Question: Please look at attachment for better viewing ProblemsConsider the two functions:f(x)=cos(x)g(x)=1-cos(x)a.[2pts] Use a computer system to graph both of these on the same set of

Please look at attachment for better viewing ProblemsConsider the two functions:f(x)=cos(x)g(x)=1-cos(x)a.[2pts] Use a computer system to graph both of these on the same set of axes. Makesure to include enough of the graph to see the repeating pattern. (I suggest usingDesmos.com. Feel free to directly insert a picture file into your homeworkdocument.)b.[2pts] Use algebra to find the set ofx+2k" notation asaway to write them all.g(x)ison top. Leave youranswer in exact form.[3pts] Give a real-life example of a solid of revolution that is different than examplesgiven in the book or lectures. Briefly sketch the curve that generates this solid and theaxis it rotates around.(Make sure that the object you specify is the solid and not the region that generates it.)Let Rbe the region bounded by the y-axis, y=1, and y=5x+1.a.[2pts] Sketch R.b.[4pts] Let S1be the solid obtained by revolving R around the x-axis. Sketch apicture ofS1 and find the volume ofS1.c.[4pts] Let S2be the solid obtained by revolving R around the y-axis. Sketch apicture ofS2 and find the volume ofS2.

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