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 m
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LINEAR AND ANGULAR SPEED
Section 4.1A
Precalculus PreAP/Dual, Revised 2016
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11/8/16 10:50:21 PM
4.1A: Arc Length and Linear and Angular Speed
1
ANGULAR SPEED
A. Angular Speed
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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 int
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 p
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 deter
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 eq
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 b
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 +
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 (