 30, approximate the arc length of...
 7.4.31: Length of a Catenary Electrical wires suspended between two towers ...
 7.4.32: Roof Area A barn is 100 feet long and 40 feet wide (see figure). A ...
 7.4.33: Length of Gateway Arch The Gateway Arch in St. Louis, Missouri, is ...
 7.4.34: Astroid Find the total length of the graph of the astroid
 7.4.35: Arc Length of a Sector of a Circle Find the arc length from clockwi...
 7.4.36: Arc Length of a Sector of a Circle Find the arc length from clockwi...
 7.4.37: Finding the Area of a Surface of Revolution In Exercises 3742, set ...
 7.4.38: Finding the Area of a Surface of Revolution In Exercises 3742, set ...
 7.4.39: Finding the Area of a Surface of Revolution In Exercises 3742, set ...
 7.4.40: Finding the Area of a Surface of Revolution In Exercises 3742, set ...
 7.4.41: Finding the Area of a Surface of Revolution In Exercises 3742, set ...
 7.4.42: Finding the Area of a Surface of Revolution In Exercises 3742, set ...
 7.4.43: Finding the Area of a Surface of Revolution In Exercises 4346, set ...
 7.4.44: Finding the Area of a Surface of Revolution In Exercises 4346, set ...
 7.4.45: Finding the Area of a Surface of Revolution In Exercises 4346, set ...
 7.4.46: Finding the Area of a Surface of Revolution In Exercises 4346, set ...
 7.4.47: Finding the Area of a Surface of Revolution In Exercises 47 and 48,...
 7.4.48: Finding the Area of a Surface of Revolution In Exercises 47 and 48,...
 7.4.49: Rectifiable Curve Define a rectifiable curve.
 7.4.50: Precalculus and Calculus What precalculus formula and representativ...
 7.4.51: Precalculus and Calculus What precalculus formula and representativ...
 7.4.52: HOW DO YOU SEE IT? The graphs of the functions and on the interval ...
 7.4.53: Think About It The figure shows the graphs of the functions and on ...
 7.4.54: Verifying a Formula (a) Given a circular sector with radius and cen...
 7.4.55: Lateral Surface Area of a Cone A right circular cone is generated b...
 7.4.56: Lateral Surface Area of a Cone A right circular cone is generated b...
 7.4.57: Using a Sphere Find the area of the zone of a sphere formed by revo...
 7.4.58: Using a Sphere Find the area of the zone of a sphere formed by revo...
 7.4.59: Modeling Data The circumference (in inches) of a vase is measured a...
 7.4.60: Modeling Data Property bounded by two perpendicular roads and a str...
 7.4.61: Volume and Surface Area Let be the region bounded by the axis, and ...
 7.4.62: Think About It Consider the equation (a) Use a graphing utility to ...
 7.4.63: Length of Pursuit A fleeing object leaves the origin and moves up t...
 7.4.64: Bulb Design An ornamental light bulb is designed by revolving the g...
 7.4.65: Astroid Find the area of the surface formed by revolving the portio...
 7.4.66: Using a Loop Consider the graph of shown in the figure. Find the ar...
 7.4.67: Suspension Bridge A cable for a suspension bridge has the shape of ...
 7.4.68: Suspension Bridge The Humber Bridge, located in the United Kingdom ...
 7.4.69: Arc Length and Area Let be the curve given by for where Show that t...
 7.4.70: Find the length of the curve from the origin to the point where the...
Solutions for Chapter 7.4: Arc Length and Surfaces of Revolution
Full solutions for Calculus: Early Transcendental Functions  6th Edition
ISBN: 9781285774770
Solutions for Chapter 7.4: Arc Length and Surfaces of Revolution
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 70 problems in chapter 7.4: Arc Length and Surfaces of Revolution have been answered, more than 43642 students have viewed full stepbystep solutions from this chapter. Chapter 7.4: Arc Length and Surfaces of Revolution includes 70 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770.

Census
An observational study that gathers data from an entire population

Circular functions
Trigonometric functions when applied to real numbers are circular functions

Definite integral
The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Doubleangle identity
An identity involving a trigonometric function of 2u

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

Graph of an equation in x and y
The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

Imaginary part of a complex number
See Complex number.

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.

Leastsquares line
See Linear regression line.

Logarithmic function with base b
The inverse of the exponential function y = bx, denoted by y = logb x

Mean (of a set of data)
The sum of all the data divided by the total number of items

Midpoint (in a coordinate plane)
For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

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

Quantitative variable
A variable (in statistics) that takes on numerical values for a characteristic being measured.

Randomization
The principle of experimental design that makes it possible to use the laws of probability when making inferences.

Standard unit vectors
In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

Statute mile
5280 feet.

Sum identity
An identity involving a trigonometric function of u + v

Terminal point
See Arrow.