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given in polar coordinates. (i) Create a table r(0) 0 r(0) r(0) -5m/12 76 r = 5 cos² (0/2), (-= < 0 < =). | -11m/12 | -5m/6 | -3n/4|-2n/3 | -7/12 |-/2 5m/6 11/12 -/6/12 0 5/12/2 r(0) with the values of the function r(0) rounded to two decimal places. /12

given in polar coordinates. (i) Create a table r(0) 0 r(0) r(0) -5m/12 76 r = 5 cos² (0/2), (-= < 0 < =). | -11m/12 | -5m/6 | -3n/4|-2n/3 | -7/12 |-/2 5m/6 11/12 -/6/12 0 5/12/2 r(0) with the values of the function r(0) rounded to two decimal places. /12

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 38E
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NAME: TURAN ÇİÇEKÇİ (190302014) 1. (Polar Coordinate System: Polar Plots). Consider the curve r = 5 cos"(0/2), (- 0< ), given in polar coordinates. 92 (i) Create a table |-117/12 | -5n/6 |-37/4 | -27/3 | -77/12 | -1/2 r(0) -5m/12 r(0) -1/3 -=/4 -=/6 -T/12 */12 */6 /4 =/3 5x/12 /2 7x/12 2/3 r(@) 3/4 5m/6 11т/12 r(8) with the values of the function r(0) rounded to two decimal places. (ii) (a) Download the image file (Polar.coords-graph.paper.png) with the polar coordinate graph paper at the as- signment page, and open the file in any graph editor (e.g. in MS Paint). (b) Use (i) to plot the points with polar coordinates (r(0), 0) on the graph coordinate paper for all values e from table. (c) Draw a smooth curve through the plotted points, thereby getting a sketch of the curve (please proceed exactly as instructed, your solution won't be accepted, otherwise; in particular, any image files in your solution that are not based on the above-mentioned image file will be ignored). (d) Save your work, and include the image file in your solution. Please give a complete solution to the problem.
Transcribed Image Text:NAME: TURAN ÇİÇEKÇİ (190302014) 1. (Polar Coordinate System: Polar Plots). Consider the curve r = 5 cos"(0/2), (- 0< ), given in polar coordinates. 92 (i) Create a table |-117/12 | -5n/6 |-37/4 | -27/3 | -77/12 | -1/2 r(0) -5m/12 r(0) -1/3 -=/4 -=/6 -T/12 */12 */6 /4 =/3 5x/12 /2 7x/12 2/3 r(@) 3/4 5m/6 11т/12 r(8) with the values of the function r(0) rounded to two decimal places. (ii) (a) Download the image file (Polar.coords-graph.paper.png) with the polar coordinate graph paper at the as- signment page, and open the file in any graph editor (e.g. in MS Paint). (b) Use (i) to plot the points with polar coordinates (r(0), 0) on the graph coordinate paper for all values e from table. (c) Draw a smooth curve through the plotted points, thereby getting a sketch of the curve (please proceed exactly as instructed, your solution won't be accepted, otherwise; in particular, any image files in your solution that are not based on the above-mentioned image file will be ignored). (d) Save your work, and include the image file in your solution. Please give a complete solution to the problem.
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