Problem 6. For each curve given below, sketch the graphs of BOTH: r=r(0), i.e. put 8 as the horizontal axis, and r(0) as

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Problem 6 For Each Curve Given Below Sketch The Graphs Of Both R R 0 I E Put 8 As The Horizontal Axis And R 0 As 1 (27.94 KiB) Viewed 10 times

Problem 6. For each curve given below, sketch the graphs of BOTH: r=r(0), i.e. put 8 as the horizontal axis, and r(0) as the vertical one. • Sketch the graph in rectangular (x, y) coordinates. Desmos may be helpful here. a. r = 3, b. r = 2 sin(0), c. r = 2 cos(20), d. r = 20 [this is a famous curve called a spiral of Archimedes]. Problem 7. Limacon is a famous curve given by a polar equation r = 2 + 4 sin(0) a. Sketch the graph of the above equation. Use either Desmos or Wolframalpha. b. Explain why the above graph does not intersect the region that is both below the line y = r and below the line y = -x.