Questions asked by marcous t.

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• A curve is given by the parametric equations #x= c (1 - sinA)# and #y= c (1 + cosA)#, what is #dy/dx# when #A= π/3#?
  
• Given that #xe^y = x+1#, show that #e^y + xe^ydy/dx = 1#?
  
• If y^3 - 3x^2 y - 6x = 0, show that (y^2 - x^2)d^2 y/dx^2 + 2y(dy/dx)^2 - 4xdy/dx - 2y = 0 ?
  
• Show that if #y= (sin^-1 x)^2# then #(1 - x^2) (d^2y)/(dx^2) - xdy/dx - 2 = 0# ?
  
• Given that #y= e^-x sinbx#, where #b# is a constant, show that # (d^2y)/(dx^2) + 2dy/dx + ( 1 + b^2) y = 0 # ?
  
• Prove that d/dx ( 1 + sinx + cosx/ 1 - sinx + cosx) = secx ( secx + tanx) ??
  
• Find lim x--->0 (e^3x - 1/ 3x) ??
  
• Prove that if #y= sinx/x#, show that #(d^2y)/(dx^2) + 2/x dy/dx + y = 0# ?
  
• What is the electronic configuration of #"Co"# atom and a #"Co"^(2+)# ion ??
  
• If #y= sinx/ x^2#, find #dy/dx# and #(d^2y)/(dx^2)#. Then prove that #x^2 (d^2y)/(dx^2) + 4x dy/dx + (x^2 + 2) y = 0# ?
  
• Find lim x^4 - 8x/ x - 2 as x-->2 ??
  
• Express cos4x as powers of cosx. ?
  
• Please i need a good essay plan to follow when writing an essay on ''babies'' can someone help???