Question

1 Find the entire arc length of the cardioid r = 1 + sin 8. 2. Find the standard equation of the sphere whose center is at (-
0 0
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1) Given, ra It sino Solution Arc length is given given by, L = sds + (do 2 do 02 ds- 82 + dr do coso ds= Sitsino) + cose do

both sides, and xly by a adding Elt 3 IT takt 2 T t & KT 2 x 2 value of k. Tums is lerve for aan any The interval is 3 T o €

₂ 32 2 Center (-1,3 24 9, 3, passing through origin. - -> (0,0,0) Solution Standard equation of sphere is, (-a)? + (9-b)? +(3

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