Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 13, Problem 52SGR
To determine
To find:Sine equation to represent the vibration of the trampoline y as a function of time t .
Expert Solution & Answer
Answer to Problem 52SGR
y=5sin20πt
Explanation of Solution
Given information:
Amplitude of the function =a=5 feet
Frequency =10 hertz
Concept:
If equation in the form
y=asin(bx)
Then
Amplitude =a
Period =2π|b|
Given
Amplitude of the function =a=5 feet
Frequency =10 hertz
We know
Period is the reciprocal of Frequency
Therefore,
Period =110
Formula for period is
Period =2π|b|
Therefore,
⇒2π|b|=110⇒|b|=2π×10⇒|b|=20π⇒b=±20π
On substituting values in general equation
We get
y=asin(bx)⇒y=5sin(±20πt)⇒y=5sin20πt
Therefore,
Required sine equation is
y=5sin20πt
Chapter 13 Solutions
Algebra 2
Ch. 13.1 - Prob. 1CYPCh. 13.1 - Prob. 2CYPCh. 13.1 - Prob. 3ACYPCh. 13.1 - Prob. 3BCYPCh. 13.1 - Prob. 4CYPCh. 13.1 - Prob. 5ACYPCh. 13.1 - Prob. 5BCYPCh. 13.1 - Prob. 6ACYPCh. 13.1 - Prob. 6BCYPCh. 13.1 - Prob. 1CYU
Ch. 13.1 - Prob. 2CYUCh. 13.1 - Prob. 3CYUCh. 13.1 - Prob. 4CYUCh. 13.1 - Prob. 5CYUCh. 13.1 - Prob. 6CYUCh. 13.1 - Prob. 7CYUCh. 13.1 - Prob. 8CYUCh. 13.1 - Prob. 9CYUCh. 13.1 - Prob. 10CYUCh. 13.1 - Prob. 11CYUCh. 13.1 - Prob. 12CYUCh. 13.1 - Prob. 13PPSCh. 13.1 - Prob. 14PPSCh. 13.1 - Prob. 15PPSCh. 13.1 - Prob. 16PPSCh. 13.1 - Prob. 17PPSCh. 13.1 - Prob. 18PPSCh. 13.1 - Prob. 19PPSCh. 13.1 - Prob. 20PPSCh. 13.1 - Prob. 21PPSCh. 13.1 - Prob. 22PPSCh. 13.1 - Prob. 23PPSCh. 13.1 - Prob. 24PPSCh. 13.1 - Prob. 25PPSCh. 13.1 - Prob. 26PPSCh. 13.1 - Prob. 27PPSCh. 13.1 - Prob. 28PPSCh. 13.1 - Prob. 29PPSCh. 13.1 - Prob. 30PPSCh. 13.1 - Prob. 31PPSCh. 13.1 - Prob. 32PPSCh. 13.1 - Prob. 33PPSCh. 13.1 - Prob. 34PPSCh. 13.1 - Prob. 35PPSCh. 13.1 - Prob. 36PPSCh. 13.1 - Prob. 37PPSCh. 13.1 - Prob. 38PPSCh. 13.1 - Prob. 39PPSCh. 13.1 - Prob. 40PPSCh. 13.1 - Prob. 41PPSCh. 13.1 - Prob. 42PPSCh. 13.1 - Prob. 43PPSCh. 13.1 - Prob. 44PPSCh. 13.1 - Prob. 45PPSCh. 13.1 - Prob. 46PPSCh. 13.1 - Prob. 47PPSCh. 13.1 - 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Prob. 75STPCh. 13.3 - Prob. 76SCh. 13.3 - Prob. 77SCh. 13.3 - Prob. 78SCh. 13.4 - Prob. 1CYPCh. 13.4 - Prob. 2CYPCh. 13.4 - Prob. 3ACYPCh. 13.4 - Prob. 3BCYPCh. 13.4 - Prob. 3CCYPCh. 13.4 - Prob. 4CYPCh. 13.4 - Prob. 1CYUCh. 13.4 - Prob. 2CYUCh. 13.4 - Prob. 3CYUCh. 13.4 - Prob. 4CYUCh. 13.4 - Prob. 5CYUCh. 13.4 - Prob. 6CYUCh. 13.4 - Prob. 7CYUCh. 13.4 - Prob. 8CYUCh. 13.4 - Prob. 9CYUCh. 13.4 - Prob. 10CYUCh. 13.4 - Prob. 11CYUCh. 13.4 - Prob. 12CYUCh. 13.4 - Prob. 13PPSCh. 13.4 - Prob. 14PPSCh. 13.4 - Prob. 15PPSCh. 13.4 - Prob. 16PPSCh. 13.4 - Prob. 17PPSCh. 13.4 - Prob. 18PPSCh. 13.4 - Prob. 19PPSCh. 13.4 - Prob. 20PPSCh. 13.4 - Prob. 21PPSCh. 13.4 - Prob. 22PPSCh. 13.4 - Prob. 23PPSCh. 13.4 - Prob. 24PPSCh. 13.4 - Prob. 25PPSCh. 13.4 - Prob. 26PPSCh. 13.4 - Prob. 27PPSCh. 13.4 - Prob. 28PPSCh. 13.4 - Prob. 29PPSCh. 13.4 - Prob. 30PPSCh. 13.4 - Prob. 31PPSCh. 13.4 - Prob. 32PPSCh. 13.4 - Prob. 33PPSCh. 13.4 - Prob. 34PPSCh. 13.4 - Prob. 35PPSCh. 13.4 - Prob. 36PPSCh. 13.4 - Prob. 37PPSCh. 13.4 - 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Prob. 5CYUCh. 13.9 - Prob. 6CYUCh. 13.9 - Prob. 7CYUCh. 13.9 - Prob. 8CYUCh. 13.9 - Prob. 9CYUCh. 13.9 - Prob. 10CYUCh. 13.9 - Prob. 11CYUCh. 13.9 - Prob. 12PPSCh. 13.9 - Prob. 13PPSCh. 13.9 - Prob. 14PPSCh. 13.9 - Prob. 15PPSCh. 13.9 - Prob. 16PPSCh. 13.9 - Prob. 17PPSCh. 13.9 - Prob. 18PPSCh. 13.9 - Prob. 19PPSCh. 13.9 - Prob. 20PPSCh. 13.9 - Prob. 21PPSCh. 13.9 - Prob. 22PPSCh. 13.9 - Prob. 23PPSCh. 13.9 - Prob. 24PPSCh. 13.9 - Prob. 25PPSCh. 13.9 - Prob. 26PPSCh. 13.9 - Prob. 27PPSCh. 13.9 - Prob. 28PPSCh. 13.9 - Prob. 29PPSCh. 13.9 - Prob. 30PPSCh. 13.9 - Prob. 31PPSCh. 13.9 - Prob. 32PPSCh. 13.9 - Prob. 33PPSCh. 13.9 - Prob. 34PPSCh. 13.9 - Prob. 35PPSCh. 13.9 - Prob. 36PPSCh. 13.9 - Prob. 37PPSCh. 13.9 - Prob. 38PPSCh. 13.9 - Prob. 39PPSCh. 13.9 - Prob. 40PPSCh. 13.9 - Prob. 41HPCh. 13.9 - Prob. 42HPCh. 13.9 - Prob. 43HPCh. 13.9 - Prob. 44HPCh. 13.9 - Prob. 45HPCh. 13.9 - Prob. 46HPCh. 13.9 - Prob. 47HPCh. 13.9 - Prob. 48HPCh. 13.9 - Prob. 49HPCh. 13.9 - Prob. 50HPCh. 13.9 - Prob. 51STPCh. 13.9 - Prob. 52STPCh. 13.9 - Prob. 53STPCh. 13.9 - Prob. 54STPCh. 13.9 - Prob. 55STPCh. 13.9 - Prob. 56STPCh. 13.9 - Prob. 57SCh. 13.9 - Prob. 58SCh. 13.9 - Prob. 59SCh. 13.9 - Prob. 60SCh. 13 - Prob. 1QCCh. 13 - Prob. 2QCCh. 13 - Prob. 3QCCh. 13 - Prob. 4QCCh. 13 - Prob. 5QCCh. 13 - Prob. 6QCCh. 13 - Prob. 7QCCh. 13 - Prob. 8QCCh. 13 - Prob. 1MCQCh. 13 - Prob. 2MCQCh. 13 - Prob. 3MCQCh. 13 - Prob. 4MCQCh. 13 - Prob. 5MCQCh. 13 - Prob. 6MCQCh. 13 - Prob. 7MCQCh. 13 - Prob. 8MCQCh. 13 - Prob. 9MCQCh. 13 - Prob. 10MCQCh. 13 - Prob. 11MCQCh. 13 - Prob. 12MCQCh. 13 - Prob. 13MCQCh. 13 - Prob. 14MCQCh. 13 - Prob. 15MCQCh. 13 - Prob. 16MCQCh. 13 - Prob. 17MCQCh. 13 - Prob. 18MCQCh. 13 - Prob. 19MCQCh. 13 - Prob. 20MCQCh. 13 - Prob. 21MCQCh. 13 - Prob. 1SGRCh. 13 - Prob. 2SGRCh. 13 - Prob. 3SGRCh. 13 - Prob. 4SGRCh. 13 - Prob. 5SGRCh. 13 - Prob. 6SGRCh. 13 - Prob. 7SGRCh. 13 - Prob. 8SGRCh. 13 - Prob. 9SGRCh. 13 - Prob. 10SGRCh. 13 - Prob. 11SGRCh. 13 - Prob. 12SGRCh. 13 - Prob. 13SGRCh. 13 - Prob. 14SGRCh. 13 - Prob. 15SGRCh. 13 - Prob. 16SGRCh. 13 - Prob. 17SGRCh. 13 - Prob. 18SGRCh. 13 - Prob. 19SGRCh. 13 - Prob. 20SGRCh. 13 - Prob. 21SGRCh. 13 - Prob. 22SGRCh. 13 - Prob. 23SGRCh. 13 - Prob. 24SGRCh. 13 - Prob. 25SGRCh. 13 - Prob. 26SGRCh. 13 - Prob. 27SGRCh. 13 - Prob. 28SGRCh. 13 - Prob. 29SGRCh. 13 - Prob. 30SGRCh. 13 - Prob. 31SGRCh. 13 - Prob. 32SGRCh. 13 - Prob. 33SGRCh. 13 - Prob. 34SGRCh. 13 - Prob. 35SGRCh. 13 - Prob. 36SGRCh. 13 - Prob. 37SGRCh. 13 - Prob. 38SGRCh. 13 - Prob. 39SGRCh. 13 - Prob. 40SGRCh. 13 - Prob. 41SGRCh. 13 - Prob. 42SGRCh. 13 - Prob. 43SGRCh. 13 - Prob. 44SGRCh. 13 - Prob. 45SGRCh. 13 - Prob. 46SGRCh. 13 - Prob. 47SGRCh. 13 - Prob. 48SGRCh. 13 - Prob. 49SGRCh. 13 - Prob. 50SGRCh. 13 - Prob. 51SGRCh. 13 - Prob. 52SGRCh. 13 - Prob. 53SGRCh. 13 - Prob. 54SGRCh. 13 - Prob. 55SGRCh. 13 - Prob. 56SGRCh. 13 - Prob. 57SGRCh. 13 - Prob. 58SGRCh. 13 - Prob. 59SGRCh. 13 - Prob. 60SGRCh. 13 - Prob. 61SGRCh. 13 - Prob. 62SGRCh. 13 - Prob. 63SGRCh. 13 - Prob. 64SGRCh. 13 - Prob. 65SGRCh. 13 - Prob. 66SGRCh. 13 - Prob. 67SGRCh. 13 - Prob. 68SGRCh. 13 - Prob. 69SGRCh. 13 - Prob. 70SGRCh. 13 - Prob. 71SGRCh. 13 - Prob. 1PTCh. 13 - Prob. 2PTCh. 13 - Prob. 3PTCh. 13 - Prob. 4PTCh. 13 - Prob. 5PTCh. 13 - Prob. 6PTCh. 13 - Prob. 7PTCh. 13 - Prob. 8PTCh. 13 - Prob. 9PTCh. 13 - Prob. 10PTCh. 13 - Prob. 11PTCh. 13 - Prob. 12PTCh. 13 - Prob. 13PTCh. 13 - Prob. 14PTCh. 13 - Prob. 15PTCh. 13 - Prob. 16PTCh. 13 - Prob. 17PTCh. 13 - Prob. 18PTCh. 13 - Prob. 19PTCh. 13 - Prob. 20PTCh. 13 - Prob. 21PTCh. 13 - Prob. 22PTCh. 13 - Prob. 23PTCh. 13 - Prob. 24PTCh. 13 - Prob. 25PTCh. 13 - Prob. 1ECh. 13 - Prob. 2ECh. 13 - Prob. 1STPCh. 13 - Prob. 2STPCh. 13 - Prob. 3STPCh. 13 - Prob. 4STPCh. 13 - Prob. 5STPCh. 13 - Prob. 6STPCh. 13 - Prob. 7STPCh. 13 - Prob. 8STPCh. 13 - Prob. 9STPCh. 13 - Prob. 10STPCh. 13 - Prob. 11STPCh. 13 - Prob. 12STPCh. 13 - Prob. 13STPCh. 13 - Prob. 14STPCh. 13 - Prob. 15STPCh. 13 - Prob. 16STPCh. 13 - Prob. 17STP
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