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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   Explain in great detail
Asked by haroonrashidgkp | 25 Aug, 2018, 07:06: PM
answered-by-expert Expert Answer
begin mathsize 18px style straight x equals straight a open parentheses straight theta space minus sin space straight theta close parentheses
dx over dθ equals straight a open parentheses 1 minus cos space straight theta close parentheses
fraction numerator straight d squared straight x over denominator dθ squared end fraction equals straight a open parentheses sin space straight theta close parentheses
straight y equals straight a open parentheses 1 space minus cos space straight theta close parentheses
dy over dθ equals straight a open parentheses sin space straight theta close parentheses
fraction numerator straight d squared straight y over denominator dθ squared end fraction equals straight a open parentheses cos space straight theta close parentheses
fraction numerator straight d squared straight y over denominator dx squared end fraction equals fraction numerator fraction numerator straight d squared straight y over denominator dθ squared end fraction over denominator fraction numerator straight d squared straight x over denominator dθ squared end fraction end fraction equals fraction numerator cos space straight theta over denominator sin space straight theta end fraction equals cot space straight theta
cot space straight pi equals infinity end style
Answered by Arun | 28 Aug, 2018, 10:46: AM
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