Section 2.3: More About Limits
Recall the Unit Circle:
Equation:
What is ?
Consider this table of values:
Basic Trigonometric Limit:
Show
that
Recall:
Evaluate
Recall:
Evaluate
A Few Trigonometric Limit Laws:
Evaluate
the following:
1.
2.
Solving one
Section 2.2: Limits
Examine the
graph of
does not exist
Although is not
defined @ , for
values of close to ,
the functional values
are close to .
4
2
The limit of a function describes what happens
to the values of as getsclose to some number .
Notatio
10.6: Comparison Tests
Comparison Test: Suppose and are infinite series with
positive terms.
1. converges if converges and for all .
Smaller than convergent is convergent!
2.
diverges if diverges and for all .
Larger than divergent is divergent!
Note: Sma
How do you learn?
Science news of the day
Skills for your success
How do you learn?
Visual 40% population
Kinesthetic/tactile 30% population
Auditory 30% population
Your learning style will be a mix of the three, with one
predominant
www.roanesta
10.5: Integral Test
Let and
Note:
If converges, then
converges.
Note:
If diverges, then
diverges.
Integral
Test:
Suppose is continuous, positive, and decreasing on . If ,
then for all integers ,
and
either
both converge or both diverge.
Recall: converg
10.210.3 Infinite Series
Infinite sequence an unending ordered list of
numbers
Notation: or
Ex)
Ex)
Infinite series adding the terms in an infinite
sequence .
Notation:
Ex)
Ex)
Def:
Given an infinite series
, the sequence defined by
, ,.,
is the se
7.5: Partial Fractions
We
know how to solve
How about ?
We want to evaluate , where
and are polynomials.
is called a rational function.
This can be expressed as a sum of simpler fractions
called partial fractions.
Ex.)
Suppose
we know
Then
To find
Section 2.1: Tangent Lines
What is the average rate of change of over the
interval ?
A
secant line intersects a curve at two points
and it describes the average rate of change
between those two points.
The average rate of change over the interval is
th
Demonstrative adjectives and
pronouns
SPAN 1000
Profesora Gmez
Repaso de DOP
1) Gustavo y Hctor confirman las reservaciones.
2) Nosotros leemos los folletos (brochures).
3) Ana Mara estudia el mapa.
4) Esteben busca el pasaje (ticket).
5) Nosotros planeam
Humanities
Exam 1 Study Guide
1. What is the difference between the rivers in Mesopotamia and Egypt? Why was this
significant? the Tigris and Euphrates river floods often and irregularly, it reflects their
gods and chaos, the Nile river floods regularly e
Name: Regina Doi
Title: Scrap Al to Alum
Purpose: The purpose of this lab is to turn scrap aluminum to alum.
Procedure:
1.00g of scrap aluminum was dissolved in a 150mL beaker with 35mL of 1.5M KOH
The 150mL beaker was placed on a hot plate under a hood
Name: Regina Doi
Title: Copper to Copper
Purpose: The purpose of this lab is to observe the chemical changes of copper.
Procedure:
0.25g of copper was weighed, rolled into a ball, and put into a clean 250mL beaker
2.02.5mL of the concentrate HNO3 was put
Name: Regina Doi
Title: Properties of an Unknown Liquid
Purpose: In this lab, the identity of an unknown liquid was determined from a list of liquids by
using density, boiling point, and solubility.
Procedure:
A random test tube was chosen to experiment o
Name: Regina Doi
Title: Specific Heat of a Metal
Purpose: The purpose of this lab was to find the atomic mass of a given metal by finding the
specific heat of this metal.
Procedure:
The unknown metal was weighed
The metal was heated in a large test tube f
Biology II Final Review Exam 1
1) Which organ is incorrectly paired with its function?
large intestinebile production
2) As animals increase in size
its skeleton must be larger to support its mass
3) What is the 1st macromolecule that is chemically dige
Biology II Final Review Exam 2
1) Molluscs
have a muscular foot, visceral mass, and a mantle
2) A specialized feeding structure composed of tentacles?
lophophore
3) Eumetazoans
are animals with true tissues
4) Which of the following is not a characterist
Name: Regina Doi
Title: The Scientific Method
Question: Can vegetable shortening (VS) be used instead of animal fat to make soap?
Hypothesis: Vegetable shortening can be used as an effective base to make soap.
Emperical Testing: There were three simple te
Biology II Final Review Exam 3
1) Which of the following is not a characteristic of monocots?
taproot
2) What is the name of the vascular tissue that distributes sugars?
phloem
3) What is the life cycle in plants called?
alternation of generations
4) Wha
Name: Regina Doi
Title: Determination of Molar Mass by Vapor Density
Purpose: The purpose of this lab is to determine the molar mass using the density of vapor.
Procedure:
A dry 250mL flask was weighed with a piece of aluminum foil (with a tiny hole) and
Mariah Bergman
10/10/16 Period 6
1.
2.
3.
4.
5.
6.
7.
8.

Facial Skeleton
The facial skeleton consists of thirteen immovable bones and a movable lower jawbone.
Maxillary Bones
The maxillary bones are from the upper jaw; together they form the keystone of
Mariah Bergman
cfw_Page 197202
9/28/16 Period 6
Bone Development and Growth
A. Intramembranous Bones
Bones are formed from the replacement of existing connective tissues in
intramembranous bones or endochondral bones.
Intramembranous Bones are the flat
Mariah Bergman
10/4/16
Period 6
(Pages 204212)
Skeletal Organization
1. Number of Bones
Often 206 but is not for everyone because each person is different, bone
amount varies.
Flat bones of the skull usually grow together and tightly join along irregul
Mariah Bergman
10/18/16 Period 6
(Page 236242)
1. Lower Limb
Lower limbs include a femur, a tibia, a fibula, tarsals, metatarsals, and phalanges
Femur, which we know as thighbone, is the longest bone in the body and extends
from the hip to the knee.
A
Mariah Bergman
10/14/16 Period 6
(pages 225233)
1. Thoracic Cage
The thoracic cage includes the ribs, the thoracic vertebrae, the sternum, and the
costal cartilages that attach the ribs to the sternum.
Twentyfour is the typical number of ribs where on
Mariah Bergman
10/4/16
Period 6
(Page 202204)
Bone Function
1. Support, Protection, and Movement
If the ends of broken bone are close together, the healing is more rapid
than if they are far apart.
Bones of the skull protect the eyes, ears, and brain.