13 12 -11 -10 -9 -8 -6 -5 -4 -3 -2 -1 -1 31 4 6. 7. -2 -3- -4 -5- The curve above is the graph of a sinusoidal function. It goes through the points (– 7, 0) and (3, 0). Find a sinusoidal function that matches the given graph. If needed, you can enter 7=3.1416... as 'pi' in your answer, otherwise use at least 3 decimal digits. f(a) %3D
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- suppose that the length of time between consecutive high tides is 12 hours and 26 mins. on a particular day the high tide occurred at 12:26 am (0.43 hours) and the low tide occurred at 7:07 (7.12 hours). Water heights are measured as the amounts above or below the mean lower low water. The height of the water at high tide was 5.94 feet and the height of the water at low tide was 0.04 feet. The next high tide will occur at 12:52pm. Find the sinusoidal function of the form of sinIn a city the number of hours of sunlight on the summer solstice of 2015 was 18.42, and the number if hours of sunlight on the winter solstice was 5.44. (Hint: the summer solstice occurs on the 172nd day of the year and there are 365 days until the next one.) Find a sinusoidal function of the form y = Asin that models the data. y = ___sin (___x - ___) + ___According to the Old Farmer’s Almanac, in Anchorage, Alaska, the number of hours of sunlight on the summer solstice of 2010 was 19.42 and the number of hours of sunlight on the winter solstice was 5.48. (a) Find a sinusoidal function of the form y=Asin(ωx- ϕ)+B that models the data. (b) Use the function found in part (a) to predict the number of hours of sunlight on April 1,the 91st day of the year. (c) Draw a graph of the function found in part (a). *(d) Look up the number of hours of sunlight for April 1 in the Old Farmer’s Almanac,and compare the actual hours of daylight to the results found in part (c).
- Did you know that out from the rotation of a Ferris wheel a graph of either sine or cosine function is formed? Amazing right?! This is due to the shape of the said ride as compared to a unit circle. Assume that you were riding on the biggest Ferris wheel in the Philippines – known as the Pampanga eye. As you enter on its gondola at the base, the minimum point of the graph of the said functions above is already represented and the maximum point of the graph is located when you have reached the top of the wheel. Whereas, the period or one complete cycle of the graph is attained when you reach at the base again. Your task this time is to sketch the graph of a circular function based on the movement of a Ferris wheel, determine its amplitude and period, and illustrate its domain and range. Now, let’s get started! From riding the Ferris wheel, you observe the following: (1) The gondola is 2 meters off the ground; (2) The top portion of the wheel is 60 meters from the gondola at the base (3)…When comparing two different sinusoidal functions that are in the form we noticed that: • Function 1 has triple the amplitude of function 2 • Function 2 has half the period and double the median value of function 1 a) Create two possible sinusoidal functions that are in the form that satisfy the conditions stated above. Sinusoidal Function1: Sinusoidal Function 2:A transformed sine function has a maximum value of 6 and a minimum value of -4. What is the amplitude and the vertical translation of the function?
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- A mobile base stationin an urban environment has a power measurement of 25 µW at 225 m. If the propagation follows an inverse 4th-power law (Section 3.2.2), assuming a distance of 0.9 km from the base station, what would be a reasonable power value, in µW? Give your answer in scientific notation to 2 decimal places.The parametric curve defined by [x = 4t - π · sin(2t) ly = 4 - π· cos(2t) is shown. The curve intersects itself at the point (0,4).The curve with parametric equationsx = (1 + 2 sin θ) cos θ, y = (1 + 2 sin θ) sin θis called a limaçon. Findthe points (x, y) and the slopes of the tangent lines at these pointsfor θ = 4π/3