Questions asked by Monzur R.

• Back to user's profile
• How can one prove that #ln(sec^2x+csc^2x) = ln(sec^2x)+ln(csc^2 x)#?
  
• Why isn't set-builder notation used for defining functions?
  
• Can I apply the sum-to-product formula to #cos3theta+(sqrt2-1)costheta# and how do I do it?
  
• How do I calculate the #"pH"# of the buffer solution when #1.00# #"g"# of potassium ethanoate is dissolved in #50.0# #"cm"^3# of #0.20# #"mol"# #"dm"^-3# ethanoic acid (#"K"_"a"=1.74xx10^-5# #"mol"# #"dm"^-3#)?
  
• How do I calculate the #"pH"# of the buffer solution formed when #10.0# #"cm"^3# of #0.80# #"mol"# #"dm"^-3# sodium hydroxide is mixed with #50.0# #"cm"^3# of #0.50# #"mol"# #"dm"^-3# ethanoic acid (#"K"_"a"=1.74xx10^-5# #"mol"# #"dm"^-3#)?
  
• The point #P(alpha,beta)# lies on the curve #C# with equation #f(x)= 1/3x+12/x# such that #alpha>0, alpha≠6#. The normal at #P# only crosses #C# once. How do I find the exact value of #alpha#?
  
• The angles in an #n#-sided polygon satisfy an arithmetic sequence with #a_1 =143^@# and #d=2#. Given that all of the internal angles of the polygon are less than #180^@#, how do I find #n#?
  
• How can I see which of my answers have been featured as great answers?
  
• When does an answer become 'yours'?
  
• Why does adding #"AgNO"_(3("aq"))# to #"I"_(2("s")) rightleftharpoons "I"_(2("aq"))# cause the aqueous iodine to precipitate into a solid?
  
• Why does #"NaOH"# only react with one acidic proton in salicylic acid even though both the carboxyl and the hydroxyl groups could potentially react with it?
  
• How did earlier mathematicians calculate limits so accurately?
  
• How do I solve #tan9x-tan2x=tan9xtan6xtan3x+tan6xtan4xtan2x#?
  
• Why is the line in bold valid (Picture added below)?
  
• Is there a way to stop receiving the 'Just asked' emails only?
  
• What is #d/dx(cosx(dy)/dz)# where #z=sinx#?
  
• Is it possible to find the following limit without using l'Hôpital's rule?
  
• How do we approximate #f^(-1)(x)#?
  
• How do I solve #648x+353y=1# for #x# and #y# working backwards from Euclid's algorithm for #gcd(648,353)#?
  
• How can I evaluate #lim_(x->0) (sinx-x)/x^3# without using L'Hopital's rule?
  
• Let #bbu#, #bbv#, #bb(w)# be vectors. How can we prove #bbu xx (bbv xx bb(w)) = (bbu * bb(w)) bbv - (bbu * bbv) bb(w)#?
  
• How do I evaluate #int_0^oo e^-x/sqrtxdx#?
  
• What is the maximum value of #Q(p,q,r)=2pq+2pr+2qr# subject to #p+q+r=1#?