Alexis (TVAH StuK K12 Online Schoolx Forensic Science_General Session xncedSequenceViewer/1630542?url=https%3A%2F%2Fe02711f5-1353-40b6-af9b-349f7ff846bd.sequences.api.brightspace.com%2F1630542%2Factivity%2F256190022%3F:7.12 Graded Quiz REQThe graph shows the vertical displacement y, in centimeters, that a weight bouncing from a spring would achieve if there were nfriction, for a given number of seconds, x.From its resting position, how long does it take the weight to bounce one direction, then the other, and then return to its restingposition?18161412-108-6.4-6.78 9 10 11 12 13 14 15 16 17 18 19 20-246---8-10--12--14+-16-18+O 3s3 sO 6sO 16 so 32 sOFOF10F12SCHOLLLOCKNERT96HOMEPACEDAGEDOWNENT Periodic Functions Wrap-UpWhat is the period of the function?4.3147t8元-1-2O TO 2TO 47O 8T

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Answered: What is the period of the function? Ay…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 6PS

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DISCUSS: Periodic Functions I Recall that a function f is periodic if there is a positive number p such that ft+p=ft for every t, and the least such p if it exists is the period of f. The graph of a function of period p looks the same on each interval of length p, so we can easily determine the period from the graph. Determine whether the function whose graph is shown is periodic; if it is periodic, find the period.
Simple Harmonic Motion A mass suspended from a spring oscillates in simple harmonic motion at a frequency of 4 cycles per second. The distance from the highest to the lowest point of the oscillation is 100 cm. Find an equation that describes the distance of the mass from its rest position as a function of time. Assume that the mass is at its lowest point when t=0.
Vibrating String When a violin string vibrates, the sound produced results from a combination of standing waves that have evenly placed nodes. The figure (1) illustrates some of the possible standing waves. Lets assume that the string has length . a.For fixed t, the string has the shape of a sine curve y=Asinx. Find the appropriate value of for each of the illustrated standing waves. b.Do you notice a pattern in the values of that you found in part a? What would the next two values of be? Sketch rough graphs of the standing waves associated with these new values of . c.Suppose that for fixed t, each point on the string that is not a node vibrates with frequency 440Hz. Find the value of for which an equation of the form y=Acost would model this motion. d.Combine your answers for parts a and c to find functions of the form y(x,t)=Asinxcost that model each of the standing waves in the figure. Assume that A=1. Figure (1)
The trigonometry function y=cscx has period ________________ and asymptotes x = ____________. Sketch a graph of this function on the interval (,).
Air Temperature As dry air moves upward, it expand and, in so doing, cools at a rate of about 1°C for each 100-meter rise, up to about 12 km. (a) If the ground temperature is 20°C, write a formula for the temperature at height h. (b) What range of temperatures can be expected if an air plane lakes off and reaches a maximum height of 5 km?
Parallax To find the distance to nearby stars, the method of parallax is used. The idea is to find a triangle with the star at one vertex and with a base as large as possible. To do this, the star is observed at two different times exactly 6 months apart, and its apparent change in position is recorded. From these two observations E1SE2 can be calculated. The times are chosen so that E1SE2 is as large as possible, which guarantees that E1OS is 90. The angle E1SO is called the parallax of the star. Alpha Centauri, the star nearest the earth, has a parallax of 0.000211. Estimate the distance to this star. Take the distance from the earth to the sun to be 9.3107 mi
Lending Money For a certain loan, the interest I due at the end of a loan period is given by I=Prt, where P is the principal barrowed, r is the yearly interest rate as a decimal, and t is the number of years since the money was barrowed. What interest is accrued if 3 years ago we barrowed 5000 at an interest rate of 5%?
pH of swimming pool The ideal pH for a swimming pool is 7.2, the same pH as our eyes. The swimming pool at the local YMCA has a hydrogen ion concentration of 1.610-7 gram-ions per liter. Find the pH of the pool. Round to two decimal places. Is this ideal?
Periodic Function The function f is periodic, withperiod c. So, f(t + c) = f(t). Determine whether eachstatement is true or false. Explain.
Simple Harmonic Motion A mass suspended from a springoscillates in simple harmonic motion at a frequency of4 cycles per second. The distance from the highest to thelowest point of the oscillation is 100 cm. Find an equationthat describes the distance of the mass from its rest positionas a function of time. Assume that the mass is at its lowestpoint when t  0.
Tide height as a function of time resembles a sinusoidal function during the time between low and high tide. At one such location on another planet with water, the tide has a high of 12.7 feet at 2 am and then the next low is -0.8 feet at 11 am (9 hours later). Find a formula for a sinusoidal function H(t) that gives the height t hours after midnight.
Tide height as a function of time resembles a sinusoidal function during the time between low and high tide. At one such location on another planet with water, the tide has a high of 12.7 feet at 2 am and then the next low is -0.8 feet at 11 am (9 hours later). Find a formula for a sinusoidal function H(t) that gives the height tt hours after midnight.

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