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Question Number 175923    Answers: 1   Comments: 0

what are the differences among “ if ”, “ only if ” and “ if and only if ”?

$$\mathrm{what}\:\mathrm{are}\:\mathrm{the}\:\mathrm{differences}\:\mathrm{among}\:``\:{if}\:'',\:``\:{only}\:\:{if}\:''\:\mathrm{and}\:``\:{if}\:\:{and}\:\:{only}\:\:{if}\:''? \\ $$

Question Number 175017    Answers: 0   Comments: 2

Question Number 171829    Answers: 1   Comments: 0

please i need cubic formula

$${please}\:{i}\:{need}\:{cubic}\:{formula} \\ $$$$ \\ $$

Question Number 168534    Answers: 1   Comments: 0

determinant ((a,b,c,v_o ),(0,0,0,1),(0,0,1,1),(0,1,0,1),(0,1,1,0),(1,0,0,0),(1,0,1,0),(1,1,0,0),(1,1,1,0)) what is the logic gate type of this truth table??

$$\begin{array}{|c|c|c|c|c|c|c|c|c|}{{a}}&\hline{{b}}&\hline{{c}}&\hline{{v}_{{o}} }\\{\mathrm{0}}&\hline{\mathrm{0}}&\hline{\mathrm{0}}&\hline{\mathrm{1}}\\{\mathrm{0}}&\hline{\mathrm{0}}&\hline{\mathrm{1}}&\hline{\mathrm{1}}\\{\mathrm{0}}&\hline{\mathrm{1}}&\hline{\mathrm{0}}&\hline{\mathrm{1}}\\{\mathrm{0}}&\hline{\mathrm{1}}&\hline{\mathrm{1}}&\hline{\mathrm{0}}\\{\mathrm{1}}&\hline{\mathrm{0}}&\hline{\mathrm{0}}&\hline{\mathrm{0}}\\{\mathrm{1}}&\hline{\mathrm{0}}&\hline{\mathrm{1}}&\hline{\mathrm{0}}\\{\mathrm{1}}&\hline{\mathrm{1}}&\hline{\mathrm{0}}&\hline{\mathrm{0}}\\{\mathrm{1}}&\hline{\mathrm{1}}&\hline{\mathrm{1}}&\hline{\mathrm{0}}\\\hline\end{array} \\ $$$${what}\:{is}\:{the}\:{logic}\:{gate}\:{type}\:{of}\:{this}\:{truth} \\ $$$${table}?? \\ $$

Question Number 167976    Answers: 0   Comments: 0

Question Number 166982    Answers: 1   Comments: 3

hi! help me! lim_(x→∞) ∫_0 ^∞ e^2 c(√x)∫_0 ^∞ =?

$$\mathrm{hi}! \\ $$$$\mathrm{help}\:\mathrm{me}! \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\int_{\mathrm{0}} ^{\infty} \mathrm{e}^{\mathrm{2}} \mathrm{c}\sqrt{{x}}\int_{\mathrm{0}} ^{\infty} =? \\ $$

Question Number 164118    Answers: 1   Comments: 0

What is Mathematical Calculus and Mathematical fhysics, Then what is the difference and how to explain?? ^([Zaynal])

$$\boldsymbol{{What}}\:\boldsymbol{{is}} \\ $$$$\:\boldsymbol{{Mathematical}}\:\boldsymbol{{Calculus}}\:\boldsymbol{{and}} \\ $$$$\boldsymbol{{Mathematical}}\:\boldsymbol{{fhysics}}, \\ $$$$\boldsymbol{{Then}}\:\boldsymbol{{what}}\:\boldsymbol{{is}}\:\boldsymbol{{the}}\:\boldsymbol{{difference}}\:\boldsymbol{{and}} \\ $$$$\boldsymbol{{how}}\:\boldsymbol{{to}}\:\boldsymbol{{explain}}?? \\ $$$$\:^{\left[\mathrm{Zaynal}\right]} \\ $$

Question Number 163913    Answers: 0   Comments: 0

Question Number 159645    Answers: 0   Comments: 0

Question Number 157887    Answers: 1   Comments: 2

Question Number 155988    Answers: 2   Comments: 0

2^2^

$$\mathrm{2}^{\overset{} {\mathrm{2}}} \\ $$

Question Number 154194    Answers: 0   Comments: 1

Question Number 151777    Answers: 0   Comments: 0

Le dernier jour d′un certain mois au cours de la premiere guerre mondiale, une bombe tombe sur la tombe d′un hallebardier. Sachant que 1.872.269 est le produit de : A−du jour du mois ou est tombee la bombe par B−la taille de la hallebarde en pieds (1 pied = 30 cm) par C−l′age du hallebardier au moment de sa mort par D −la difference entre l′annee ou est tombee la bombe et l′annee du deces du hallebardier. Pourriez−vous donner dans l′ordre : 1−la date exacte de la chute de la bombe. 2−la taille de la hallebarde en pieds. 3−l′annee de naissance, de deces et l′age du hallebardier au moment de sa mort ainsi que les eventuelles circonstances de sa mort.

$$\mathrm{Le}\:\mathrm{dernier}\:\mathrm{jour}\:\mathrm{d}'\mathrm{un}\:\mathrm{certain}\:\mathrm{mois}\:\mathrm{au}\: \\ $$$$\mathrm{cours}\:\mathrm{de}\:\mathrm{la}\:\mathrm{premiere}\:\mathrm{guerre}\:\mathrm{mondiale}, \\ $$$$\mathrm{une}\:\mathrm{bombe}\:\mathrm{tombe}\:\mathrm{sur}\:\mathrm{la}\:\mathrm{tombe}\:\mathrm{d}'\mathrm{un} \\ $$$$\mathrm{hallebardier}. \\ $$$$ \\ $$$$\mathrm{Sachant}\:\mathrm{que}\:\mathrm{1}.\mathrm{872}.\mathrm{269}\:\mathrm{est}\:\mathrm{le}\:\mathrm{produit} \\ $$$$\mathrm{de}\:: \\ $$$$ \\ $$$$\mathrm{A}−\mathrm{du}\:\mathrm{jour}\:\mathrm{du}\:\mathrm{mois}\:\mathrm{ou}\:\mathrm{est}\:\mathrm{tombee}\:\mathrm{la} \\ $$$$\mathrm{bombe}\:\mathrm{par} \\ $$$$\mathrm{B}−\mathrm{la}\:\mathrm{taille}\:\mathrm{de}\:\mathrm{la}\:\mathrm{hallebarde}\:\mathrm{en}\:\mathrm{pieds} \\ $$$$\left(\mathrm{1}\:\mathrm{pied}\:=\:\mathrm{30}\:\mathrm{cm}\right)\:\mathrm{par} \\ $$$$\mathrm{C}−\mathrm{l}'\mathrm{age}\:\mathrm{du}\:\mathrm{hallebardier}\:\mathrm{au}\:\mathrm{moment} \\ $$$$\mathrm{de}\:\mathrm{sa}\:\mathrm{mort}\:\mathrm{par} \\ $$$$\mathrm{D}\:−\mathrm{la}\:\mathrm{difference}\:\mathrm{entre}\:\mathrm{l}'\mathrm{annee}\:\mathrm{ou}\:\mathrm{est} \\ $$$$\mathrm{tombee}\:\mathrm{la}\:\mathrm{bombe}\:\mathrm{et}\:\mathrm{l}'\mathrm{annee}\:\mathrm{du}\:\mathrm{deces} \\ $$$$\mathrm{du}\:\mathrm{hallebardier}. \\ $$$$ \\ $$$$\mathrm{Pourriez}−\mathrm{vous}\:\mathrm{donner}\:\mathrm{dans}\:\mathrm{l}'\mathrm{ordre}\:: \\ $$$$ \\ $$$$\mathrm{1}−\mathrm{la}\:\mathrm{date}\:\mathrm{exacte}\:\mathrm{de}\:\mathrm{la}\:\mathrm{chute}\:\mathrm{de}\:\mathrm{la} \\ $$$$\mathrm{bombe}. \\ $$$$\mathrm{2}−\mathrm{la}\:\mathrm{taille}\:\mathrm{de}\:\mathrm{la}\:\mathrm{hallebarde}\:\mathrm{en}\:\mathrm{pieds}. \\ $$$$\mathrm{3}−\mathrm{l}'\mathrm{annee}\:\mathrm{de}\:\mathrm{naissance},\:\mathrm{de}\:\mathrm{deces}\:\mathrm{et} \\ $$$$\mathrm{l}'\mathrm{age}\:\mathrm{du}\:\mathrm{hallebardier}\:\mathrm{au}\:\mathrm{moment}\:\mathrm{de}\:\mathrm{sa} \\ $$$$\mathrm{mort}\:\mathrm{ainsi}\:\mathrm{que}\:\mathrm{les}\:\mathrm{eventuelles} \\ $$$$\mathrm{circonstances}\:\mathrm{de}\:\mathrm{sa}\:\mathrm{mort}. \\ $$

Question Number 145282    Answers: 1   Comments: 0

Question Number 144479    Answers: 0   Comments: 0

Consider the followinge statments P: All students with measles stay in the sick bay. T: All students in the sick bay do not do homework. Which of the following is/are valid deductions from the two statements a) Kofi does not have measles so Kofi does his homework. b)George has done his homework therefore he does not stay in the sick bay c) Jane does not have measles so she does not stay in the sick bay

$$ \\ $$$$\mathrm{Consider}\:\mathrm{the}\:\mathrm{followinge} \\ $$$$\mathrm{statments} \\ $$$$\mathrm{P}:\:\mathrm{All}\:\mathrm{students}\:\mathrm{with}\:\mathrm{measles} \\ $$$$\:\mathrm{stay}\:\mathrm{in}\:\mathrm{the}\:\mathrm{sick}\:\mathrm{bay}. \\ $$$$\mathrm{T}:\:\mathrm{All}\:\mathrm{students}\:\mathrm{in}\:\mathrm{the}\:\mathrm{sick} \\ $$$$\:\mathrm{bay}\:\mathrm{do}\:\mathrm{not}\:\mathrm{do}\:\mathrm{homework}. \\ $$$$\mathrm{Which}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following} \\ $$$$\:\mathrm{is}/\mathrm{are}\:\mathrm{valid}\:\mathrm{deductions} \\ $$$$\:\mathrm{from}\:\mathrm{the}\:\mathrm{two}\:\mathrm{statements} \\ $$$$\left.\mathrm{a}\right)\:\mathrm{Kofi}\:\mathrm{does}\:\mathrm{not}\:\mathrm{have}\: \\ $$$$\mathrm{measles}\:\mathrm{so}\:\mathrm{Kofi}\:\mathrm{does}\:\mathrm{his} \\ $$$$\:\mathrm{homework}. \\ $$$$\left.\mathrm{b}\right)\mathrm{George}\:\mathrm{has}\:\mathrm{done}\:\mathrm{his}\: \\ $$$$\mathrm{homework}\:\mathrm{therefore}\:\mathrm{he} \\ $$$$\mathrm{does}\:\mathrm{not}\:\mathrm{stay}\:\mathrm{in}\:\mathrm{the}\:\mathrm{sick}\:\mathrm{bay} \\ $$$$\left.\:\mathrm{c}\right)\:\mathrm{Jane}\:\mathrm{does}\:\mathrm{not}\:\mathrm{have} \\ $$$$\mathrm{measles}\:\mathrm{so}\:\mathrm{she}\:\mathrm{does}\:\mathrm{not}\: \\ $$$$\mathrm{stay}\:\mathrm{in}\:\mathrm{the}\:\mathrm{sick}\:\mathrm{bay} \\ $$

Question Number 141087    Answers: 2   Comments: 0

hi, masters ! look at this thing carefully : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ................. find the line and the column where the number 795471 will appear !

$$\boldsymbol{\mathrm{hi}},\:\boldsymbol{\mathrm{masters}}\:! \\ $$$$\boldsymbol{\mathrm{look}}\:\boldsymbol{\mathrm{at}}\:\boldsymbol{\mathrm{this}}\:\boldsymbol{\mathrm{thing}}\:\boldsymbol{\mathrm{carefully}}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{1} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}\:\mathrm{3}\:\mathrm{4} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{5}\:\mathrm{6}\:\mathrm{7}\:\mathrm{8}\:\mathrm{9} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{10}\:\mathrm{11}\:\mathrm{12}\:\mathrm{13}\:\mathrm{14}\:\mathrm{15}\:\mathrm{16} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{17}\:\mathrm{18}\:\mathrm{19}\:\mathrm{20}\:................. \\ $$$$\:\:\:\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{line}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{column}}\:\boldsymbol{\mathrm{where}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{number}}\:\mathrm{795471}\:\boldsymbol{\mathrm{will}}\:\boldsymbol{\mathrm{appear}}\:! \\ $$

Question Number 137690    Answers: 0   Comments: 0

Question Number 136697    Answers: 0   Comments: 1

Question Number 136446    Answers: 0   Comments: 0

Question Number 135348    Answers: 0   Comments: 0

An online trading company wants to offer discounts to customers. The company has recently emailed the discount codes to customers. New customers must have the code to be eligible but returning customers are not eligible for the discount. Let A − Returning Customer B − Discount Code (a) Draw a truth table to represent vwhen a customer has a discout (b) From your table in (a), produce a Boolean expression to represent discounted customer (Q) for the trading company.

$$\mathrm{An}\:\mathrm{online}\:\mathrm{trading}\:\mathrm{company}\:\mathrm{wants}\:\mathrm{to} \\ $$$$\mathrm{offer}\:\mathrm{discounts}\:\mathrm{to}\:\mathrm{customers}.\:\mathrm{The}\: \\ $$$$\mathrm{company}\:\mathrm{has}\:\mathrm{recently}\:\mathrm{emailed}\:\mathrm{the} \\ $$$$\mathrm{discount}\:\mathrm{codes}\:\mathrm{to}\:\mathrm{customers}.\:\mathrm{New}\: \\ $$$$\mathrm{customers}\:\mathrm{must}\:\mathrm{have}\:\mathrm{the}\:\mathrm{code}\:\mathrm{to}\:\mathrm{be}\: \\ $$$$\mathrm{eligible}\:\mathrm{but}\:\mathrm{returning}\:\mathrm{customers}\:\mathrm{are} \\ $$$$\mathrm{not}\:\mathrm{eligible}\:\mathrm{for}\:\mathrm{the}\:\mathrm{discount}. \\ $$$$\:\:\:\:\:\:{Let}\:\:\:{A}\:−\:{Returning}\:{Customer} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{B}\:−\:\:{Discount}\:{Code} \\ $$$$\left({a}\right)\:\mathrm{Draw}\:\mathrm{a}\:\mathrm{truth}\:\mathrm{table}\:\mathrm{to}\:\mathrm{represent} \\ $$$$\:\:\:\:\:\:\:\:\mathrm{vwhen}\:\mathrm{a}\:\mathrm{customer}\:\mathrm{has}\:\mathrm{a}\:\mathrm{discout} \\ $$$$\left({b}\right)\:\mathrm{From}\:\mathrm{your}\:\mathrm{table}\:\mathrm{in}\:\left({a}\right),\:\mathrm{produce}\:\mathrm{a} \\ $$$$\:\:\:\:\:\:\:\mathrm{Boolean}\:\mathrm{expression}\:\mathrm{to}\:\mathrm{represent} \\ $$$$\:\:\:\:\:\:\:\mathrm{discounted}\:\mathrm{customer}\:\left({Q}\right)\:\mathrm{for}\:\mathrm{the} \\ $$$$\:\:\:\:\:\:\:\mathrm{trading}\:\mathrm{company}. \\ $$

Question Number 134948    Answers: 1   Comments: 2

Question Number 134689    Answers: 1   Comments: 0

((2^(289) +1)/(2^(17) +1)) = 2^a_1 + 2^a_2 + 2^a_3 + ... + 2^a_k Find the value of k.

$$\:\frac{\mathrm{2}^{\mathrm{289}} +\mathrm{1}}{\mathrm{2}^{\mathrm{17}} +\mathrm{1}}\:=\:\mathrm{2}^{{a}_{\mathrm{1}} } \:+\:\mathrm{2}^{{a}_{\mathrm{2}} } \:+\:\mathrm{2}^{{a}_{\mathrm{3}} } \:+\:...\:+\:\mathrm{2}^{{a}_{{k}} } \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{k}. \\ $$

Question Number 132251    Answers: 0   Comments: 0

Question Number 130939    Answers: 1   Comments: 1

belwo synonymus solve a_1 =((4n+3)/(2n−1)) and a_(10) =((6n+5)/(2n−4)) a_(30) =? pleas slove this

$${belwo}\:\:{synonymus}\:{solve} \\ $$$${a}_{\mathrm{1}} =\frac{\mathrm{4}{n}+\mathrm{3}}{\mathrm{2}{n}−\mathrm{1}}\:\:\:\:\:\:\:{and}\:\:{a}_{\mathrm{10}} =\frac{\mathrm{6}{n}+\mathrm{5}}{\mathrm{2}{n}−\mathrm{4}} \\ $$$${a}_{\mathrm{30}} =? \\ $$$${pleas}\:{slove}\:{this} \\ $$

Question Number 130782    Answers: 1   Comments: 3

u_(n+1) = u_n +2u_(n−1) +2u_0 u_0 =1 ⇒u_n =?

$${u}_{{n}+\mathrm{1}} \:=\:{u}_{{n}} \:+\mathrm{2}{u}_{{n}−\mathrm{1}} \:+\mathrm{2}{u}_{\mathrm{0}} \: \\ $$$${u}_{\mathrm{0}} =\mathrm{1}\:\Rightarrow{u}_{{n}} =? \\ $$

Question Number 127890    Answers: 0   Comments: 0

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