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CBSE Class 12-science Answered

If x = a(thita + sin thita) and y = a(1 – cos thita) , find d2y/dx2 at thita = pie/2 Explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 10:54: PM
answered-by-expert Expert Answer
begin mathsize 18px style straight x equals straight a open parentheses straight theta plus sin space straight theta close parentheses
dx over dθ equals straight a open parentheses 1 plus cos space straight theta close parentheses
fraction numerator straight d squared straight x over denominator dθ squared end fraction equals straight a open parentheses negative sin space straight theta close parentheses
straight y equals straight a open parentheses 1 minus cos space straight theta close parentheses
dy over dθ equals straight a open parentheses plus sin space straight theta close parentheses
fraction numerator straight d squared straight y over denominator dθ squared end fraction equals straight a open parentheses negative cos space straight theta close parentheses
fraction numerator straight d squared straight y over denominator dx squared end fraction equals fraction numerator straight a open parentheses negative cos space straight theta close parentheses over denominator straight a open parentheses negative sin space straight theta close parentheses end fraction equals cot space straight theta
cot open parentheses straight pi over 2 close parentheses equals 0 end style
Answered by Arun | 27 Aug, 2018, 02:44: PM
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