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Question Number 105306 Answers: 1 Comments: 1

(1/(2+(√2))) +(1/(3(√2)+2(√3) ))+(1/(4(√3)+3(√4)))+...+(1/(100(√(99))+99(√(100))))

$$\frac{\mathrm{1}}{\mathrm{2}+\sqrt{\mathrm{2}}}\:+\frac{\mathrm{1}}{\mathrm{3}\sqrt{\mathrm{2}}+\mathrm{2}\sqrt{\mathrm{3}}\:}+\frac{\mathrm{1}}{\mathrm{4}\sqrt{\mathrm{3}}+\mathrm{3}\sqrt{\mathrm{4}}}+...+\frac{\mathrm{1}}{\mathrm{100}\sqrt{\mathrm{99}}+\mathrm{99}\sqrt{\mathrm{100}}} \\ $$

Question Number 101680 Answers: 2 Comments: 0

Question Number 101671 Answers: 0 Comments: 0

What is the set of point M in each case: 1) ∣∣6MG^(→) ∣∣=∣∣−2GC^(→) ∣∣ 2) (6MG^(→) )×(−2GC^(→) )=0

$${What}\:{is}\:{the}\:{set}\:{of}\:{point}\:{M}\:{in}\:{each} \\ $$$${case}: \\ $$$$\left.\mathrm{1}\right)\:\:\:\:\mid\mid\mathrm{6}\overset{\rightarrow} {{MG}}\mid\mid=\mid\mid−\mathrm{2}\overset{\rightarrow} {{GC}}\mid\mid \\ $$$$\left.\mathrm{2}\right)\:\:\:\:\left(\mathrm{6}\overset{\rightarrow} {{MG}}\right)×\left(−\mathrm{2}\overset{\rightarrow} {{GC}}\right)=\mathrm{0} \\ $$

Question Number 105250 Answers: 1 Comments: 0

(1/(1×3))+(2/(1×3×5))+(3/(1×3×5×7))+.........n−terms Find sum

$$\frac{\mathrm{1}}{\mathrm{1}×\mathrm{3}}+\frac{\mathrm{2}}{\mathrm{1}×\mathrm{3}×\mathrm{5}}+\frac{\mathrm{3}}{\mathrm{1}×\mathrm{3}×\mathrm{5}×\mathrm{7}}+.........\mathrm{n}−\mathrm{terms} \\ $$$$\mathrm{Find}\:\mathrm{sum} \\ $$

Question Number 101650 Answers: 2 Comments: 1

Question Number 101658 Answers: 1 Comments: 0

solve in R x^3 −4x−1=0

$${solve}\:{in}\:\mathbb{R} \\ $$$${x}^{\mathrm{3}} −\mathrm{4}{x}−\mathrm{1}=\mathrm{0} \\ $$

Question Number 101645 Answers: 1 Comments: 0

E is a vectorial plane in B=(i^→ ,j^→ ) base. f is an endomorphism of E. f(i^→ )=4i^→ −j^→ and f(j^→ )=2i^→ +j^→ . u^→ =xi^→ +yj^→ ∈ E and x,y ∈ R. 1) Determinate f^( −1) (u).

$${E}\:{is}\:{a}\:{vectorial}\:{plane}\:{in}\:{B}=\left(\overset{\rightarrow} {{i}},\overset{\rightarrow} {{j}}\right) \\ $$$${base}.\:{f}\:{is}\:{an}\:{endomorphism}\:{of}\:{E}. \\ $$$${f}\left(\overset{\rightarrow} {{i}}\right)=\mathrm{4}\overset{\rightarrow} {{i}}−\overset{\rightarrow} {{j}}\:{and}\:{f}\left(\overset{\rightarrow} {{j}}\right)=\mathrm{2}\overset{\rightarrow} {{i}}+\overset{\rightarrow} {{j}}. \\ $$$$\overset{\rightarrow} {{u}}={x}\overset{\rightarrow} {{i}}+{y}\overset{\rightarrow} {{j}}\:\in\:{E}\:{and}\:{x},{y}\:\in\:\mathbb{R}. \\ $$$$\left.\mathrm{1}\right)\:{Determinate}\:{f}^{\:−\mathrm{1}} \left({u}\right). \\ $$

Question Number 101641 Answers: 0 Comments: 1

hello every one for any user here please stop saying (please help me or who can help me or who is intellegent or.......) just post your question and if we can help you we will do.

$${hello}\:{every}\:{one} \\ $$$${for}\:{any}\:{user}\:{here}\:{please}\:{stop}\:{saying} \\ $$$$\left({please}\:{help}\:{me}\:{or}\:{who}\:{can}\:{help}\:{me}\:{or}\right. \\ $$$$\left.{who}\:{is}\:{intellegent}\:{or}.......\right) \\ $$$${just}\:{post}\:{your}\:{question}\:{and}\:{if}\:{we}\:{can} \\ $$$${help}\:{you}\:{we}\:{will}\:{do}. \\ $$$$ \\ $$

Question Number 101633 Answers: 1 Comments: 2

∫x^x^x ∙x^x ∙x dx=?

$$\int\mathrm{x}^{\mathrm{x}^{\mathrm{x}} } \centerdot\mathrm{x}^{\mathrm{x}} \centerdot\mathrm{x}\:\mathrm{dx}=? \\ $$

Question Number 101625 Answers: 0 Comments: 1

Question Number 101615 Answers: 3 Comments: 4

Question Number 101616 Answers: 2 Comments: 1

Question Number 101610 Answers: 2 Comments: 0

Question Number 101608 Answers: 0 Comments: 0

∫_(0 ) ^(π/2) ln(((ln^2 (sin(θ)))/(π^2 +ln^2 (sin(θ)))))((ln(cos(θ)))/(tan(θ)))dθ

$$\int_{\mathrm{0}\:} ^{\frac{\pi}{\mathrm{2}}} {ln}\left(\frac{{ln}^{\mathrm{2}} \left({sin}\left(\theta\right)\right)}{\pi^{\mathrm{2}} +{ln}^{\mathrm{2}} \left({sin}\left(\theta\right)\right)}\right)\frac{{ln}\left({cos}\left(\theta\right)\right)}{{tan}\left(\theta\right)}{d}\theta \\ $$

Question Number 101607 Answers: 0 Comments: 0

f(x)=(√(2x+7))+log_3 x f^(−1) (x)=?

$$\mathrm{f}\left(\mathrm{x}\right)=\sqrt{\mathrm{2x}+\mathrm{7}}+\mathrm{log}_{\mathrm{3}} \mathrm{x} \\ $$$$\mathrm{f}^{−\mathrm{1}} \left(\mathrm{x}\right)=?\:\:\:\:\:\: \\ $$

Question Number 101601 Answers: 1 Comments: 0

∫_((√2)−1) ^((√2)+1) ((x^4 +x^2 +1)/((x^2 +1)^2 ))dx

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

Question Number 101597 Answers: 0 Comments: 3

∫ ln (1+ e^x ) dx = ..

$$\:\int\:\mathrm{ln}\:\left(\mathrm{1}+\:{e}^{{x}} \right)\:{dx}\:=\:.. \\ $$

Question Number 101595 Answers: 2 Comments: 0

let f(x) =cos^n x 1) find f^((n)) (x) and f^((n)) (0) 2) developp f at integr serie 3) detemine ∫ f(x)dx

$$\mathrm{let}\:\mathrm{f}\left(\mathrm{x}\right)\:=\mathrm{cos}^{\mathrm{n}} \mathrm{x} \\ $$$$\left.\mathrm{1}\right)\:\mathrm{find}\:\mathrm{f}^{\left(\mathrm{n}\right)} \left(\mathrm{x}\right)\:\mathrm{and}\:\mathrm{f}^{\left(\mathrm{n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right)\:\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\mathrm{integr}\:\mathrm{serie} \\ $$$$\left.\mathrm{3}\right)\:\mathrm{detemine}\:\:\int\:\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx} \\ $$

Question Number 101585 Answers: 1 Comments: 0

∫_0 ^π (1/(a^2 −2a cosx + 1))dx (a<1) is

$$\int_{\mathrm{0}} ^{\pi} \frac{\mathrm{1}}{{a}^{\mathrm{2}} −\mathrm{2}{a}\:{cosx}\:+\:\mathrm{1}}{dx}\:\left({a}<\mathrm{1}\right)\:{is} \\ $$$$ \\ $$

Question Number 101582 Answers: 2 Comments: 0

lim_(n→∞) (1/n^2 ) Σ_(r=1) ^n r e^(r/n) =

$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\:\frac{\mathrm{1}}{{n}^{\mathrm{2}} }\:\underset{{r}=\mathrm{1}} {\overset{{n}} {\sum}}\:{r}\:{e}^{{r}/{n}} \:= \\ $$

Question Number 101590 Answers: 2 Comments: 1

p(2x+5)=(2x^2 +3x−1)Q(x+1) if Q(−1)=3 then p(1)=?

$$\mathrm{p}\left(\mathrm{2x}+\mathrm{5}\right)=\left(\mathrm{2x}^{\mathrm{2}} +\mathrm{3x}−\mathrm{1}\right)\mathrm{Q}\left(\mathrm{x}+\mathrm{1}\right) \\ $$$$\mathrm{if}\:\mathrm{Q}\left(−\mathrm{1}\right)=\mathrm{3}\:\:\:\:\:\mathrm{then}\:\mathrm{p}\left(\mathrm{1}\right)=? \\ $$

Question Number 101589 Answers: 1 Comments: 0

if sin10^0 =x then sin70^0 =?

$$\mathrm{if}\:\mathrm{sin10}^{\mathrm{0}} =\mathrm{x}\:\:\:\:\:\:\:\:\:\:\mathrm{then}\:\:\:\mathrm{sin70}^{\mathrm{0}} =? \\ $$

Question Number 101871 Answers: 1 Comments: 0

if a_1 = −4 , a_2 =−1 and a_n = a_(n+1) +a_(n+3 ) . find a_4 −a_1 ?

$${if}\:{a}_{\mathrm{1}} =\:−\mathrm{4}\:,\:{a}_{\mathrm{2}} =−\mathrm{1}\:{and}\: \\ $$$${a}_{{n}} \:=\:{a}_{{n}+\mathrm{1}} +{a}_{{n}+\mathrm{3}\:} .\:{find}\: \\ $$$${a}_{\mathrm{4}} −{a}_{\mathrm{1}} ? \\ $$

Question Number 101860 Answers: 1 Comments: 1

Question Number 101851 Answers: 1 Comments: 0

Question Number 101568 Answers: 1 Comments: 0

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