VECTORS
Section 6.3
Precalculus PreAP/Dual, Revised 2015
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11/8/16 10:50:21 PM
6.3: Vectors in the Plane
1
DEFINITIONS
A. Vector is used to indicate a quantity that has both magnitude
(length/distance) and direction.
1. Magnitude
DID YOU
A. Subscribe to Remind? Text @kphspcbc to 81010
B. Bring the necessary supplies? If so, would you please leave it on the
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C. For today, pick up some notes in the back of the room
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LINEAR AND ANGULAR SPEED
Section 4.1A
Precalculus PreAP/Dual, Revised 2016
[email protected]
11/8/16 10:50:21 PM
4.1A: Arc Length and Linear and Angular Speed
1
ANGULAR SPEED
A. Angular Speed applies to any object or particle that turns; angle
th
Bianca Jacquet
3rd Period
Dear President Truman,
I oppose your idea of the Marshall Plan. It would be an unmitigated waste of
US funds to send $20,000,000,000 into Western Europe to retard the spread of
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Sarah Josepha Hale Speech: Toast
I have prepared a toast to someone very special. She is the creator of Mary Had a Little Lamb, the
godmother of Thanksgiving. She is Sarah Josepha Hale. Even though she only had the education her
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Analysis of Dorothea Langes Photographs
Bianca Jacquet, 3rd Period
Dorothea Langes photography was beyond her time. She completely and
wholly captured what life was truly like back in the 1930s Dust Bowl.
Droughts, tornados, dust storms, freezing winters
The National Organization of Women (NOW), is the largest organization of
feminist activists in the US. Their goal since its founding in 1966 has been to
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winning economic equalit
Description of Key Legislative Successes for the Womens
Movement AFTER WWII
These key Legislative/Supreme Court successes for the womens movement
catapulted the rights of women across America. The first being the Equal Pay
Act, passed in 1963, promising e
5 New Problems Women Face Today but Not 50 Years
Ago
1. The Media Body image has always been important regarding women,
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10 Biggest Firsts for Women During 1945-1995
1946 - Gerty Cori was the first American woman to win a Nobel Prize in Science (in this
time period earning a Nobel Prize in Science is relative to Carols career in engineering)
1953 - Oveta Culp Hobby becomes
Dear Carol,
The womens movement has been very successful
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have progressed from 1945 to now truly is
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different and have more independent attitudes and
mindsets. With
Anti-Womens Liberation Movement
The Womens Liberation Movement was criticized because it was perceived as
a movement that depicts that the role of women in the family, as a housewife,
was one of the causes of the oppression. Oppositions of the movement
po
5 Good Books I Recommend You Read
Burkett, Elinor. The Right Women: A Journey Through the Heart of Conservative
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Author Elinor Burkett presents a view favoring traditional roles for women without
31.7.13
Translate the DE into the auxiliary equation
Find the solutions for (m) by factoring
(3m-1)(m+3)=0
Finally, substitute the solutions into the proper formula
Week 1 Lab
Name_Shelley Adkins_
Part I - Directions: For the function we are going to estimate the area under the curve using the
trapezoidal rule where n = 5 by doing the following:
1. Divide the interval into 5 equal pieces. How long is each piece? This
Week 2 Lab
Name:_Shelley Adkins_
Part 1: Rules for integrating trigonometric functions
There are three rules governing how we deal with integrals of this form.
1. If the power of the sine is odd and positive, save one sine factor and
convert the remaining
Week 3 Lab
Name_Shelley Adkins_
Part 1: The Infinite Geometric Series
1. Given the following geometric series write out the first 5 partial sums. Explain how to do this.
=
=
=
=
Partial sums are determined by:
2. Do these partial sums appear to be approac
Week 1 Lab
Name_
Part I - Directions: For the function we are going to estimate the area under the curve using the
trapezoidal rule where n = 5 by doing the following:
1. Divide the interval into 5 equal pieces. How long is each piece? This will represent
Week 1 Section 25.4 Ex. 21
Length of a telephone cable between 2 poles 100ft apart
Note that the curve (the sag) is symmetrical from x=0 to 100 ft that is why we only integrate half way and multiply by 2
also the function
first we find h = (50-0)/10 =5
th
Exercises with Trigonometric Identities :
Recall the basic trigonometric identities:
Lets show that the length of the straight line l is
l1
a
l
l2
a
From the graph, l = l1 + l2
but
and
Then: l = l1 + l2 = where in the last step we divided both numerator a
Trigonometric Substitutions:
since 1- cosx = sinx note that we can use a similar identity to solve
this integral.
In our case: we have 121 x
then
let x = 11sin and then dx = 11cosd
Then 121 x = 121 ( 1- sin) = 121 cos
and
Then our integral becomes:
Now th