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by: Elena Bassin

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# Periodic Functions 1.10 MATH127

Elena Bassin
UMass
GPA 3.2
Calculus for Life and Social Problems I

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What a periodic function is, the components of it, how to construct one from a graph, and how to construct one from a word problem
COURSE
Calculus for Life and Social Problems I
PROF.
TYPE
One Day of Notes
PAGES
4
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 4 page One Day of Notes was uploaded by Elena Bassin on Thursday January 29, 2015. The One Day of Notes belongs to MATH127 at University of Massachusetts taught by Adena Calden in Spring2015. Since its upload, it has received 90 views. For similar materials see Calculus for Life and Social Problems I in Mathematics (M) at University of Massachusetts.

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Date Created: 01/29/15
Periodic Functions r rg mnl KWquot r e A f Monday septelnoel 425PM Definition A periodic function is a function that repeats its values in regular intervals or periods The AmplitUde is half the difference between its maximum and minimum values Calculate it by maximum minimum 2 The PeriOd is the time for the function to execute one complete CVCIe39 In regards to x values Things that are periodic functions include the What does a periodic function look like Chapter 1 Page 1 we know what to do because it39s periodic b Lul H mi 113911quot Will in 139 u 3 p b They39re the easiest ones to work with because you have a function associated with it mathematically Chapter 1 Page 2 A1 P2I39I These are the only trig functions that will be used in this course General Form y Asin Bt C y Acos Bt C Amplitude A Period ZI39I VerticalShift C B By adding C it moves the graph up or down that many units and shift Find the amplitude and period for the function y 1 4sin6t1 A W P 2n6 n3 V up 1 2 5cos4nt A ISI 393 239439 12 V 0 3 6sin2nt 4 A 6 P 2n 2n 1 V down 4 4 7cost3 A 7 P 2 V UP 3 Chapter 1 Page 3 What was the original function A 7 function is cosine because it doesn39 start at 00 y 4cosr39tt 4 negativenumbers rotate a function around the Period axis Period W A person breathes in and out The volume of air in the lungs Find a formula using sinix to represent this A Maximum minimum2 B 3 V maximum minimum 2 A422 2n3 V422 A 1 V 3 lsin2n3t3 Chapter 1 Page 4

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