 6.6.1: Find the volumes of the solids in Exercises 116
 6.6.2: Find the volumes of the solids in Exercises 116
 6.6.3: Find the volumes of the solids in Exercises 116
 6.6.4: Find the volumes of the solids in Exercises 116
 6.6.5: Find the volumes of the solids in Exercises 116
 6.6.6: Find the volumes of the solids in Exercises 116
 6.6.7: Find the volumes of the solids in Exercises 116
 6.6.8: Find the volumes of the solids in Exercises 116
 6.6.9: Find the volumes of the solids in Exercises 116
 6.6.10: Find the volumes of the solids in Exercises 116
 6.6.11: Find the volumes of the solids in Exercises 116
 6.6.12: Find the volumes of the solids in Exercises 116
 6.6.13: Find the volumes of the solids in Exercises 116
 6.6.14: Find the volumes of the solids in Exercises 116
 6.6.15: Find the volumes of the solids in Exercises 116
 6.6.16: Find the volumes of the solids in Exercises 116
 6.6.17: Find the lengths of the curves in Exercises 1720. y = x '/2  (1/3...
 6.6.18: Find the lengths of the curves in Exercises 1720. x = y'f3, I '" y...
 6.6.19: Find the lengths of the curves in Exercises 1720. y = (5/12)x 6/' ...
 6.6.20: Find the lengths of the curves in Exercises 1720. = (y'/12) + (i/y...
 6.6.21: In Exercises 2124, fmd the areas of the surfaces generated by revo...
 6.6.22: In Exercises 2124, fmd the areas of the surfaces generated by revo...
 6.6.23: In Exercises 2124, fmd the areas of the surfaces generated by revo...
 6.6.24: In Exercises 2124, fmd the areas of the surfaces generated by revo...
 6.6.25: A rock climber is about to haul up 100 N (about 22.5 Ib) of equipme...
 6.6.26: You drove ao 800gal tank truck of water from the base of Mt. Washi...
 6.6.27: If a force of20 Ib is required to hold a spring I ft beyond its uns...
 6.6.28: A fore. of 200 N will stretch a garage door spring 0.8 m beyond its...
 6.6.29: A reservoir shaped like a rightcircular cone, point down, 20 ft ac...
 6.6.30: (Continuation of Exercise 29.) The reservoir is filled to a depth o...
 6.6.31: A rightcircular conical tank, point down, with top radius 5 ft aod...
 6.6.32: A storage tank is a rightcircular cylinder 20 ft long and 8 ft in ...
 6.6.33: Find the centroid of a thin, flat plate covering the region enclose...
 6.6.34: Find the centroid of a thin, flat plate covering the region enclose...
 6.6.35: Find the centroid of a thin, flat plate covering the "triangular" r...
 6.6.36: Find the centroid of a thin, flat plate covering the region enclose...
 6.6.37: Find the center of mass of a thin, flat plate covering the region e...
 6.6.38: a. Find the center of mass of a thin plate of constant density cove...
 6.6.39: The vertical triangular plate shown here is the end plate of a trou...
 6.6.40: The vertical trapezoidal plate shown here is the end plate of a tro...
 6.6.41: A flat vertical gate in the face of a dam is shaped like the parabo...
 6.6.42: You plan to store mercury (w = 849lb/fi3) in a vertical rectangular...
Solutions for Chapter 6: Applications of Definite Integrals
Full solutions for Thomas' Calculus  12th Edition
ISBN: 9780321587992
Solutions for Chapter 6: Applications of Definite Integrals
Get Full SolutionsThomas' Calculus was written by and is associated to the ISBN: 9780321587992. This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12. Since 42 problems in chapter 6: Applications of Definite Integrals have been answered, more than 11648 students have viewed full stepbystep solutions from this chapter. Chapter 6: Applications of Definite Integrals includes 42 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Acceleration due to gravity
g ? 32 ft/sec2 ? 9.8 m/sec

Common ratio
See Geometric sequence.

Complex plane
A coordinate plane used to represent the complex numbers. The xaxis of the complex plane is called the real axis and the yaxis is the imaginary axis

Constant of variation
See Power function.

Coterminal angles
Two angles having the same initial side and the same terminal side

Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.

Fibonacci sequence
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

First octant
The points (x, y, z) in space with x > 0 y > 0, and z > 0.

Firstdegree equation in x , y, and z
An equation that can be written in the form.

Identity
An equation that is always true throughout its domain.

Inverse reflection principle
If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

Line graph
A graph of data in which consecutive data points are connected by line segments

Linear factorization theorem
A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1  z1) 1x  i z 22 Á 1x  z n where the z1 are the zeros of ƒ

Lower bound of f
Any number b for which b < ƒ(x) for all x in the domain of ƒ

Positive angle
Angle generated by a counterclockwise rotation.

Richter scale
A logarithmic scale used in measuring the intensity of an earthquake.

Unit vector
Vector of length 1.

Vertex of a parabola
The point of intersection of a parabola and its line of symmetry.

Weighted mean
A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

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