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AllQuestion and Answers: Page 1608

Question Number 48711 Answers: 1 Comments: 1

Question Number 48703 Answers: 1 Comments: 0

Question Number 48687 Answers: 0 Comments: 0

f(x)=sin (x) f(x)+f′((1/x))=(1/2)(√2) find x?

$${f}\left({x}\right)=\mathrm{sin}\:\left({x}\right) \\ $$$${f}\left({x}\right)+{f}'\left(\frac{\mathrm{1}}{{x}}\right)=\frac{\mathrm{1}}{\mathrm{2}}\sqrt{\mathrm{2}} \\ $$$$\mathrm{find}\:{x}? \\ $$

Question Number 48705 Answers: 3 Comments: 2

Q.1→ Coefficient of a^8 b^4 c^9 d^9 in expansion of (abc+abd+acd+bcd)^(10) =? Q.2→ Coefficient of (1/x) in expansion of (1+x)^n (1+(1/x))^n =? Q.3→ If x^m occurs in expansion of (x+(1/x^2 ))^(2n) , then its coefficient=?

$${Q}.\mathrm{1}\rightarrow \\ $$$${Coefficient}\:{of}\:{a}^{\mathrm{8}} {b}^{\mathrm{4}} {c}^{\mathrm{9}} {d}^{\mathrm{9}} \:{in}\:{expansion} \\ $$$${of}\:\left({abc}+{abd}+{acd}+{bcd}\right)^{\mathrm{10}} \:=? \\ $$$$ \\ $$$${Q}.\mathrm{2}\rightarrow \\ $$$${Coefficient}\:{of}\:\frac{\mathrm{1}}{{x}}\:{in}\:{expansion}\:{of} \\ $$$$\left(\mathrm{1}+{x}\right)^{{n}} \left(\mathrm{1}+\frac{\mathrm{1}}{{x}}\right)^{{n}} =? \\ $$$$ \\ $$$${Q}.\mathrm{3}\rightarrow \\ $$$${If}\:{x}^{{m}} \:{occurs}\:{in}\:{expansion}\:{of}\: \\ $$$$\left({x}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)^{\mathrm{2}{n}} ,\:{then}\:{its}\:{coefficient}=? \\ $$

Question Number 48678 Answers: 0 Comments: 0

Question Number 48677 Answers: 1 Comments: 0

Question Number 48676 Answers: 1 Comments: 0

Question Number 48675 Answers: 2 Comments: 0

Find remainder when 27^(40) is divided by 12 ?

$${Find}\:{remainder}\:{when}\:\mathrm{27}^{\mathrm{40}} \:{is}\:{divided} \\ $$$${by}\:\mathrm{12}\:? \\ $$

Question Number 48668 Answers: 1 Comments: 3

let f(x)=(e^(−2x) /(x+1)) 1) calculate f^((n)) (x) and f^((n)) (0) . 2) develop f at integr serie .

$${let}\:{f}\left({x}\right)=\frac{{e}^{−\mathrm{2}{x}} }{{x}+\mathrm{1}} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}^{\left({n}\right)} \left({x}\right)\:{and}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right)\:. \\ $$$$\left.\mathrm{2}\right)\:{develop}\:{f}\:{at}\:{integr}\:{serie}\:. \\ $$

Question Number 48667 Answers: 1 Comments: 1

find ∫_0 ^1 ((arctan(x))/(√(1+x^2 ))) dx .

$${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{arctan}\left({x}\right)}{\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}\:{dx}\:. \\ $$

Question Number 48664 Answers: 0 Comments: 3

A travels in a desert, reaches an oasis and rests. Then B comes in, followed by C. After a while they discuss, what to lunch on; B opens a lunch box with 5 chapatis, C had got 3 chapatis. A had got nothing. They lunched together sharing equally. Then A says he got to move on, and gave B 8 bucks, asking him to share it with C, and he leaves. B kept 5 bucks and gave C 3 bucks. C did not agree and was asking to share it equally. B denied. They reach a village where they put forth their issue where the judicial head gives a judgement quite surprising to both B and C. What should that be?

$${A}\:{travels}\:{in}\:{a}\:{desert},\:{reaches}\:{an} \\ $$$${oasis}\:{and}\:{rests}.\:{Then}\:{B}\:{comes}\:{in}, \\ $$$${followed}\:{by}\:{C}.\:{After}\:{a}\:{while}\:{they} \\ $$$${discuss},\:{what}\:{to}\:{lunch}\:{on};\: \\ $$$${B}\:{opens}\:{a}\:{lunch}\:{box}\:{with}\:\mathrm{5}\:{chapatis}, \\ $$$${C}\:{had}\:{got}\:\mathrm{3}\:{chapatis}.\:{A}\:{had}\:{got} \\ $$$${nothing}.\:{They}\:{lunched}\:{together} \\ $$$${sharing}\:{equally}.\:{Then}\:{A}\:{says}\:{he} \\ $$$${got}\:{to}\:{move}\:{on},\:{and}\:{gave}\:{B}\: \\ $$$$\mathrm{8}\:{bucks},\:{asking}\:{him}\:{to}\:{share}\:{it} \\ $$$${with}\:{C},\:{and}\:{he}\:{leaves}. \\ $$$${B}\:{kept}\:\mathrm{5}\:{bucks}\:{and}\:{gave}\:{C}\:\:\mathrm{3}\:{bucks}. \\ $$$${C}\:{did}\:{not}\:{agree}\:{and}\:{was}\:{asking} \\ $$$${to}\:{share}\:{it}\:{equally}.\:{B}\:{denied}.\:{They} \\ $$$${reach}\:{a}\:{village}\:{where}\:{they}\:{put}\:{forth} \\ $$$${their}\:{issue}\:{where}\:{the}\:{judicial}\:{head} \\ $$$${gives}\:{a}\:{judgement}\:{quite}\:{surprising} \\ $$$${to}\:{both}\:{B}\:{and}\:{C}. \\ $$$${What}\:{should}\:{that}\:{be}? \\ $$

Question Number 48659 Answers: 1 Comments: 0

Find x 3sec[2(x+(π/6))]= 4

$$\mathrm{Find}\:\mathrm{x} \\ $$$$\mathrm{3sec}\left[\mathrm{2}\left(\mathrm{x}+\frac{\pi}{\mathrm{6}}\right)\right]=\:\mathrm{4} \\ $$

Question Number 48656 Answers: 0 Comments: 3

Question Number 48653 Answers: 1 Comments: 1

Question Number 48643 Answers: 1 Comments: 2

Question Number 48638 Answers: 1 Comments: 4

Question Number 48616 Answers: 0 Comments: 1

find four numbers such that the sum of every two and the sum of all four should be perfect squaresk

$${find}\:{four}\:{numbers}\:{such}\:{that}\:{the}\:{sum}\:{of}\:{every}\:{two}\:{and}\:{the}\:{sum}\:{of}\:{all}\:{four}\:{should}\:{be}\:{perfect}\:{squaresk}\: \\ $$

Question Number 48611 Answers: 1 Comments: 0

Question Number 48610 Answers: 0 Comments: 0

Question Number 48585 Answers: 0 Comments: 1

Who knows how to define a differential equation geometrically? I want to learn plz

$${Who}\:{knows}\:{how}\:{to}\:{define}\:{a}\: \\ $$$${differential}\:{equation}\:{geometrically}? \\ $$$${I}\:{want}\:{to}\:{learn}\:{plz} \\ $$

Question Number 48581 Answers: 1 Comments: 0

f(x)=[tan( π/4+x)^(1/x) ] =k is conntinous at x=0 then k=?

$${f}\left({x}\right)=\left[\mathrm{tan}\left(\:\pi/\mathrm{4}+{x}\right)^{\mathrm{1}/{x}} \right] \\ $$$$\:\:\:\:\:\:\:\:\:=\mathrm{k} \\ $$$${is}\:{con}\mathrm{ntinous}\:\mathrm{at}\:\mathrm{x}=\mathrm{0}\:\mathrm{then}\:\mathrm{k}=? \\ $$

Question Number 48567 Answers: 0 Comments: 1

Question Number 48560 Answers: 1 Comments: 1

Question Number 48559 Answers: 3 Comments: 0

Question Number 48553 Answers: 1 Comments: 2

In a hospital unit,there are 8 nurses and 5 physicians. 7 of them are female nurses and 3 of them are male physicians. what is the the probability of selecting a staff who is Nurse or Male? plzz help

$$\mathrm{In}\:\mathrm{a}\:\mathrm{hospital}\:\mathrm{unit},\mathrm{there}\:\mathrm{are}\:\mathrm{8}\:\mathrm{nurses} \\ $$$$\mathrm{and}\:\mathrm{5}\:\mathrm{physicians}.\:\mathrm{7}\:\mathrm{of}\:\mathrm{them}\:\mathrm{are} \\ $$$$\mathrm{female}\:\mathrm{nurses}\:\mathrm{and}\:\mathrm{3}\:\mathrm{of}\:\mathrm{them}\:\mathrm{are} \\ $$$$\mathrm{male}\:\mathrm{physicians}. \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{of} \\ $$$$\mathrm{selecting}\:\mathrm{a}\:\mathrm{staff}\:\mathrm{who}\:\mathrm{is}\:\mathrm{Nurse}\:\mathrm{or} \\ $$$$\mathrm{Male}? \\ $$$$\mathrm{plzz}\:\mathrm{help} \\ $$$$ \\ $$$$ \\ $$

Question Number 48543 Answers: 2 Comments: 0

The number of times the digit 3 will be written when listing the integers from 1 to 1000 is

$$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{times}\:\mathrm{the}\:\mathrm{digit}\:\mathrm{3}\:\mathrm{will} \\ $$$$\mathrm{be}\:\mathrm{written}\:\mathrm{when}\:\mathrm{listing}\:\mathrm{the}\:\mathrm{integers} \\ $$$$\mathrm{from}\:\mathrm{1}\:\mathrm{to}\:\mathrm{1000}\:\mathrm{is} \\ $$

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