 3.3.1: A particle moves according to a law of motion , , where is measured...
 3.3.2: A particle moves according to a law of motion , , where is measured...
 3.3.3: A particle moves according to a law of motion , , where is measured...
 3.3.4: A particle moves according to a law of motion , , where is measured...
 3.3.5: A particle moves according to a law of motion , , where is measured...
 3.3.6: A particle moves according to a law of motion , , where is measured...
 3.3.7: The position function of a particle is given by When does the parti...
 3.3.8: If a ball is given a push so that it has an initial velocity of dow...
 3.3.9: If a stone is thrown vertically upward from the surface of the moon...
 3.3.10: If a ball is thrown vertically upward with a velocity of 80 fts, th...
 3.3.11: (a) A company makes computer chips from square wafers of silicon. I...
 3.3.12: (a) Sodium chlorate crystals are easy to grow in the shape of cubes...
 3.3.13: (a) Find the average rate of change of the area of a circle with re...
 3.3.14: A stone is dropped into a lake, creating a circular ripple that tra...
 3.3.15: A spherical balloon is being inflated. Find the rate of increase of...
 3.3.16: (a) The volume of a growing spherical cell is , where the radius is...
 3.3.17: The mass of the part of a metal rod that lies between its left end ...
 3.3.18: If a tank holds 5000 gallons of water, which drains from the bottom...
 3.3.19: The quantity of charge in coulombs (C) that has passed through a po...
 3.3.20: Newtons Law of Gravitation says that the magnitude of the force exe...
 3.3.21: Boyles Law states that when a sample of gas is compressed at a cons...
 3.3.22: The data in the table concern the lactonization of hydroxyvaleric a...
 3.3.23: The table gives the population of the world in the 20th century. (a...
 3.3.24: The table shows how the average age of first marriage of Japanese w...
 3.3.25: If, in Example 4, one molecule of the product C is formed from one ...
 3.3.26: Suppose that a bacteria population starts with 500 bacteria and tri...
 3.3.27: Refer to the law of laminar flow given in Example 7. Consider a blo...
 3.3.28: The frequency of vibrations of a vibrating violin string is given b...
 3.3.29: Suppose that the cost (in dollars) for a company to produce pairs o...
 3.3.30: The cost function for a certain commodity is (a) Find and interpret...
 3.3.31: If is the total value of the production when there are workers in a...
 3.3.32: If denotes the reaction of the body to some stimulus of strength , ...
 3.3.33: The gas law for an ideal gas at absolute temperature (in kelvins), ...
 3.3.34: In a fish farm, a population of fish is introduced into a pond and ...
 3.3.35: In the study of ecosystems, predatorprey models are often used to ...
Solutions for Chapter 3.3: 
Full solutions for Calculus,  5th Edition
ISBN: 9780534393397
Solutions for Chapter 3.3: 
Get Full SolutionsChapter 3.3:  includes 35 full stepbystep solutions. Since 35 problems in chapter 3.3:  have been answered, more than 43740 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Calculus, was written by and is associated to the ISBN: 9780534393397. This textbook survival guide was created for the textbook: Calculus,, edition: 5.

Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)

Cosine
The function y = cos x

Distance (on a number line)
The distance between real numbers a and b, or a  b

Equally likely outcomes
Outcomes of an experiment that have the same probability of occurring.

Expanded form of a series
A series written explicitly as a sum of terms (not in summation notation).

Infinite limit
A special case of a limit that does not exist.

Limit
limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

Linear system
A system of linear equations

Modified boxplot
A boxplot with the outliers removed.

Odd function
A function whose graph is symmetric about the origin (ƒ(x) = ƒ(x) for all x in the domain of f).

Permutation
An arrangement of elements of a set, in which order is important.

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

Reciprocal function
The function ƒ(x) = 1x

Residual
The difference y1  (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

Right angle
A 90° angle.

Standard deviation
A measure of how a data set is spread

Standard form of a complex number
a + bi, where a and b are real numbers

Triangular form
A special form for a system of linear equations that facilitates finding the solution.

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.

Vertical asymptote
The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a ƒ1x2 = q.