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- In whoville, the amount of rainfall varies greatly each week and follows a sinusoidal pattern. The following data is the recorded millimeters (mm) of precipitation across 14 weeks. Determine a sine and a cosine function that approximates the amount of rainfall over time in weeks. Decimals are allowed. Week 1, rainfall(mm) - 1.4 Week 2, rainfall(mm) - 3.1 Week 3, rainfall(mm) - 4.3 Week 4, rainfall(mm) - 2.9 Week 5, rainfall(mm) - 1.2 Week 6, rainfall(mm) - 0.1 Week 7, rainfall(mm) - 1.3 Week 8, rainfall(mm) - 2.7 Week 9, rainfall(mm) - 4.3 Week 10, rainfall(mm) - 3.2 Week 11, rainfall(mm) - 1.1 Week 12, rainfall(mm) - 0.2 Week 13, rainfall(mm) - 1.2 Week 14, rainfall(mm) - 2.8On a piece of graph paper, create an amplitude vs. time graph of a sine wave with an amplitude of 5 Pa and a period T = .03 sec. Now plot the same wave on a pressure vs. distance graph. Assume that c = 344 m/s.Which of the above forecasts will have the highest magnitude in actual (absolute) terms? a. 3-period moving average B.Simple Moving Average C. (6,4,3,2) D. Alpha = .3
- 1. calculate position from the data 2. calculate dispersionOn a piece of graph paper, create an amplitude vs. time graph of a sine wave with an amplitude of 5 Pa and a period T = .03 sec. What is the frequency of this wave? Now plot the same wave on a pressure vs. distance graph. Assume that c = 344 m/s. If the speed of sound were higher, what effect would it have on wavelength? How about period? Make an image file of your paperwork using either a scanner or a digital camera. You can use a phone camera with a resolution of at least 2 megapixels. Attach the image file(s) to your assignment post.Find the equation of a cosine wave that is obtained by shifting the graph of y = cos x to the left 7 units and upward 8 units and that is horizontally compressed by a factor of 10 when compared to y = cos x.
- By observing it with a camera, a star is seen to have an apparent magnitude of m = 10.0. Using spectroscopic parallax, we are able to determine that its absolute magnitude is M = 2.5. By comparing these two magnitudes, find the distance of the star in parsecs. answer to three significant figures.Given an object in damped harmonic motion, the amplitude (increases/decreases) with timeUse the information from Exercise 12 to estimate cos 69∘ correct to five decimal places.