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Question Number 211430 Answers: 0 Comments: 1

determiner les valeurs demandees en finction des donnes :a, b ,angle F2 (h=MH)

$$\mathrm{determiner}\:\mathrm{les}\:\mathrm{valeurs}\:\mathrm{demandees} \\ $$$$\mathrm{en}\:\mathrm{finction}\:\mathrm{des}\:\mathrm{donnes}\::\boldsymbol{\mathrm{a}},\:\boldsymbol{\mathrm{b}}\:,\mathrm{angle}\:\:\boldsymbol{\mathrm{F}}\mathrm{2} \\ $$$$\left(\mathrm{h}=\boldsymbol{\mathrm{MH}}\right) \\ $$

Question Number 211421 Answers: 1 Comments: 0

if a_n = n^4 ∫_n ^(n+1) ((x dx)/(1+x^5 )) then (1) Σa_n is convergent or divergent?? (2) lim_(n→∞) a_(n ) = ??

$$\:\:\:\:\mathrm{if}\:\mathrm{a}_{\mathrm{n}} \:=\:\mathrm{n}^{\mathrm{4}} \int_{\mathrm{n}} ^{\mathrm{n}+\mathrm{1}} \:\frac{\mathrm{x}\:\mathrm{dx}}{\mathrm{1}+\mathrm{x}^{\mathrm{5}} }\:\:\mathrm{then} \\ $$$$\:\:\:\:\left(\mathrm{1}\right)\:\Sigma\mathrm{a}_{\mathrm{n}} \:\mathrm{is}\:\mathrm{convergent}\:\mathrm{or}\:\mathrm{divergent}?? \\ $$$$\:\:\:\:\left(\mathrm{2}\right)\:\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{a}_{\mathrm{n}\:} \:=\:?? \\ $$

Question Number 211419 Answers: 1 Comments: 0

Question Number 211418 Answers: 2 Comments: 0

Question Number 211417 Answers: 0 Comments: 0

Question Number 211416 Answers: 1 Comments: 1

Question Number 211415 Answers: 0 Comments: 1

Question Number 211414 Answers: 1 Comments: 0

Question Number 211405 Answers: 0 Comments: 1

Question Number 211402 Answers: 1 Comments: 0

Question Number 211400 Answers: 3 Comments: 0

∫_0 ^1 ((x^3 −3x^2 +3x−1)/(x^4 +4x^3 +6x^2 +4x+1))dx

$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{\mathrm{3}} −\mathrm{3}{x}^{\mathrm{2}} +\mathrm{3}{x}−\mathrm{1}}{{x}^{\mathrm{4}} +\mathrm{4}{x}^{\mathrm{3}} +\mathrm{6}{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{1}}{dx} \\ $$$$ \\ $$

Question Number 211399 Answers: 0 Comments: 1

∫(dx/((1+x^4 )(√(1+x^4 −x^2 ))))

$$\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{4}} \right)\sqrt{\mathrm{1}+{x}^{\mathrm{4}} −{x}^{\mathrm{2}} }} \\ $$$$ \\ $$

Question Number 211398 Answers: 1 Comments: 0

Question Number 211393 Answers: 3 Comments: 1

Question Number 211392 Answers: 1 Comments: 0

△ABC. cos C=((sin A + cos A)/2)=((sin B + cos B)/2). Find cos C.

$$\bigtriangleup{ABC}.\:\mathrm{cos}\:{C}=\frac{\mathrm{sin}\:{A}\:+\:\mathrm{cos}\:{A}}{\mathrm{2}}=\frac{\mathrm{sin}\:{B}\:+\:\mathrm{cos}\:{B}}{\mathrm{2}}. \\ $$$$\mathrm{Find}\:\mathrm{cos}\:{C}. \\ $$

Question Number 211383 Answers: 2 Comments: 1

Question Number 211381 Answers: 2 Comments: 1

Question Number 211377 Answers: 0 Comments: 0

The irrational number ^3 (√(^3 (√2)−1)) is written as^3 (√p) +^3 (√q) +^3 (√r) what is p, q, r ?

$$\boldsymbol{\mathrm{The}}\:\boldsymbol{\mathrm{irrational}}\:\boldsymbol{\mathrm{number}}\: \\ $$$$\:^{\mathrm{3}} \sqrt{\:^{\mathrm{3}} \sqrt{\mathrm{2}}−\mathrm{1}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{written}}\:\boldsymbol{\mathrm{as}}\:^{\mathrm{3}} \sqrt{\boldsymbol{\mathrm{p}}}\:+\:^{\mathrm{3}} \sqrt{\boldsymbol{\mathrm{q}}}\:+\:^{\mathrm{3}} \sqrt{\boldsymbol{\mathrm{r}}}\: \\ $$$$\boldsymbol{\mathrm{what}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{p}},\:\boldsymbol{\mathrm{q}},\:\boldsymbol{\mathrm{r}}\:? \\ $$

Question Number 211374 Answers: 0 Comments: 0

Evaluate: Σ_(k=1) ^n (((sin (2^(k+4) θ))/(sin (2^k θ)))).

$$\mathrm{Evaluate}:\:\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\left(\frac{\mathrm{sin}\:\left(\mathrm{2}^{{k}+\mathrm{4}} \theta\right)}{\mathrm{sin}\:\left(\mathrm{2}^{\mathrm{k}} \theta\right)}\right). \\ $$

Question Number 211373 Answers: 3 Comments: 0

Question Number 211365 Answers: 2 Comments: 0

Question Number 222365 Answers: 1 Comments: 0

Prove ∮_( ∂S) E^→ ∙dS^→ =(ρ_(enc) /𝛜_0 ) E^→ =(r^→ /r^3 )

$$\mathrm{Prove} \\ $$$$\oint_{\:\partial\mathcal{S}} \:\overset{\rightarrow} {\boldsymbol{\mathrm{E}}}\centerdot\mathrm{d}\overset{\rightarrow} {\mathcal{S}}=\frac{\rho_{\mathrm{enc}} }{\boldsymbol{\varepsilon}_{\mathrm{0}} } \\ $$$$\overset{\rightarrow} {\boldsymbol{\mathrm{E}}}=\frac{\overset{\rightarrow} {\boldsymbol{\mathrm{r}}}}{\boldsymbol{\mathrm{r}}^{\mathrm{3}} }\: \\ $$

Question Number 222359 Answers: 0 Comments: 1

(1) [ax^3 +bx^2 +cx+d]_x ′ (2) [x(x−a)^2 ]_x ′ (3) [(x^2 −x)(x^2 −4)]_x ′ (4) [(x+2)(x−5)(x−1)]_x ′

$$\left(\mathrm{1}\right)\:\left[{ax}^{\mathrm{3}} +{bx}^{\mathrm{2}} +{cx}+{d}\right]_{{x}} ' \\ $$$$\left(\mathrm{2}\right)\:\left[{x}\left({x}−{a}\right)^{\mathrm{2}} \right]_{{x}} ' \\ $$$$\left(\mathrm{3}\right)\:\left[\left({x}^{\mathrm{2}} −{x}\right)\left({x}^{\mathrm{2}} −\mathrm{4}\right)\right]_{{x}} ' \\ $$$$\left(\mathrm{4}\right)\:\left[\left({x}+\mathrm{2}\right)\left({x}−\mathrm{5}\right)\left({x}−\mathrm{1}\right)\right]_{{x}} ' \\ $$

Question Number 211345 Answers: 0 Comments: 1

Evaluer: (R/(r1+r2))

$$\mathrm{E}\boldsymbol{\mathrm{valuer}}:\:\:\frac{\boldsymbol{\mathrm{R}}}{\boldsymbol{\mathrm{r}}\mathrm{1}+\boldsymbol{\mathrm{r}}\mathrm{2}} \\ $$

Question Number 211344 Answers: 1 Comments: 0

find ∫(dx/(sin^3 (x) cos^5 (x))) .dx

$$\:\:\:{find}\:\int\frac{\boldsymbol{{dx}}}{\boldsymbol{{sin}}^{\mathrm{3}} \left(\boldsymbol{{x}}\right)\:\boldsymbol{{cos}}^{\mathrm{5}} \left(\boldsymbol{{x}}\right)}\:.\boldsymbol{{dx}}\: \\ $$

Question Number 211340 Answers: 2 Comments: 1

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