Question: Calculus Lab Write-upWeek5Modeling Daylight Hours with Sine and Cosine Functions (Desmos)Include your name and the names of the people in your group on your lab

Calculus Lab Write-upWeek5Modeling Daylight Hours with Sine and Cosine Functions (Desmos)Include your name and the names of the people in your group on your lab write-up. Each personwill submit their own lab write-up, saved as a PDF to the online system.1.(80points)DemonstrateandExplain:Clearlyandthoroughlyexplainyouranswerstothesequestionsbasedontheworkyoudidwithyourgroupinlabthisweek.Thesequestions5ArefertoLab:ModelingDaylightHourswithSineandCosineFunctions.Youcanfindthedataathttps://www.timeanddate.com/sun/usa/san-francisco.(a)(Parts1d&1e)CreateasineORcosinefunctiontomodelthenumberofdaylight (in minutes)forSanFranciscoacrosstheyear.Includeawell-labeledandscaledgraphofyourfunctionanddescribehowthevaluesfortheparameters,a,b,c,anddarerelatedtothesituation.Also, include a table of your days and minutes.(b)(Part3)Onwhichday,t,isthenumberofminutesofdaylightincreasingmostquicklyinSanFrancisco?Explainhowyoucanseethisonthegraphofyourmodel.WhatisS(t)(orC(t)ifyouchosethecosinemodel)?Whatdoesthisvaluemean?(c)(Part2a)Thefunction2Z(x) = 195cos(x355)+ 731366minutesisamodelforthenumberofofdaylightinChristchurch,NewZealand.HowisthefunctionZ(x)differentfromthemodelforSanFrancisco,S(x)?Whatexplainsthisdifference?(d) Calculate the values forZ(172) andZ(172), rounded the nearest 0.1,and explain whatthey each mean in the context of minutes of daylight in New Zealand

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