Answers edited by Ayush S.

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• After 42 days a 2.0 g sample of phosphorus-32 contains only 0.25 g of the isotope. What is the half-life of phosphorus-32?
  
• What is the vertex of # y=x^2/7-7x+1 #?
  
• Let there be spherically symmetric charge distribution with charge density P(x)=Pₒ[(5/4)-(r/R)] up-to r=R, P(r)=0 for r≻R. Where 'r'is the distance from origin. What is the electric field at a distance 'r' (r≻R) form the origin?
  
• How do I solve #(2sqrt2-2)cosalpha=3sin^2alpha+sqrt2-4#?
  
• What is ∫ e^x(1/x - 1/x^2) =?
  
• How do you find intercepts, extrema, points of inflections, asymptotes and graph #y=2-x-x^3#?
  
• Prove that d/dx ( 1 + sinx + cosx/ 1 - sinx + cosx) = secx ( secx + tanx) ??
  
• How do you evaluate #\frac { 2} { 5} \div \frac { 3} { 4} #?
  
• How do you convert #2=(8x-7y)^2-7x# into polar form?