Questions asked by Monzur R.
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How can one prove that #ln(sec^2x+csc^2x) = ln(sec^2x)+ln(csc^2 x)#?

Why isn't setbuilder notation used for defining functions?

Can I apply the sumtoproduct formula to #cos3theta+(sqrt21)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 #tan9xtan2x=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) (sinxx)/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#?