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2. a. b. Use the arc length formula to find the arc length along the curve y = 36-x, 0 x 3. Find the

 

2. a. b. Use the arc length formula to find the arc length along the curve y = 36-x, 0 x 3. Find the same arc length by using geometry and trigonometry. [Note that the given curve is the upper half of a circle. Find the circumference of the (entire) circle, and determine what fraction of the circumference is covered from 0 x 3]. Your answer should include a drawing of the graph with the given arc length highlighted, as well as the right triangle that is used to determine the angle (and therefore what fraction of the circle is used). [Please see your 10/4 lecture notes for a similar arc length example].

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