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Question Number 185539 Answers: 1 Comments: 0

lim_(x→0) ((4e^(3x) −9e^(2x) +6x+5)/x^3 )=?

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{4}{e}^{\mathrm{3}{x}} −\mathrm{9}{e}^{\mathrm{2}{x}} +\mathrm{6}{x}+\mathrm{5}}{{x}^{\mathrm{3}} }=? \\ $$

Question Number 185537 Answers: 1 Comments: 1

lim_(x→0) ((e^(2x) −4e^x +2x+3)/x^3 )=?

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{e}^{\mathrm{2}{x}} −\mathrm{4}{e}^{{x}} +\mathrm{2}{x}+\mathrm{3}}{{x}^{\mathrm{3}} }=? \\ $$

Question Number 185536 Answers: 1 Comments: 1

x^4 +x^(ln5) =19 x^(lnx) +ln^2 x=4 x=?

$${x}^{\mathrm{4}} +{x}^{{ln}\mathrm{5}} =\mathrm{19} \\ $$$${x}^{{lnx}} +{ln}^{\mathrm{2}} {x}=\mathrm{4} \\ $$$${x}=? \\ $$

Question Number 185532 Answers: 0 Comments: 0

Question Number 185529 Answers: 2 Comments: 0

Question Number 185526 Answers: 1 Comments: 0

solve y′′ = (2y+3)(y′)^2

$$\:{solve}\:{y}''\:=\:\left(\mathrm{2}{y}+\mathrm{3}\right)\left({y}'\right)^{\mathrm{2}} \\ $$$$ \\ $$

Question Number 185523 Answers: 0 Comments: 0

Question Number 185522 Answers: 0 Comments: 1

Question Number 185521 Answers: 1 Comments: 1

Question Number 185518 Answers: 0 Comments: 1

Find the radius of convergence of Σ_(n=1) ^∞ ne^(−n^2 ) M.m

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{convergence}\:\mathrm{of} \\ $$$$\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}\mathrm{ne}^{−\mathrm{n}^{\mathrm{2}} } \\ $$$$ \\ $$$$\mathrm{M}.\mathrm{m} \\ $$

Question Number 185517 Answers: 1 Comments: 0

Question Number 185515 Answers: 1 Comments: 0

At a party with “m” people, a lady dances with p gentlemen, the second with p + 1, the third one with p + 2, and so on until the last one dances with all the gentlemen, find the number of ladies who attended the party in terms of “m”and “p”.

$$\:{At}\:{a}\:{party}\:{with}\:``{m}''\:{people},\:{a}\:{lady}\:{dances} \\ $$$$\:{with}\:{p}\:{gentlemen},\:{the}\:{second}\:{with}\:{p}\:+\:\mathrm{1},\: \\ $$$$\:{the}\:{third}\:{one}\:{with}\:{p}\:+\:\mathrm{2},\:{and}\:{so}\:{on}\:{until}\:{the} \\ $$$$\:{last}\:{one}\:{dances}\:{with}\:{all}\:{the}\:{gentlemen},\: \\ $$$$\:{find}\:{the}\:{number}\:{of}\:{ladies}\:{who}\:{attended}\:{the} \\ $$$$\:{party}\:{in}\:{terms}\:{of}\:``{m}''{and}\:``{p}''. \\ $$

Question Number 185511 Answers: 1 Comments: 0