Ratio and Root Tests
John E. Gilbert, Heather Van Ligten, and Benni Goetz
Properties of geometric series enable us to test whether other series converge or diverge - even if theyre not geometric series!
Root Test: an innite series
n
an
Converges Absolut
son (ts29986) Homework 06 yao (55735)
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001 10.0 points
The speed of a moving bullet can be determined by allowing
son (ts29986) Homework 04 yao (55735)
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001 10.0 points
A force F is exerted by a broom handle on the
head of the b
In this lecture youll learn
Chapter 13 Lecture
To describe the conditions
under which oscillatory motion
occurs
To describe oscillatory motion
quantitatively
q
y in terms of
frequency, period, and
amplitude
To explain simple harmonic
motion and why it
son (ts29986) Homework 09 yao (55735)
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before answering.
001 10.0 points
A 39.1 kg woman balances on one heel of a
pair of high-heel
son (ts29986) Homework 08 yao (55735)
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before answering.
001 10.0 points
When a particular wire is vibrating with a frequency of 2.5
In this lecture youll learn
Chapter 9 Lecture
How to find the center of mass of
a system of particles
The principle of conservation of
moment m and how
momentum,
ho it applies to
systems of particles
How to analyze
y collisions
Inelastic collisions
E
son (ts29986) Homework 05 yao (55735)
1
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before answering.
F2
001 10.0 points
Three 6 kg masses are located at points in the
xy plan
son (ts29986) Homework 02 yao (55735)
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before answering.
001 10.0 points
An escalator is 16.7 m long. If a person stands
on the esca
In this lecture youll learn
Chapter 14 Lecture
T
To explain
l i waves as ttraveling
li
disturbances that transport
energy but not matter
To describe waves
quantitatively in terms of
frequency period
frequency,
period,
wavelength, and amplitude
To descr
son (ts29986) Homework 03 yao (55735)
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before answering.
001 (part 1 of 2) 10.0 points
Consider the 618 N weight held by two cables
In this lecture youll learn
Chapter 11 Lecture
To treat angular quantities as
vectors
About
Ab
angular
l momentum, the
h
rotational analog of linear
momentum
To define the vector cross
product, and use it to describe
torq e and angular
torque
ang lar m
son (ts29986) Homework 11 yao (55735)
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before answering.
001 10.0 points
If the gas in a container absorbs 275 Joules of
heat, has 1
In this lecture youll learn
Chapter 12 Lecture
To describe the conditions
necessary for static
equilibrium
To calculate forces and
torques needed to ensure
that a system is in static
equilibrium
Static Equilibrium
To determine whether or not
an equilib
In this lecture youll learn
Chapter 15 Lecture
Quantities used in describing
fluid behavior, including
density
y and p
pressure
How pressure differences
give rise to forces that act on
fl id
fluids
The origin of the buoyancy
force and why some
objects
Version 140/ACADA QTest #3 Antoniewicz (57380) This print-out should have 2 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points A man can throw a ball a maximum horizontal distance
In this lecture youll learn
Chapter 19 Lecture
To explain the second law
of thermodynamics and the
li it ti
limitations
it puts
t on our
ability to extract useful work
from thermal energy
sources
To understand the
thermodynamics of heat
engines, refrige
In this lecture youll learn
Chapter 18 Lecture
Heat, Work, and the First
L
Law
off Th
Thermodynamics
d
i
Slide 18-1
The First Law of Thermodynamics
To explain the first law of
thermodynamics and how it
extends the principle of
conservation of energy to
t
In this lecture youll learn
Chapter 16 Lecture
Th
The meanings
i
off temperature
t
t
and heat, and the difference
between them
How temperature is measured
How to use heat capacity and
specific heat to determine the
equilibrium temperatures of
mixtures
In this lecture youll learn
Chapter 17 Lecture
The ideal-gas
ideal gas law
And the relationship between
macroscopic and
microscopic quantities
quantities,
especially temperature and
molecular energy
To describe the three principle
phases of matter
To
overman (ipo77) HW03 gentle (56180)
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001 10.0 points
Consider the following situations.
A) An object moves with un
overman (ipo77) HW01 gentle (56180)
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001 5.0 points
The modern standard of length is 1 m
and the speed of light is
overman (ipo77) HW02 gentle (56180)
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001 10.0 points
Two ants race across a table 52 cm long.
One travels at 5.2 c
son (ts29986) Homework 01 yao (55735)
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001 10.0 points
Convert the volume 9.28 in.3 to m3 , recalling
that 1 in. =
son (ts29986) Homework 07 yao (55735)
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001 10.0 points
The system of point masses shown in the
figure is rotating
son (ts29986) Homework 10 yao (55735)
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001 10.0 points
A constriction in a pipe reduces its diameter
from 7.8 cm t