 6.5.1E: Spring constant It took 1800 J of work to stretch a spring from its...
 6.5.2E: Stretching a spring A spring has a natural length of 10 in. An 800...
 6.5.3E: Stretching a rubber band A force of 2 N will stretch a rubber band ...
 6.5.4E: Stretching a spring If a force of 90 N stretches a spring 1 m beyon...
 6.5.5E: Subway car springs It takes a force of 21,714 lb to compress a coil...
 6.5.6E: Bathroom scale A bathroom scale is compressed 1/16 in. when a 150l...
 6.5.7E: Lifting a rope A mountain climber is about to haul up a 50m length...
 6.5.8E: Leaky sandbag A bag of sand originally weighing 144 lb was lifted a...
 6.5.9E: Lifting an elevator cable An electric elevator with a motor at the ...
 6.5.10E: Force of attraction When a particle of mass m is at (x, 0), it is a...
 6.5.11E: Leaky bucket Assume the bucket in Example 4 is leaking. It starts w...
 6.5.12E: (Continuation of Exercise 11.) The workers in Example 4 and Exercis...
 6.5.13E: Pumping water The rectangular tank shown here, with its top at grou...
 6.5.14E: Emptying a cistern The rectangular cistern (storage tank for rainwa...
 6.5.15E: Pumping oil How much work would it take to pump oil from the tank i...
 6.5.16E: Pumping a halffull tank Suppose that, instead of being full, the t...
 6.5.17E: Emptying a tank A vertical rightcircular cylindrical tank measures...
 6.5.18E: a. Pumping milk Suppose that the conical container in Example 5 con...
 6.5.19E: The graph of y=x2 on 0 ? x ? 2 is revolved about the yaxis to form...
 6.5.20E: A rightcircular cylindrical tank of height 10 ft and radius 5 ft i...
 6.5.21E: Emptying a water reservoir We model pumping from spherical containe...
 6.5.22E: You are in charge of the evacuation and repair of the storage tank ...
 6.5.23E: Kinetic energy If a variable force of magnitude F(x) moves a body o...
 6.5.24E: Tennis A 2oz tennis ball was served at 160 ft sec (about 109 mph)....
 6.5.25E: Baseball How many footpounds of work does it take to throw a baseb...
 6.5.26E: Golf A 1.6oz golf ball is driven off the tee at a speed of 280 ft/...
 6.5.27E: On June 11, 2004, in a tennis match between Andy Roddick and Parado...
 6.5.28E: Softball How much work has to be performed on a 6.5oz softball to ...
 6.5.29E: Drinking a milkshake The truncated conical container shown here is ...
 6.5.30E: Water tower Your town has decided to drill a well to increase its w...
 6.5.31E: Putting a satellite in orbit The strength of Earth’s gravitational ...
 6.5.32E: Forcing electrons together Two electrons r meters apart repel each ...
Solutions for Chapter 6.5: University Calculus: Early Transcendentals 2nd Edition
Full solutions for University Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321717399
Solutions for Chapter 6.5
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Chapter 6.5 includes 32 full stepbystep solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Since 32 problems in chapter 6.5 have been answered, more than 55096 students have viewed full stepbystep solutions from this chapter. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399.

Direction angle of a vector
The angle that the vector makes with the positive xaxis

Focus, foci
See Ellipse, Hyperbola, Parabola.

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.

Implicitly defined function
A function that is a subset of a relation defined by an equation in x and y.

Inverse sine function
The function y = sin1 x

Lefthand limit of f at x a
The limit of ƒ as x approaches a from the left.

Linear inequality in two variables x and y
An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

Modulus
See Absolute value of a complex number.

Negative association
A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

nth root
See Principal nth root

Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

Power rule of logarithms
logb Rc = c logb R, R 7 0.

Product of functions
(ƒg)(x) = ƒ(x)g(x)

Quadratic function
A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

Quartile
The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

Radian measure
The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

Root of an equation
A solution.

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

Triangular number
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

Vertical line test
A test for determining whether a graph is a function.