Questions asked by Laeticia S.

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• Given that y=(k+x)cosx where k is a constant find d^2y\dx^2 +y and show that it's independent of k ?
  
• Given that #x# and #y# vary so that #ax + by= c# , where #a,b,c# are constant. Show that the minimum value of #x^2 + y^2# is #c^2/ a^2 + b^2# ?
  
• 'Find the equation of the tangent to the curve ay^2=x^3 at the point (at^2,at^3) where a>0 and t is a parameter ?
  
• Differentiate with respect to x #e^tanx/x^(1/2)# ?
  
• Differentiate sinx^2 with respect to x ?
  
• If the roots of ax^2 + bx + c=0 differ by 1, show that they are #(a-b)/(2a)# and #- (a+b)/(2a)# . and prove that #b^2 = a(a+4a)#?