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CBSE Class 12-science Answered

x=acos^3theta and y=bsin^3theta find d^2y/dx^2.
Asked by gunturiabhishek | 18 Oct, 2020, 03:40: PM
answered-by-expert Expert Answer
Given: x=acos3theta and y=bsin3theta
dx over dθ equals negative 3 acos squared straight theta space sinθ dy over dθ equals 3 bsin squared straight theta space cosθ dy over dx equals negative bsinθ over acosθ equals negative straight b over straight a tanθ fraction numerator straight d squared straight y over denominator dx squared end fraction equals negative straight b over straight a cross times straight d over dθ open parentheses tanθ close parentheses cross times dθ over dx equals negative straight b over straight a cross times fraction numerator sec squared straight theta over denominator negative 3 acos squared straight theta space sinθ end fraction equals fraction numerator bsec to the power of 4 straight theta over denominator 3 straight a squared sinθ end fraction
Answered by Renu Varma | 29 Dec, 2020, 03:40: PM

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CBSE 12-science - Maths
x=acos^3theta and y=bsin^3theta find d^2y/dx^2.
Asked by gunturiabhishek | 18 Oct, 2020, 03:40: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
if x=a(1-cosθ ),y =b sinθ , then find dy/dx and d^2y/dx^2.
Asked by Gothai | 28 Aug, 2018, 11:33: PM
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CBSE 12-science - Maths
If x = a cos thita + b sin thita and y = a sin thita – b cos thita, show that y2d2y/dx2 – x dy/dx + y = 0 explain in great detail
Asked by haroonrashidgkp | 25 Aug, 2018, 07:15: PM
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CBSE 12-science - Maths
If x = a(cos thita + thita sin thita) and y = a(sin thita – thita cos thita), show that d2y/dx2 = 1/a (sec3thita / thita) Explain in great detail
Asked by haroonrashidgkp | 25 Aug, 2018, 07:15: PM
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CBSE 12-science - Maths
If y = {x + (x2 + 1)1/2}m then show that (x2 + 1)d2y/dx2 + x dy/dx – m2y = 0
Asked by haroonrashidgkp | 25 Aug, 2018, 07:13: PM
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CBSE 12-science - Maths
If y = ea cos-1 x  , -1 <_  x _< 1 show that (1 – x2)d2y/dx2 – x dy/dx – a2y = 0       explain in great detail
Asked by haroonrashidgkp | 25 Aug, 2018, 07:05: PM
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CBSE 12-science - Maths
Find the second order derivative of  sin 3x cos 5x  
Asked by haroonrashidgkp | 24 Aug, 2018, 11:12: PM
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CBSE 12-science - Maths
Find the second order derivative  of e3x sin 4x Explain in great detail  
Asked by haroonrashidgkp | 24 Aug, 2018, 11:12: PM
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CBSE 12-science - Maths
If y = sec x – tan x , show that  (cos x)d2y/dx2 = y2 Explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 11:11: PM
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CBSE 12-science - Maths
Differentiate space straight y equals square root of fraction numerator straight x squared plus 2 over denominator straight x squared plus 3 end fraction end root 
Asked by Topperlearning User | 01 Aug, 2014, 01:27: PM
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