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Question Number 71517    Answers: 1   Comments: 0

Question Number 71516    Answers: 1   Comments: 0

5y′′=(1+y′^2 )^(3/2) please solve the differtial equation

$$\mathrm{5y}''=\left(\mathrm{1}+\mathrm{y}'^{\mathrm{2}} \right)^{\frac{\mathrm{3}}{\mathrm{2}}} \\ $$$$\mathrm{please}\:\mathrm{solve}\:\mathrm{the}\:\mathrm{differtial}\:\mathrm{equation} \\ $$

Question Number 71508    Answers: 1   Comments: 2

montrer que:∀a,b∈R ona 2∣ab∣≤a^2 +b^2 Endeduire que ∀x_1 ,...,x_n ∈R on a: (Σ_(i=1) ^n ∣x_i ∣)^2 ≤nΣ_(i=1) ^n x_i ^2 please i need help

$$\mathrm{montrer}\:\mathrm{que}:\forall\mathrm{a},\mathrm{b}\in\mathbb{R}\:\mathrm{ona} \\ $$$$\mathrm{2}\mid\mathrm{ab}\mid\leqslant\mathrm{a}^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} \\ $$$$\mathrm{Endeduire}\:\mathrm{que}\:\forall\mathrm{x}_{\mathrm{1}} ,...,\mathrm{x}_{\mathrm{n}} \in\mathbb{R}\:\mathrm{on}\:\mathrm{a}: \\ $$$$\left(\underset{\mathrm{i}=\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\mid\mathrm{x}_{\mathrm{i}} \mid\right)^{\mathrm{2}} \leqslant\mathrm{n}\underset{\mathrm{i}=\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\mathrm{x}_{\mathrm{i}} ^{\mathrm{2}} \\ $$$$\:\:\:\:\:\boldsymbol{\mathrm{please}}\:\boldsymbol{\mathrm{i}}\:\boldsymbol{\mathrm{need}}\:\boldsymbol{\mathrm{help}} \\ $$

Question Number 71499    Answers: 1   Comments: 1

Question Number 71490    Answers: 2   Comments: 2

Question Number 71506    Answers: 1   Comments: 1

Question Number 71513    Answers: 0   Comments: 2

Question Number 71448    Answers: 0   Comments: 1

find the domain f(x)=(1/(sin(sin(x))))

$${find}\:{the}\:{domain} \\ $$$$ \\ $$$${f}\left({x}\right)=\frac{\mathrm{1}}{{sin}\left({sin}\left({x}\right)\right)} \\ $$

Question Number 71673    Answers: 1   Comments: 1

Question Number 71439    Answers: 1   Comments: 1

If a seller could purchase goods at an 8% lower price by keeping the selling price fixed, his profit over the cost price would increase from the current x% to (x+10)%. So, what is the value of x?

$${If}\:{a}\:{seller}\:{could}\:{purchase}\:{goods}\:{at}\:{an} \\ $$$$\mathrm{8\%}\:{lower}\:{price}\:{by}\:{keeping}\:{the}\:{selling} \\ $$$${price}\:{fixed},\:{his}\:{profit}\:{over}\:{the}\:{cost} \\ $$$${price}\:{would}\:{increase}\:{from}\:{the}\: \\ $$$${current}\:{x\%}\:{to}\:\left({x}+\mathrm{10}\right)\%.\:{So},\:{what}\:{is} \\ $$$${the}\:{value}\:{of}\:{x}? \\ $$

Question Number 71432    Answers: 0   Comments: 2

is 1(5/(3 )) an example of a mixed fraction

$${is}\:\mathrm{1}\frac{\mathrm{5}}{\mathrm{3}\:}\:{an}\:{example}\:{of}\:{a}\:{mixed}\:{fraction} \\ $$

Question Number 71423    Answers: 0   Comments: 7

Question Number 71421    Answers: 1   Comments: 1

Question Number 71420    Answers: 0   Comments: 0

Question Number 71410    Answers: 1   Comments: 0

Question Number 71406    Answers: 0   Comments: 6

Hello Solve (x^2 )^(1/3) −3((x(x−1)))^(1/3) +2((x−1))^(1/3) =0

$$\mathrm{Hello}\: \\ $$$$\mathrm{Solve}\:\sqrt[{\mathrm{3}}]{\mathrm{x}^{\mathrm{2}} }−\mathrm{3}\sqrt[{\mathrm{3}}]{\mathrm{x}\left(\mathrm{x}−\mathrm{1}\right)}+\mathrm{2}\sqrt[{\mathrm{3}}]{\mathrm{x}−\mathrm{1}}=\mathrm{0} \\ $$

Question Number 71428    Answers: 1   Comments: 0

Question Number 71396    Answers: 0   Comments: 0

Question Number 71371    Answers: 0   Comments: 1

Question Number 71360    Answers: 0   Comments: 2

lim_(x→0) ((1−(√(1+2x^4 ))cos ((√2)x^2 ))/(x^5 ln (1−2x^3 )))

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{1}−\sqrt{\mathrm{1}+\mathrm{2x}^{\mathrm{4}} }\mathrm{cos}\:\left(\sqrt{\mathrm{2}}\mathrm{x}^{\mathrm{2}} \right)}{\mathrm{x}^{\mathrm{5}} \mathrm{ln}\:\left(\mathrm{1}−\mathrm{2x}^{\mathrm{3}} \right)} \\ $$

Question Number 71348    Answers: 0   Comments: 3

Question Number 71327    Answers: 2   Comments: 0

Question Number 71326    Answers: 2   Comments: 0

(−64)^(1/6) =?(Is there any short cut for mcq)

$$\left(−\mathrm{64}\right)^{\frac{\mathrm{1}}{\mathrm{6}}} =?\left(\boldsymbol{\mathrm{I}}\mathrm{s}\:\mathrm{there}\:\mathrm{any}\:\mathrm{short}\:\mathrm{cut}\:\mathrm{for}\:\mathrm{mcq}\right) \\ $$

Question Number 71317    Answers: 1   Comments: 3

lim_(x→0) ((∣2x−2∣−∣2x+2∣)/x)

$$\underset{{x}\rightarrow\mathrm{0}} {{lim}}\:\frac{\mid\mathrm{2}{x}−\mathrm{2}\mid−\mid\mathrm{2}{x}+\mathrm{2}\mid}{{x}} \\ $$

Question Number 71315    Answers: 0   Comments: 0

please anyone check Q#71198

$$\:{please}\:{anyone}\:{check}\:{Q}#\mathrm{71198} \\ $$

Question Number 71314    Answers: 2   Comments: 1

find ∫_(−1) ^1 ln((√(1+x))+(√(1−x)))dx

$${find}\:\int_{−\mathrm{1}} ^{\mathrm{1}} {ln}\left(\sqrt{\mathrm{1}+{x}}+\sqrt{\mathrm{1}−{x}}\right){dx} \\ $$

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