Accelerated Math III - PowerPoint PPT Presentation

Loading...

PPT – Accelerated Math III PowerPoint presentation | free to download - id: 74d531-NDUwZ



Loading


The Adobe Flash plugin is needed to view this content

Get the plugin now

View by Category
About This Presentation
Title:

Accelerated Math III

Description:

Accelerated Math III Monday, November 1 Why do we graph trig functions? One Minute Question If And a is the amplitude of f(x) and p is the period of f(x) , Write the ... – PowerPoint PPT presentation

Number of Views:16
Avg rating:3.0/5.0
Slides: 16
Provided by: User3314
Learn more at: http://lhsblogs.typepad.com
Category:

less

Write a Comment
User Comments (0)
Transcript and Presenter's Notes

Title: Accelerated Math III


1
Accelerated Math III
  • Monday, November 1
  • Why do we graph trig functions?

2
(No Transcript)
3
One Minute Question
  • If
  • And a is the amplitude of f(x) and p is the
    period of f(x) ,
  • Write the ordered pair (a, p).

4
Homework?
  • Review from yesterday?
  • Questions?

5
2nd One-Minute Question
  • Write an equation of the sinusoidal curve on the
    screen.
  • (Note There are no degree symbols on the
    y-axis.)

6
So, When Do We See Sinusoidal Functions??
7
One example
  • A water wheel 14 feet in diameter is rotating
    counterclockwise. You start a stopwatch and
    observe a point P on the rim of the wheel. At t
    2 seconds, P is at its highest, 13 feet above
    the water. At t 7 seconds, P is at its maximum
    depth below the water.

8
What Do You Know???
What Would You Like To Know???
How Can We Find It???
9
One example
  • A water wheel 14 feet in diameter is rotating
    counterclockwise. You start a stopwatch and
    observe a point P on the rim of the wheel. At t
    2 seconds, P is at its highest, 13 feet above
    the water. At t 7 seconds, P is at its maximum
    depth below the water.

10
My Questions
  • . What is an equation of Ps motion?
  • 2. Where is P at time 6 seconds?
  • At what time does point
  • P first emerge from
  • the water?

11
Answers
  • . Y 7cos (p/5(x 2)) 6
  • 2 . At time 6 seconds, P is.3369 above
  • the water.
  • . The wheel first emerges
  • from the water at
  • t 7.861 seconds.

12
A Deer Problem
  • To avoid a hunter a deer runs in a sinusoidal
    path that crosses a stream. At time 2 sec.,
    the deer is 30 feet to the north of the stream
    and at time 20 sec., the deer is 10 feet to the
    south of the stream. If these are maximum
    distances from the stream that runs east-west,
    write an equation of the deers path.

13
Extensions
  • . Where is the deer at t 0 seconds?
  • . Where is the deer at t 13 seconds?
  • . When does the deer first cross the stream?

14
Answers
  • An equation is
  • y 20cos((p/18)(x 2)) 10
  • . At t 0 seconds, the deer is 28.79 north of
    the stream.
  • . At t 13 seconds, he is 3.16 north of the
    stream.

15
Answers
  • 3. Suggestions?

16
Homework
  • In the new Foerster Book, read page 319 321 and
    work problems 1 13 starting on page 321.

17
Answers
  • To find where he crosses the stream
    algebraically, let
  • 20cos((p/18)(x 2)) 10 0
  • So 20cos((p/18)(x 2)) -10
  • cos((p/18)(x 2)) -1/2
  • cos-1(cos((p/18)(x 2)) cos-1(-1/2)
  • (p/18)(x 2) 2p/3 2pk
  • x 2 12 36k Why is 36 right?
  • X 14 36k or x -10 36k so
  • X 14, 26, 50 so at t 14, t 26 and t 50,
    the deer crosses the stream.
About PowerShow.com