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Question Number 57992 Answers: 1 Comments: 0

Question Number 57991 Answers: 0 Comments: 0

Question Number 57988 Answers: 0 Comments: 5

list all subset of {2,4,6,7,8}

$${list}\:{all}\:{subset}\:{of}\: \\ $$$$\left\{\mathrm{2},\mathrm{4},\mathrm{6},\mathrm{7},\mathrm{8}\right\} \\ $$

Question Number 57985 Answers: 2 Comments: 0

Find the number of integer solutions for a×b×c×d=18900 with a,b,c,d≥1.

$${Find}\:{the}\:{number}\:{of}\:{integer}\:{solutions} \\ $$$${for}\:{a}×{b}×{c}×{d}=\mathrm{18900} \\ $$$${with}\:{a},{b},{c},{d}\geqslant\mathrm{1}. \\ $$

Question Number 57984 Answers: 0 Comments: 0

Question Number 58045 Answers: 1 Comments: 0

(x+1)^4 <5x^3 +21x^2 +17x+61 find the root x?

$$\left(\boldsymbol{\mathrm{x}}+\mathrm{1}\right)^{\mathrm{4}} <\mathrm{5}\boldsymbol{\mathrm{x}}^{\mathrm{3}} +\mathrm{21}\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{17}\boldsymbol{\mathrm{x}}+\mathrm{61} \\ $$$$\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{root}}\:\:\:\boldsymbol{\mathrm{x}}? \\ $$

Question Number 57977 Answers: 0 Comments: 0

2[(4×5)−(4×3)]=2×[20−(4×3)]=2×[(20−12)]=2×8=16

$$\mathrm{2}\left[\left(\mathrm{4}×\mathrm{5}\right)−\left(\mathrm{4}×\mathrm{3}\right)\right]=\mathrm{2}×\left[\mathrm{20}−\left(\mathrm{4}×\mathrm{3}\right)\right]=\mathrm{2}×\left[\left(\mathrm{20}−\mathrm{12}\right)\right]=\mathrm{2}×\mathrm{8}=\mathrm{16} \\ $$

Question Number 57960 Answers: 1 Comments: 0

Find maximum n such that 12^n divides 100!.

$${Find}\:{maximum}\:{n}\:{such}\:{that}\:\mathrm{12}^{{n}} \:{divides} \\ $$$$\mathrm{100}!. \\ $$

Question Number 57959 Answers: 1 Comments: 0

Question Number 57958 Answers: 1 Comments: 0

Question Number 57957 Answers: 0 Comments: 2

Question Number 57955 Answers: 1 Comments: 1

Question Number 57953 Answers: 0 Comments: 0

It is requested to all who post question...pls 1)post physics question with diagram. 2)pls post geometry/co ordinate geometry queztions with diagram as mentioned in source. 3)pls post question in details as mentioned in the source. 4)pls post question along with the answer not in details but the answer only.

$${It}\:{is}\:{requested}\:{to}\:{all}\:{who}\:{post}\:{question}...{pls} \\ $$$$ \\ $$$$\left.\mathrm{1}\right){post}\:{physics}\:{question}\:{with}\:{diagram}. \\ $$$$\left.\mathrm{2}\right){pls}\:{post}\:{geometry}/{co}\:{ordinate}\:{geometry}\:{queztions} \\ $$$${with}\:{diagram}\:{as}\:{mentioned}\:{in}\:{source}. \\ $$$$\left.\mathrm{3}\right){pls}\:{post}\:{question}\:{in}\:{details}\:{as}\:{mentioned} \\ $$$$\:{in}\:{the}\:{source}. \\ $$$$\left.\mathrm{4}\right){pls}\:{post}\:{question}\:{along}\:{with}\:{the}\:{answer}\:{not} \\ $$$${in}\:{details}\:{but}\:{the}\:{answer}\:{only}. \\ $$$$ \\ $$

Question Number 57952 Answers: 1 Comments: 0

An irregular 6 faced die is thrown and the expectation that in 10 throws it will give five even numbers is twice the expectation that it will give four even numbers.How many times in 15000 sets of 10 throws would you expect it to give one even number?

$${An}\:{irregular}\:\mathrm{6}\:{faced}\:{die}\:{is}\:{thrown}\:{and} \\ $$$${the}\:{expectation}\:{that}\:{in}\:\mathrm{10}\:{throws}\:{it}\:{will} \\ $$$${give}\:{five}\:{even}\:{numbers}\:{is}\:{twice}\:{the} \\ $$$${expectation}\:{that}\:{it}\:{will}\:{give}\:{four}\:{even} \\ $$$${numbers}.{How}\:{many}\:{times}\:{in}\:\mathrm{15000} \\ $$$${sets}\:{of}\:\mathrm{10}\:{throws}\:{would}\:{you}\:{expect}\:{it} \\ $$$${to}\:{give}\:{one}\:{even}\:{number}? \\ $$

Question Number 57949 Answers: 0 Comments: 0

(0,i,j) is orthonormal A and B are two points wich verify AB =3 find the locus of point M wich verify MA +MB =6

$$\left(\mathrm{0},{i},{j}\right)\:{is}\:{orthonormal}\:\:\:{A}\:{and}\:\:{B}\:{are}\:{two}\:{points}\:{wich}\:{verify}\:{AB}\:=\mathrm{3} \\ $$$${find}\:\:{the}\:{locus}\:{of}\:{point}\:{M}\:{wich}\:{verify}\:\:{MA}\:+{MB}\:=\mathrm{6}\: \\ $$

Question Number 57948 Answers: 0 Comments: 0

let A(ξ) =∫_ξ ^ξ^2 ((arctan(1+ξt)−(π/4))/((√(2+ξt))−(√(2−ξt)))) dt find lim_(ξ →0) A(ξ) .

$${let}\:{A}\left(\xi\right)\:=\int_{\xi} ^{\xi^{\mathrm{2}} } \:\:\:\:\frac{{arctan}\left(\mathrm{1}+\xi{t}\right)−\frac{\pi}{\mathrm{4}}}{\sqrt{\mathrm{2}+\xi{t}}−\sqrt{\mathrm{2}−\xi{t}}}\:{dt} \\ $$$${find}\:{lim}_{\xi\:\rightarrow\mathrm{0}} \:\:{A}\left(\xi\right)\:. \\ $$$$ \\ $$

Question Number 57947 Answers: 0 Comments: 0

let P(x)=(1+ix)^n −1−ni with x real and n integr natural 1) find the roots of P(x) 2) factorize P(x) inside C[x] 3) factorize P(x) inside R[x] 4) decompose the fraction F(x) =((P^((1)) (x))/(P(x))) inside C(x) P^((1)) is the derivative of P .

$${let}\:{P}\left({x}\right)=\left(\mathrm{1}+{ix}\right)^{{n}} −\mathrm{1}−{ni}\:\:\:\:{with}\:{x}\:{real}\:{and}\:{n}\:{integr}\:{natural} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{the}\:{roots}\:{of}\:{P}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{factorize}\:{P}\left({x}\right)\:{inside}\:{C}\left[{x}\right] \\ $$$$\left.\mathrm{3}\right)\:{factorize}\:{P}\left({x}\right)\:{inside}\:{R}\left[{x}\right] \\ $$$$\left.\mathrm{4}\right)\:{decompose}\:{the}\:{fraction}\:{F}\left({x}\right)\:=\frac{{P}^{\left(\mathrm{1}\right)} \left({x}\right)}{{P}\left({x}\right)}\:{inside}\:{C}\left({x}\right) \\ $$$${P}^{\left(\mathrm{1}\right)} \:{is}\:{the}\:{derivative}\:{of}\:{P}\:. \\ $$

Question Number 57946 Answers: 0 Comments: 0