ALGEBRA AND TRIGONOMETRY-WEBASSIGN
4th Edition
ISBN: 2818000007824
Author: Stewart
Publisher: CENGAGE L
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Chapter 13.CR, Problem 8E
To determine
The first seven terms of the sequence
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The Course Name Real Analysis please Solve questions by Real Analysis
part 3 of the question is:
A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes.
What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model.
Will the last passenger to board the ride need to wait in order to exit the ride? Explain.
Chapter 13 Solutions
ALGEBRA AND TRIGONOMETRY-WEBASSIGN
Ch. 13.1 - CONCEPTS A sequence is a function whose domain is...Ch. 13.1 - Prob. 2ECh. 13.1 - Prob. 3ECh. 13.1 - Prob. 4ECh. 13.1 - Prob. 5ECh. 13.1 - Prob. 6ECh. 13.1 - 3-14, Terms of a Sequence Find the first four...Ch. 13.1 - Prob. 8ECh. 13.1 - Prob. 9ECh. 13.1 - Prob. 10E
Ch. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.1 - 3-14 Terms of a Sequence Find the first four...Ch. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Prob. 16ECh. 13.1 - Prob. 17ECh. 13.1 - Prob. 18ECh. 13.1 - 15-20 Recursive Sequence A sequence is defined...Ch. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - SKILLS 21-26 Terms of a Sequence Use a graphing...Ch. 13.1 - Prob. 26ECh. 13.1 - 27-38 nth term of a Sequence Find the nth term of...Ch. 13.1 - Prob. 28ECh. 13.1 - Prob. 29ECh. 13.1 - Prob. 30ECh. 13.1 - SKILLS 27-38 nth term of a Sequence Find the nth...Ch. 13.1 - Prob. 32ECh. 13.1 - Prob. 33ECh. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - SKILLS 27-38 nth term of a Sequence Find the nth...Ch. 13.1 - SKILLS 27-38 nth term of a Sequence Find the nth...Ch. 13.1 - Prob. 38ECh. 13.1 - Prob. 39ECh. 13.1 - Prob. 40ECh. 13.1 - Prob. 41ECh. 13.1 - Prob. 42ECh. 13.1 - SKILLS 43-46 nth Partial Sums Find the first four...Ch. 13.1 - Prob. 44ECh. 13.1 - Prob. 45ECh. 13.1 - Prob. 46ECh. 13.1 - Prob. 47ECh. 13.1 - Prob. 48ECh. 13.1 - 47-54 Evaluating a sum Find the sum. k=131kCh. 13.1 - 47-54 Evaluating a sum Find the sum. j=1100(1)jCh. 13.1 - Prob. 51ECh. 13.1 - Prob. 52ECh. 13.1 - Prob. 53ECh. 13.1 - 47-54 Evaluating a sum Find the sum. i=13i2iCh. 13.1 - 55-60 Evaluating a SumUse a graphing calculator to...Ch. 13.1 - Prob. 56ECh. 13.1 - Prob. 57ECh. 13.1 - Prob. 58ECh. 13.1 - Prob. 59ECh. 13.1 - Prob. 60ECh. 13.1 - 61-66 Sigma Notation Write the sum without using...Ch. 13.1 - Prob. 62ECh. 13.1 - Prob. 63ECh. 13.1 - Prob. 64ECh. 13.1 - Prob. 65ECh. 13.1 - Prob. 66ECh. 13.1 - 67-74 Sigma Notation Write the sum using sigma...Ch. 13.1 - Prob. 68ECh. 13.1 - Prob. 69ECh. 13.1 - 67-74 Sigma Notation Write the sum using sigma...Ch. 13.1 - Prob. 71ECh. 13.1 - Prob. 72ECh. 13.1 - 67-74 Sigma Notation Write the sum using sigma...Ch. 13.1 - Prob. 74ECh. 13.1 - Prob. 75ECh. 13.1 - Prob. 76ECh. 13.1 - Prob. 77ECh. 13.1 - Prob. 78ECh. 13.1 - Prob. 79ECh. 13.1 - Prob. 80ECh. 13.1 - Prob. 81ECh. 13.1 - Prob. 82ECh. 13.1 - Prob. 83ECh. 13.1 - Prob. 84ECh. 13.1 - Fibonaccis RabbitsFibonacci posed the following...Ch. 13.1 - Prob. 86ECh. 13.1 - Prob. 87ECh. 13.1 - Prob. 88ECh. 13.2 - An arithmetic sequence is a sequence in which the...Ch. 13.2 - Prob. 2ECh. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - Prob. 5ECh. 13.2 - Prob. 6ECh. 13.2 - 5-10Terms of an Arithmetic SequenceThe nth term of...Ch. 13.2 - Prob. 8ECh. 13.2 - Prob. 9ECh. 13.2 - Prob. 10ECh. 13.2 - 11-16 nth term of an Arithmetic Sequence Find the...Ch. 13.2 - Prob. 12ECh. 13.2 - 11-16 nth term of an Arithmetic Sequence Find the...Ch. 13.2 - 11-16 nth term of an Arithmetic Sequence Find the...Ch. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - Prob. 18ECh. 13.2 - 17-26 Arithmetic Sequence? The first four terms...Ch. 13.2 - Prob. 20ECh. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - 17-26 Arithmetic Sequence? The first four terms...Ch. 13.2 - 17-26 Arithmetic Sequence? The first four terms...Ch. 13.2 - Prob. 26ECh. 13.2 - Prob. 27ECh. 13.2 - Prob. 28ECh. 13.2 - Prob. 29ECh. 13.2 - Prob. 30ECh. 13.2 - 27-32 Arithmetic Sequence? Find the first five...Ch. 13.2 - Prob. 32ECh. 13.2 - Prob. 33ECh. 13.2 - Prob. 34ECh. 13.2 - Prob. 35ECh. 13.2 - Prob. 36ECh. 13.2 - 33-44 Terms of an Arithmetic sequence Determine...Ch. 13.2 - Prob. 38ECh. 13.2 - Prob. 39ECh. 13.2 - Prob. 40ECh. 13.2 - Prob. 41ECh. 13.2 - Prob. 42ECh. 13.2 - 33-44 Terms of an Arithmetic sequence Determine...Ch. 13.2 - Prob. 44ECh. 13.2 - Prob. 45ECh. 13.2 - Prob. 46ECh. 13.2 - Prob. 47ECh. 13.2 - Prob. 48ECh. 13.2 - 45-50 Finding Terms of an Arithmetic sequence Find...Ch. 13.2 - Prob. 50ECh. 13.2 - Prob. 51ECh. 13.2 - Prob. 52ECh. 13.2 - Prob. 53ECh. 13.2 - 51-56 Partial Sum of an Arithmetic Sequence Find...Ch. 13.2 - 51-56 Partial Sum of an Arithmetic Sequence Find...Ch. 13.2 - Prob. 56ECh. 13.2 - Prob. 57ECh. 13.2 - Prob. 58ECh. 13.2 - Prob. 59ECh. 13.2 - 57-64 Partial Sums of an Arithmetic Sequence A...Ch. 13.2 - 57-64 Partial Sums of an Arithmetic Sequence A...Ch. 13.2 - Prob. 62ECh. 13.2 - Prob. 63ECh. 13.2 - Prob. 64ECh. 13.2 - Prob. 65ECh. 13.2 - Prob. 66ECh. 13.2 - Special Triangle Show that a right triangle whose...Ch. 13.2 - Prob. 68ECh. 13.2 - Prob. 69ECh. 13.2 - Harmonic Mean The harmonic mean of two numbers is...Ch. 13.2 - Prob. 71ECh. 13.2 - Poles in a Pile Telephone poles are being stored...Ch. 13.2 - Salary IncreasesA man gets a job with a salary of...Ch. 13.2 - Prob. 74ECh. 13.2 - Theater Seating An architect designs a theater...Ch. 13.2 - Prob. 76ECh. 13.2 - Prob. 77ECh. 13.2 - Prob. 78ECh. 13.3 - CONCEPTS A geometric sequence is a sequence in...Ch. 13.3 - Prob. 2ECh. 13.3 - Prob. 3ECh. 13.3 - Prob. 4ECh. 13.3 - SKILLS 58nthTerm of a Geometric Sequence The nth...Ch. 13.3 - Prob. 6ECh. 13.3 - SKILLS 58nthTerm of a Geometric Sequence The nth...Ch. 13.3 - Prob. 8ECh. 13.3 - Prob. 9ECh. 13.3 - Prob. 10ECh. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - SKILLS 13-22Geometric Sequence?The first four...Ch. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - Prob. 17ECh. 13.3 - Prob. 18ECh. 13.3 - SKILLS 13-22 Geometric Sequence? The first four...Ch. 13.3 - Prob. 20ECh. 13.3 - Prob. 21ECh. 13.3 - Prob. 22ECh. 13.3 - Prob. 23ECh. 13.3 - Prob. 24ECh. 13.3 - 23-28. Geometric Sequence?Find the first five...Ch. 13.3 - Prob. 26ECh. 13.3 - Prob. 27ECh. 13.3 - Prob. 28ECh. 13.3 - Prob. 29ECh. 13.3 - Prob. 30ECh. 13.3 - 29-38 Terms of a geometric sequenceDetermine the...Ch. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - Prob. 34ECh. 13.3 - Prob. 35ECh. 13.3 - Prob. 36ECh. 13.3 - 2938Terms of a Geometric SequenceDetermine the...Ch. 13.3 - Prob. 38ECh. 13.3 - Prob. 39ECh. 13.3 - 3946 Finding Terms of a Geometric Sequence Find...Ch. 13.3 - The third term is 13 and the sixth term is 9. Find...Ch. 13.3 - The fourth term is 12 and the seventh term is...Ch. 13.3 - The third term is 18 and the sixth term is 9216....Ch. 13.3 - Prob. 44ECh. 13.3 - Prob. 45ECh. 13.3 - Prob. 46ECh. 13.3 - Prob. 47ECh. 13.3 - Prob. 48ECh. 13.3 - 49-52 Partial Sums of a Geometric Sequence Find...Ch. 13.3 - Prob. 50ECh. 13.3 - Prob. 51ECh. 13.3 - Prob. 52ECh. 13.3 - Prob. 53ECh. 13.3 - 53-58 Partial Sums of a Geometric Sequence Find...Ch. 13.3 - 53-58 Partial Sums of a Geometric Sequence Find...Ch. 13.3 - Prob. 56ECh. 13.3 - Prob. 57ECh. 13.3 - Prob. 58ECh. 13.3 - Prob. 59ECh. 13.3 - Prob. 60ECh. 13.3 - SKILLS 59-64 Partial Sums of a Geometric Sequence...Ch. 13.3 - Prob. 62ECh. 13.3 - Prob. 63ECh. 13.3 - Prob. 64ECh. 13.3 - Prob. 65ECh. 13.3 - Prob. 66ECh. 13.3 - SKILLS 65-76 Infinite Geometric Sequence...Ch. 13.3 - Prob. 68ECh. 13.3 - Prob. 69ECh. 13.3 - Prob. 70ECh. 13.3 - Prob. 71ECh. 13.3 - Prob. 72ECh. 13.3 - SKILLS 65-76 Infinite Geometric Sequence...Ch. 13.3 - Prob. 74ECh. 13.3 - Prob. 75ECh. 13.3 - Prob. 76ECh. 13.3 - Prob. 77ECh. 13.3 - Prob. 78ECh. 13.3 - Prob. 79ECh. 13.3 - Prob. 80ECh. 13.3 - Prob. 81ECh. 13.3 - Prob. 82ECh. 13.3 - Prob. 83ECh. 13.3 - Prob. 84ECh. 13.3 - Prob. 85ECh. 13.3 - Prob. 86ECh. 13.3 - Prob. 87ECh. 13.3 - Prob. 88ECh. 13.3 - Prob. 89ECh. 13.3 - Prob. 90ECh. 13.3 - Prob. 91ECh. 13.3 - Musical FrequenciesThe frequencies of musical...Ch. 13.3 - Prob. 93ECh. 13.3 - Geometric Savings Plan A very patient women wishes...Ch. 13.3 - St. Ives The following is a well-known childrens...Ch. 13.3 - Prob. 96ECh. 13.3 - Prob. 97ECh. 13.3 - Prob. 98ECh. 13.3 - Geometry The midpoints of the sides of a square of...Ch. 13.3 - Geometry A circular disk of radius R is cut out of...Ch. 13.3 - Geometry A yellow square of side 1 is divided into...Ch. 13.3 - Prob. 102ECh. 13.3 - Prob. 103ECh. 13.3 - Prob. 104ECh. 13.4 - Prob. 1ECh. 13.4 - Prob. 2ECh. 13.4 - Prob. 3ECh. 13.4 - Prob. 4ECh. 13.4 - Prob. 5ECh. 13.4 - Prob. 6ECh. 13.4 - Prob. 7ECh. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - Prob. 10ECh. 13.4 - Prob. 11ECh. 13.4 - Prob. 12ECh. 13.4 - Prob. 13ECh. 13.4 - Prob. 14ECh. 13.4 - Prob. 15ECh. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - APPLICATIONS MortgageDr. Gupta is considering a...Ch. 13.4 - APPLICATIONS MortgageA couple can afford to make a...Ch. 13.4 - Prob. 21ECh. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Prob. 24ECh. 13.4 - Prob. 25ECh. 13.4 - Prob. 26ECh. 13.4 - Interest Rate An item at a department store is...Ch. 13.4 - Prob. 28ECh. 13.4 - Prob. 29ECh. 13.4 - Prob. 30ECh. 13.4 - Prob. 31ECh. 13.5 - Prob. 1ECh. 13.5 - Prob. 2ECh. 13.5 - Prob. 3ECh. 13.5 - Prob. 4ECh. 13.5 - Prob. 5ECh. 13.5 - Prob. 6ECh. 13.5 - Prob. 7ECh. 13.5 - Prob. 8ECh. 13.5 - Prob. 9ECh. 13.5 - Prob. 10ECh. 13.5 - Prob. 11ECh. 13.5 - Prob. 12ECh. 13.5 - Prob. 13ECh. 13.5 - Prob. 14ECh. 13.5 - Prob. 15ECh. 13.5 - Prob. 16ECh. 13.5 - Prob. 17ECh. 13.5 - Prob. 18ECh. 13.5 - Prob. 19ECh. 13.5 - Prob. 20ECh. 13.5 - Prob. 21ECh. 13.5 - Prob. 22ECh. 13.5 - Prob. 23ECh. 13.5 - Prob. 24ECh. 13.5 - Prob. 25ECh. 13.5 - Prob. 26ECh. 13.5 - Prob. 27ECh. 13.5 - Prob. 28ECh. 13.5 - Prob. 29ECh. 13.5 - Prob. 30ECh. 13.5 - Prob. 31ECh. 13.5 - Prob. 32ECh. 13.5 - Prob. 33ECh. 13.5 - Prob. 34ECh. 13.5 - Prob. 35ECh. 13.5 - Prob. 36ECh. 13.5 - Prob. 37ECh. 13.5 - Prob. 38ECh. 13.6 - Prob. 1ECh. 13.6 - Prob. 2ECh. 13.6 - Prob. 3ECh. 13.6 - Prob. 4ECh. 13.6 - Prob. 5ECh. 13.6 - Prob. 6ECh. 13.6 - Prob. 7ECh. 13.6 - Prob. 8ECh. 13.6 - Prob. 9ECh. 13.6 - Prob. 10ECh. 13.6 - Prob. 11ECh. 13.6 - Prob. 12ECh. 13.6 - Prob. 13ECh. 13.6 - Prob. 14ECh. 13.6 - Prob. 15ECh. 13.6 - Prob. 16ECh. 13.6 - Prob. 17ECh. 13.6 - Prob. 18ECh. 13.6 - Prob. 19ECh. 13.6 - Prob. 20ECh. 13.6 - Prob. 21ECh. 13.6 - Prob. 22ECh. 13.6 - Prob. 23ECh. 13.6 - Prob. 24ECh. 13.6 - Prob. 25ECh. 13.6 - Prob. 26ECh. 13.6 - Prob. 27ECh. 13.6 - Prob. 28ECh. 13.6 - Prob. 29ECh. 13.6 - Prob. 30ECh. 13.6 - Prob. 31ECh. 13.6 - Prob. 32ECh. 13.6 - Prob. 33ECh. 13.6 - Prob. 34ECh. 13.6 - Prob. 35ECh. 13.6 - Prob. 36ECh. 13.6 - Prob. 37ECh. 13.6 - Prob. 38ECh. 13.6 - Prob. 39ECh. 13.6 - Prob. 40ECh. 13.6 - Prob. 41ECh. 13.6 - 29-42 Terms of a Binomial Expansion Find the...Ch. 13.6 - Prob. 43ECh. 13.6 - Prob. 44ECh. 13.6 - Prob. 45ECh. 13.6 - Prob. 46ECh. 13.6 - Prob. 47ECh. 13.6 - Prob. 48ECh. 13.6 - Prob. 49ECh. 13.6 - Prob. 50ECh. 13.6 - Prob. 51ECh. 13.6 - Prob. 52ECh. 13.6 - Prob. 53ECh. 13.6 - Prob. 54ECh. 13.6 - Prob. 55ECh. 13.6 - Prob. 56ECh. 13.6 - Prob. 57ECh. 13.6 - Prob. 58ECh. 13.6 - Prob. 59ECh. 13.CR - Prob. 1CCCh. 13.CR - Prob. 2CCCh. 13.CR - Prob. 3CCCh. 13.CR - Prob. 4CCCh. 13.CR - Prob. 5CCCh. 13.CR - Prob. 6CCCh. 13.CR - Prob. 7CCCh. 13.CR - Prob. 8CCCh. 13.CR - Prob. 9CCCh. 13.CR - Prob. 10CCCh. 13.CR - Prob. 11CCCh. 13.CR - Prob. 12CCCh. 13.CR - Prob. 1ECh. 13.CR - 1-6 Terms of a Sequence Find the first four terms...Ch. 13.CR - Prob. 3ECh. 13.CR - Prob. 4ECh. 13.CR - Prob. 5ECh. 13.CR - Prob. 6ECh. 13.CR - Prob. 7ECh. 13.CR - Prob. 8ECh. 13.CR - Prob. 9ECh. 13.CR - Prob. 10ECh. 13.CR - Prob. 11ECh. 13.CR - Prob. 12ECh. 13.CR - Prob. 13ECh. 13.CR - Prob. 14ECh. 13.CR - Prob. 15ECh. 13.CR - Prob. 16ECh. 13.CR - Prob. 17ECh. 13.CR - Prob. 18ECh. 13.CR - Prob. 19ECh. 13.CR - Prob. 20ECh. 13.CR - Prob. 21ECh. 13.CR - Prob. 22ECh. 13.CR - Prob. 23ECh. 13.CR - Prob. 24ECh. 13.CR - Prob. 25ECh. 13.CR - Prob. 26ECh. 13.CR - Prob. 27ECh. 13.CR - Prob. 28ECh. 13.CR - Prob. 29ECh. 13.CR - Prob. 30ECh. 13.CR - Bacteria Culture A certain type of bacteria...Ch. 13.CR - Prob. 32ECh. 13.CR - Prob. 33ECh. 13.CR - Arithmetic or Geometric? a If a1,a2,a3,... is an...Ch. 13.CR - Prob. 35ECh. 13.CR - Arithmetic and Geometric Sequences Find the values...Ch. 13.CR - Prob. 37ECh. 13.CR - Prob. 38ECh. 13.CR - Prob. 39ECh. 13.CR - Prob. 40ECh. 13.CR - Prob. 41ECh. 13.CR - Prob. 42ECh. 13.CR - Prob. 43ECh. 13.CR - Prob. 44ECh. 13.CR - Prob. 45ECh. 13.CR - Prob. 46ECh. 13.CR - Prob. 47ECh. 13.CR - Prob. 48ECh. 13.CR - Prob. 49ECh. 13.CR - Prob. 50ECh. 13.CR - Prob. 51ECh. 13.CR - Prob. 52ECh. 13.CR - Prob. 53ECh. 13.CR - Prob. 54ECh. 13.CR - Prob. 55ECh. 13.CR - Prob. 56ECh. 13.CR - Prob. 57ECh. 13.CR - Prob. 58ECh. 13.CR - Prob. 59ECh. 13.CR - Prob. 60ECh. 13.CR - Prob. 61ECh. 13.CR - Prob. 62ECh. 13.CR - Prob. 63ECh. 13.CR - Prob. 64ECh. 13.CR - Prob. 65ECh. 13.CR - Prob. 66ECh. 13.CR - Prob. 67ECh. 13.CR - Prob. 68ECh. 13.CR - Prob. 69ECh. 13.CR - Prob. 70ECh. 13.CR - Prob. 71ECh. 13.CR - Prob. 72ECh. 13.CR - Prob. 73ECh. 13.CR - Prob. 74ECh. 13.CR - Prob. 75ECh. 13.CR - Prob. 76ECh. 13.CR - Prob. 77ECh. 13.CR - Prob. 78ECh. 13.CR - Prob. 79ECh. 13.CR - Prob. 80ECh. 13.CR - Prob. 81ECh. 13.CR - Prob. 82ECh. 13.CR - Prob. 83ECh. 13.CT - Prob. 1CTCh. 13.CT - Prob. 2CTCh. 13.CT - Prob. 3CTCh. 13.CT - Prob. 4CTCh. 13.CT - The first term of a geometric sequence is 25, and...Ch. 13.CT - Prob. 6CTCh. 13.CT - Prob. 7CTCh. 13.CT - Prob. 8CTCh. 13.CT - Prob. 9CTCh. 13.CT - Prob. 10CTCh. 13.CT - Prob. 11CTCh. 13.CT - Prob. 12CTCh. 13.CT - Prob. 13CTCh. 13.FOM - Retirement Accounts Many college professors keep...Ch. 13.FOM - Prob. 2PCh. 13.FOM - Monthly Savings Program Alice opens a savings...Ch. 13.FOM - Pollution A chemical plant discharges 2400tons of...Ch. 13.FOM - Prob. 5PCh. 13.FOM - Prob. 6P
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- 2. The duration of the ride is 15 min. (a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel? (b) What is the position of that passenger when the ride ends?arrow_forward3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents the pendulum's displacement as a function of time. Answer: f(t) (a) Write an equation to represent the displacement of the pendulum as a function of time. (b) Graph the function. 10 9 8 7 6 5 4 3 2 1 0 t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -1 -5. -6 -7 -8 -9 -10-arrow_forwardA power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes. (a) What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. (b) Will the last passenger to board the ride need to wait in order to exit the ride? Explain.arrow_forward
- The Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride. Height of Passenger in Ferris Wheel 180 160 140- €120 Height, h (ft) 100 80 60 40 20 0 ך 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Time of operation, t (min) Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes. What is the period of the sine function model? Interpret the period you found in the context of the operation of the Ferris wheel. Answer:arrow_forward1. Graph the function f(x)=sin(x) −2¸ Answer: y -2π 一元 1 −1 -2 -3 -4+ 元 2πarrow_forward3. Graph the function f(x) = −(x-2)²+4 Answer: f(x) 6 5 4 3 2+ 1 -6-5 -4-3-2-1 × 1 2 3 4 5 6 -1 -2+ ရာ -3+ -4+ -5 -6arrow_forward
- 2. Graph the function f(x) = cos(2x)+1 Answer: -2π 一元 y 3 2- 1 -1 -2+ ရာ -3- Π 2πarrow_forward2. Graph the function f(x) = |x+1+2 Answer: -6-5-4-3-2-1 f(x) 6 5 4 3 2 1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6arrow_forward1. The table shows values of a function f(x). What is the average rate of change of f(x) over the interval from x = 5 to x = 9? Show your work. X 4 f(x) LO 5 6 7 8 9 10 -2 8 10 11 14 18arrow_forward
- • Find a real-world situation that can be represented by a sinusoidal function. You may find something online that represents a sinusoidal graph or you can create a sinusoidal graph yourself with a measuring tape and a rope. • Provide a graph complete with labels and units for the x- and y-axes. • Describe the amplitude, period, and vertical shift in terms of the real-world situation.arrow_forwardf(x) = 4x²+6x 2. Given g(x) = 2x² +13x+15 and find 41 (4)(x) Show your work.arrow_forwardf(x) = x² − 6x + 8 3. Given and g(x) = x -2 solve f(x) = g(x) using a table of values. Show your work.arrow_forward
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