 6.1: (a) Draw two typical curves and , where for . Show how to approxima...
 6.2: Suppose that Sue runs faster than Kathy throughout a 1500 meter ra...
 6.3: (a) Suppose is a solid with known crosssectional areas. Explain ho...
 6.4: (a) What is the volume of a cylindrical shell? (b) Explain how to u...
 6.5: Suppose that you push a book across a 6meterlong table by exertin...
 6.6: (a) What is the average value of a function on an interval ? (b) Wh...
 6.7: Find the volume of the solid obtained by rotating the region bounde...
 6.8: Find the volume of the solid obtained by rotating the region bounde...
 6.9: Find the volume of the solid obtained by rotating the region bounde...
 6.10: Find the volume of the solid obtained by rotating the region bounde...
 6.11: Find the volume of the solid obtained by rotating the region bounde...
 6.12: Set up, but do not evaluate, an integral for the volume of the soli...
 6.13: Set up, but do not evaluate, an integral for the volume of the soli...
 6.14: Set up, but do not evaluate, an integral for the volume of the soli...
 6.15: Find the volumes of the solids obtained by rotating the region boun...
 6.16: Let be the region in the first quadrant bounded by the curves and ....
 6.17: Let be the region bounded by the curves , and . Use the Midpoint Ru...
 6.18: Let be the region bounded by the curves and . Estimate the followin...
 6.19: Each integral represents the volume of a solid. Describe the solid.
 6.20: Each integral represents the volume of a solid. Describe the solid.
 6.21: Each integral represents the volume of a solid. Describe the solid.
 6.22: Each integral represents the volume of a solid. Describe the solid.
 6.23: The base of a solid is a circular disk with radius 3. Find the volu...
 6.24: The base of a solid is the region bounded by the parabolas and . Fi...
 6.25: The height of a monument is 20 m. A horizontal crosssection at a d...
 6.26: (a) The base of a solid is a square with vertices located at , and ...
 6.27: A force of 30 N is required to maintain a spring stretched from its...
 6.28: A 1600lb elevator is suspended by a 200ft cable that weighs 10 lb...
 6.29: A tank full of water has the shape of a paraboloid of revolution as...
 6.30: Find the average value of the function on the interval .
 6.31: If is a continuous function, what is the limit as of the average va...
 6.32: Let be the region bounded by , , and , where . Let be the region bo...
Solutions for Chapter 6: Applications of Integration
Full solutions for Calculus,  5th Edition
ISBN: 9780534393397
Solutions for Chapter 6: Applications of Integration
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 32 problems in chapter 6: Applications of Integration have been answered, more than 43754 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Chapter 6: Applications of Integration includes 32 full stepbystep solutions. Calculus, was written by and is associated to the ISBN: 9780534393397.

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

Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n  r2!

De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

Double inequality
A statement that describes a bounded interval, such as 3 ? x < 5

Doubleangle identity
An identity involving a trigonometric function of 2u

Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis

Nonsingular matrix
A square matrix with nonzero determinant

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

Pole
See Polar coordinate system.

Positive angle
Angle generated by a counterclockwise rotation.

Power regression
A procedure for fitting a curve y = a . x b to a set of data.

Quadrant
Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

Range (in statistics)
The difference between the greatest and least values in a data set.

Reciprocal of a real number
See Multiplicative inverse of a real number.

Scientific notation
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

Sinusoidal regression
A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

Transformation
A function that maps real numbers to real numbers.

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.

xcoordinate
The directed distance from the yaxis yzplane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

Yscl
The scale of the tick marks on the yaxis in a viewing window.