You don't need to answer the multiple-choice question. Use the model for W to determine how much of the width of the moon is illuminated 8 days after a full moon.(Give your answer to the nearest whole number.)W =The following observation is taken from the website of the Astronomical Applications Department of the U.S.Naval Observatory:Although Full Moon occurs each month at a specific date and time, the Moon's disk may appear to be full for several nights in arow if it is clear. This is because the percentage of the Moon's disk that appears illuminated changes very slowly around the timeof Full Moon (also around New Moon, but the Moon is not visible at all then).Explain this observation in terms of a graph of the function W and rates of change. Use the graphing utility to plot the graphof W. Let W be the fraction of the width of the moon illuminated (as we observe it) as a function of time i in days. For example, whenthe moon is full, W = 1. One model is12xtW =+-cos29.5This model assumes that i = 0 corresponds to a full moon.This model for W represents a sine wave that has been shifted vertically. State the period of the sine wave.(Give an exact answer. Use symbolic notation and fractions where needed.)period:daysExplain in terms of phases of the moon what this period means.This period represents the number of days between the phase of the new moon and the phase of the half moon.This period represents the number of days between the phase of the new moon and the phase of the full moon.This period represents the number of days it takes the moon to get from any phase to that same phase again.

We have the model, W = 12+12cos2πt29.5 Where t is time in days.

Let W be the fraction of the width of the moon illuminated (as we observe it) as a function of time i in days. For example, when the moon is full, W = 1. One model is 1 2at cos 29.5 This model assumes that 1 = 0 corresponds to a full moon. This model for W represents a sine wave that has been shifted vertically. State the period of the sine wave. (Give an exact answer. Use symbolic notation and fractions where needed.) period: days Explain in terms of phases of the moon what this period means. This period represents the number of days between the phase of the new moon and the phase of the half moon. This period represents the number of days between the phase of the new moon and the phase of the full moon. This period represents the number of days it takes the moon to get from any phase to that same phase again.

Let W be the fraction of the width of the moon illuminated (as we observe it) as a function of time i in days. For example, when the moon is full, W = 1. One model is 1 2at cos 29.5 This model assumes that 1 = 0 corresponds to a full moon. This model for W represents a sine wave that has been shifted vertically. State the period of the sine wave. (Give an exact answer. Use symbolic notation and fractions where needed.) period: days Explain in terms of phases of the moon what this period means. This period represents the number of days between the phase of the new moon and the phase of the half moon. This period represents the number of days between the phase of the new moon and the phase of the full moon. This period represents the number of days it takes the moon to get from any phase to that same phase again.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.3: The Addition And Subtraction Formulas

Problem 70E

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