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Question Number 167889 Answers: 1 Comments: 0

Question Number 167885 Answers: 0 Comments: 0

Question Number 167884 Answers: 2 Comments: 0

∫cosx dx−∫cosx dx=?

$$\int{cosx}\:{dx}−\int{cosx}\:{dx}=? \\ $$

Question Number 167882 Answers: 2 Comments: 0

Calculate I=∫(1/x)((√((1−x)/(1+x))))dx Indication poser t=(√((1−x)/(1+x)))

$${Calculate} \\ $$$${I}=\int\frac{\mathrm{1}}{{x}}\left(\sqrt{\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}}\right){dx} \\ $$$${Indication}\:{poser}\:{t}=\sqrt{\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}} \\ $$

Question Number 167879 Answers: 2 Comments: 1

solve in R (√(x^( 2) −2x +5)) + (√(2x^( 2) −4x +8)) =7 −−−−−

$$ \\ $$$$\:\:\:\:{solve}\:{in}\:\:\mathbb{R} \\ $$$$ \\ $$$$\:\:\sqrt{{x}^{\:\mathrm{2}} −\mathrm{2}{x}\:+\mathrm{5}}\:+\:\sqrt{\mathrm{2}{x}^{\:\mathrm{2}} −\mathrm{4}{x}\:+\mathrm{8}}\:=\mathrm{7} \\ $$$$ \\ $$$$\:\:\:\:\:\:−−−−− \\ $$

Question Number 167877 Answers: 0 Comments: 0

Question Number 167878 Answers: 0 Comments: 0

Question Number 167896 Answers: 0 Comments: 0

prouver que f(x,y)=x^2 +y^2 est differentiable

$${prouver}\:{que}\: \\ $$$${f}\left({x},{y}\right)={x}^{\mathrm{2}} +{y}^{\mathrm{2}} {est}\:{differentiable} \\ $$

Question Number 167872 Answers: 0 Comments: 3

Question Number 167867 Answers: 0 Comments: 2

Question Number 167862 Answers: 1 Comments: 0

■Nice integral■ 𝛀=∫_0 ^1 ((ln^3 (1−x^2 ))/( (√(1−x^2 ))))dx ? by MATH.AMIN

$$\blacksquare\boldsymbol{\mathrm{Nice}}\:\boldsymbol{\mathrm{integral}}\blacksquare \\ $$$$\boldsymbol{\Omega}=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\boldsymbol{\mathrm{ln}}^{\mathrm{3}} \left(\mathrm{1}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} \right)}{\:\sqrt{\mathrm{1}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} }}\boldsymbol{\mathrm{dx}}\:\:\:? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{by}}\:\boldsymbol{\mathrm{MATH}}.\boldsymbol{\mathrm{AMIN}} \\ $$

Question Number 167860 Answers: 0 Comments: 1

Question Number 167853 Answers: 1 Comments: 0

Par de^ velopement limite^ lim_(x→0) ((ln (1+x)−sin x)/( (√(1+x^2 ))−cos x^2 ))

$${Par}\:{d}\acute {{e}velopement}\:{limit}\acute {{e}} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{ln}\:\left(\mathrm{1}+{x}\right)−\mathrm{sin}\:{x}}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }−\mathrm{cos}\:{x}^{\mathrm{2}} } \\ $$

Question Number 167851 Answers: 1 Comments: 0

A particular A.P has a positive common difference and is such that for any three adjacent terms, three times the sum of their squares exceed the square of their sum by 37.5 . Find the common difference.

$$\:\:\mathrm{A}\:\mathrm{particular}\:\mathrm{A}.\mathrm{P}\:\mathrm{has}\:\mathrm{a}\:\mathrm{positive}\: \\ $$$$\:\:\mathrm{common}\:\mathrm{difference}\:\mathrm{and}\:\mathrm{is}\:\mathrm{such}\:\mathrm{that} \\ $$$$\:\:\mathrm{for}\:\mathrm{any}\:\mathrm{three}\:\mathrm{adjacent}\:\mathrm{terms},\:\mathrm{three} \\ $$$$\:\mathrm{times}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{their}\:\mathrm{squares}\:\mathrm{exceed} \\ $$$$\:\mathrm{the}\:\mathrm{square}\:\mathrm{of}\:\mathrm{their}\:\mathrm{sum}\:\mathrm{by}\:\mathrm{37}.\mathrm{5}\:.\:\mathrm{Find} \\ $$$$\:\mathrm{the}\:\mathrm{common}\:\mathrm{difference}.\: \\ $$

Question Number 167848 Answers: 0 Comments: 0

Dans une PME, sont employes 6ouvriers 5 employes. le PDG souhaite prendre l′avis de son personnel. il interroge 7 personnes choisies au hasard parmi ces 11 personnes. soit X la variable aleatoire: “nombre d′ouvriers interroges” 1)quelles sont les valeurs prises par X 2)quelle est la loi de probabilite 3)calculons la probabilite d′interroger 4 ouvrier

$${Dans}\:{une}\:{PME},\:{sont}\:{employes}\:\mathrm{6}{ouvriers} \\ $$$$\mathrm{5}\:{employes}.\:{le}\:{PDG}\:{souhaite}\:{prendre}\:{l}'{avis} \\ $$$${de}\:{son}\:{personnel}.\:{il}\:{interroge}\:\mathrm{7}\:{personnes} \\ $$$${choisies}\:{au}\:{hasard}\:{parmi}\:{ces}\:\mathrm{11}\:{personnes}. \\ $$$${soit}\:{X}\:{la}\:{variable}\:{aleatoire}:\:``{nombre}\: \\ $$$${d}'{ouvriers}\:{interroges}'' \\ $$$$\left.\mathrm{1}\right){quelles}\:{sont}\:{les}\:{valeurs}\:{prises}\:{par}\:{X} \\ $$$$\left.\mathrm{2}\right){quelle}\:{est}\:{la}\:{loi}\:{de}\:{probabilite} \\ $$$$\left.\mathrm{3}\right){calculons}\:{la}\:{probabilite}\:{d}'{interroger}\:\mathrm{4} \\ $$$${ouvrier} \\ $$

Question Number 167840 Answers: 0 Comments: 1