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Question Number 200321 Answers: 5 Comments: 0

for x,y,z ∈N, if 38x+40y+41z=520 find x+y+z=?

$${for}\:{x},{y},{z}\:\in{N},\:{if} \\ $$$$\mathrm{38}{x}+\mathrm{40}{y}+\mathrm{41}{z}=\mathrm{520} \\ $$$${find}\:{x}+{y}+{z}=? \\ $$

Question Number 200319 Answers: 4 Comments: 0

Question Number 200318 Answers: 2 Comments: 0

Question Number 200315 Answers: 0 Comments: 3

{ (( ab ^(−) ∙ b ^(−) + ba ^(−) ∙ a ^(−) = cde ^(−) )),(( ab ^(−) ∙ b ^(−) − ba ^(−) ∙ a ^(−) = f ^(−) )) :} a,b,c,d,e,f are all different and in some order consecutive also. Determine the remaining decimal digits.

$$\:\begin{cases}{\overline {\:{ab}\:}\centerdot\overline {\:{b}\:}+\overline {\:{ba}\:}\centerdot\overline {\:{a}\:}=\overline {\:{cde}\:}}\\{\overline {\:{ab}\:}\centerdot\overline {\:{b}\:}−\overline {\:{ba}\:}\centerdot\overline {\:{a}\:}=\overline {\:{f}\:}\:}\end{cases} \\ $$$${a},{b},{c},{d},{e},{f}\:{are}\:{all}\:{different}\:{and}\:{in} \\ $$$${some}\:{order}\:{consecutive}\:{also}. \\ $$$$\: \\ $$$$\mathcal{D}{etermine}\:{the}\:{remaining}\:{decimal} \\ $$$${digits}. \\ $$

Question Number 200275 Answers: 1 Comments: 0

Question Number 200270 Answers: 0 Comments: 2

Question Number 200268 Answers: 1 Comments: 0

Question Number 200265 Answers: 1 Comments: 0

Question Number 200262 Answers: 2 Comments: 0

Question Number 200257 Answers: 1 Comments: 0

Question Number 200256 Answers: 0 Comments: 0

Question Number 200254 Answers: 1 Comments: 0

calculate ... Ω = ∫_(∫_0 ^( (π/2)) ln(tan(x))dx) ^( ∫_0 ^( ∞) ((sin^2 (x))/x^2 ) dx) ln(sin(x))dx=?

$$ \\ $$$$\:\:\:\:\:\:{calculate}\:... \\ $$$$\:\:\Omega\:=\:\int_{\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \:\mathrm{ln}\left(\mathrm{tan}\left({x}\right)\right){dx}} ^{\:\int_{\mathrm{0}} ^{\:\infty} \:\frac{\mathrm{sin}^{\mathrm{2}} \left({x}\right)}{{x}^{\mathrm{2}} }\:{dx}} \mathrm{ln}\left(\mathrm{sin}\left({x}\right)\right){dx}=? \\ $$

Question Number 200253 Answers: 2 Comments: 0

Question Number 200251 Answers: 1 Comments: 0

Question Number 200250 Answers: 2 Comments: 0

Question Number 200249 Answers: 1 Comments: 1

Solve: find the distance of the point P(3,4) from the line y=−2x+3

$$\boldsymbol{{Solve}}:\:\:\boldsymbol{{find}}\:\boldsymbol{{the}}\:\boldsymbol{{distance}}\:\boldsymbol{{of}}\:\boldsymbol{{the}}\:\boldsymbol{{point}}\:\boldsymbol{{P}}\left(\mathrm{3},\mathrm{4}\right)\:\boldsymbol{{from}}\:\boldsymbol{{the}}\:\boldsymbol{{line}}\:\boldsymbol{{y}}=−\mathrm{2}\boldsymbol{{x}}+\mathrm{3} \\ $$

Question Number 200242 Answers: 3 Comments: 0

Question Number 200236 Answers: 1 Comments: 0

what is the smallest natural number which has at least 100 divisors?

$${what}\:{is}\:{the}\:{smallest}\:{natural}\:{number} \\ $$$${which}\:{has}\:{at}\:{least}\:\mathrm{100}\:{divisors}? \\ $$

Question Number 200224 Answers: 3 Comments: 0

Question Number 200205 Answers: 0 Comments: 1

Question Number 200204 Answers: 1 Comments: 7

Question Number 200240 Answers: 0 Comments: 0

the local minimum value of the function f(x,y) = x^2 +xy+y^2 −3x−3y+11

$$\mathrm{the}\:\mathrm{local}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{function} \\ $$$${f}\left({x},{y}\right)\:=\:{x}^{\mathrm{2}} +{xy}+{y}^{\mathrm{2}} −\mathrm{3}{x}−\mathrm{3}{y}+\mathrm{11} \\ $$

Question Number 200200 Answers: 1 Comments: 0

Find four positive integers, each not exceeding 70000 and each having more than 100 divisors.

$${Find}\:{four}\:{positive}\:{integers}, \\ $$$$\:{each}\:{not}\:{exceeding}\:\mathrm{70000}\:{and}\: \\ $$$${each}\:{having}\:{more}\:{than}\:\mathrm{100} \\ $$$$\:{divisors}. \\ $$

Question Number 200196 Answers: 2 Comments: 3

the minimum of (x+y+z)?

$$\mathrm{the}\:\mathrm{minimum}\:\mathrm{of}\:\left(\mathrm{x}+\mathrm{y}+\mathrm{z}\right)? \\ $$

Question Number 200187 Answers: 2 Comments: 0

Question Number 200186 Answers: 2 Comments: 0

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