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Question Number 81274 Answers: 0 Comments: 0

Question Number 81267 Answers: 0 Comments: 5

p,is a point,inside ,onside ,outside of equilateral triangle.find side of triangle if distance of :p from vertices of triangle be equail to: 5,7,11. (study each conditions separately). find side of ABC and p_1 p_2 p_3 in a special case that: { ((Ap_1 =11)),((Bp_2 =5)),((Cp_3 =7)) :}

$$\boldsymbol{\mathrm{p}},\mathrm{is}\:\mathrm{a}\:\mathrm{point},\boldsymbol{\mathrm{inside}}\:,\boldsymbol{\mathrm{onside}}\:,\boldsymbol{\mathrm{outside}}\:\mathrm{of} \\ $$$$\mathrm{equilateral}\:\mathrm{triangle}.\mathrm{find}\:\mathrm{side}\:\mathrm{of}\:\mathrm{triangle} \\ $$$$\mathrm{if}\:\mathrm{distance}\:\mathrm{of}\::\boldsymbol{\mathrm{p}}\:\mathrm{from}\:\:\mathrm{vertices}\:\mathrm{of}\:\mathrm{triangle} \\ $$$$\mathrm{be}\:\mathrm{equail}\:\mathrm{to}:\:\mathrm{5},\mathrm{7},\mathrm{11}. \\ $$$$\left(\mathrm{study}\:\mathrm{each}\:\mathrm{conditions}\:\mathrm{separately}\right). \\ $$$$\mathrm{find}\:\mathrm{side}\:\mathrm{of}\:\mathrm{ABC}\:\mathrm{and}\:\mathrm{p}_{\mathrm{1}} \mathrm{p}_{\mathrm{2}} \mathrm{p}_{\mathrm{3}} \:\mathrm{in}\:\mathrm{a}\: \\ $$$$\mathrm{special}\:\mathrm{case}\:\mathrm{that}:\begin{cases}{\mathrm{Ap}_{\mathrm{1}} =\mathrm{11}}\\{\mathrm{Bp}_{\mathrm{2}} =\mathrm{5}}\\{\mathrm{Cp}_{\mathrm{3}} =\mathrm{7}}\end{cases} \\ $$

Question Number 81242 Answers: 1 Comments: 3

Question Number 81226 Answers: 1 Comments: 0

(d/dx)(x!) and (d/dx)(1+2+3+...+x)

$$\frac{{d}}{{dx}}\left({x}!\right)\:{and}\:\frac{{d}}{{dx}}\left(\mathrm{1}+\mathrm{2}+\mathrm{3}+...+{x}\right) \\ $$

Question Number 81221 Answers: 0 Comments: 1

Question Number 81219 Answers: 1 Comments: 4

given a probability function f(x)= (1/3), 1≤x≤4 and f(x)=0 in other x. find the value of σ^(2 ) ?

$${given}\:{a}\:{probability}\: \\ $$$${function}\: \\ $$$${f}\left({x}\right)=\:\frac{\mathrm{1}}{\mathrm{3}},\:\mathrm{1}\leqslant{x}\leqslant\mathrm{4}\:{and}\:{f}\left({x}\right)=\mathrm{0} \\ $$$${in}\:{other}\:{x}.\:{find}\:{the}\:{value}\: \\ $$$${of}\:\sigma^{\mathrm{2}\:} \:? \\ $$

Question Number 81217 Answers: 2 Comments: 0

Question Number 81251 Answers: 1 Comments: 7

Question Number 81206 Answers: 1 Comments: 1

Question Number 81195 Answers: 0 Comments: 7

what is asymtote og function y^2 (x−2a)=x^3 −a^3 ?

$${what}\:{is}\:{asymtote}\:{og}\:{function} \\ $$$${y}^{\mathrm{2}} \left({x}−\mathrm{2}{a}\right)={x}^{\mathrm{3}} −{a}^{\mathrm{3}} \:? \\ $$

Question Number 81193 Answers: 1 Comments: 3

Question Number 81188 Answers: 2 Comments: 1

Question Number 81223 Answers: 1 Comments: 0

x(3^x +2)=3(1−3^x )−x^2

$${x}\left(\mathrm{3}^{{x}} +\mathrm{2}\right)=\mathrm{3}\left(\mathrm{1}−\mathrm{3}^{{x}} \right)−{x}^{\mathrm{2}} \\ $$

Question Number 81222 Answers: 1 Comments: 0

Question Number 81170 Answers: 0 Comments: 8

if cos^3 x+cos^(−3) x =0 find sin 2x+cos 2x

$${if}\:\mathrm{cos}\:^{\mathrm{3}} {x}+\mathrm{cos}\:^{−\mathrm{3}} {x}\:\:=\mathrm{0} \\ $$$${find}\:\mathrm{sin}\:\mathrm{2}{x}+\mathrm{cos}\:\mathrm{2}{x} \\ $$

Question Number 81165 Answers: 1 Comments: 3

let f(x)=(1/(x^2 −2(cosθ)x +1)) 1) calculate f^((n)) (x) 2) find ∫_0 ^∞ f(x)dx 3) find ∫_0 ^∞ f^((n)) (x)dx

$${let}\:{f}\left({x}\right)=\frac{\mathrm{1}}{{x}^{\mathrm{2}} −\mathrm{2}\left({cos}\theta\right){x}\:+\mathrm{1}} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}^{\left({n}\right)} \left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:\int_{\mathrm{0}} ^{\infty} \:{f}\left({x}\right){dx} \\ $$$$\left.\mathrm{3}\right)\:{find}\:\int_{\mathrm{0}} ^{\infty} \:{f}^{\left({n}\right)} \left({x}\right){dx} \\ $$

Question Number 81158 Answers: 0 Comments: 0

S=(1/(cos1))+(1/(cos1cos2))+......+(1/(cos87cos88)) K=tan1tan2+tan3tan4+......+tan87tan88

$${S}=\frac{\mathrm{1}}{{cos}\mathrm{1}}+\frac{\mathrm{1}}{{cos}\mathrm{1}{cos}\mathrm{2}}+......+\frac{\mathrm{1}}{{cos}\mathrm{87}{cos}\mathrm{88}} \\ $$$${K}={tan}\mathrm{1}{tan}\mathrm{2}+{tan}\mathrm{3}{tan}\mathrm{4}+......+{tan}\mathrm{87}{tan}\mathrm{88} \\ $$

Question Number 81157 Answers: 0 Comments: 0

Let n≥2 , for x∈[0,1] : let consider A(x)={ u∈R_+ ^∗ \ x<u^n } 1)Prove that if a,b∈[0,1] a≤b ⇔A(a)⊆A(b) 2)Deduce x=[infA(x) ]^n

$${Let}\:{n}\geqslant\mathrm{2}\:,\:{for}\:\:{x}\in\left[\mathrm{0},\mathrm{1}\right]\:\::\:\:\:{let}\:\:{consider}\:\:{A}\left({x}\right)=\left\{\:{u}\in\mathbb{R}_{+} ^{\ast} \:\backslash\:\:\:{x}<{u}^{{n}} \right\}\: \\ $$$$\left.\mathrm{1}\right){Prove}\:\:{that}\:{if}\:\:\:{a},{b}\in\left[\mathrm{0},\mathrm{1}\right]\:\:\:\:\:\:\:\:\:\:{a}\leqslant{b}\:\Leftrightarrow{A}\left({a}\right)\subseteq{A}\left({b}\right)\:\:\: \\ $$$$\left.\mathrm{2}\right){Deduce}\:\:\:\:\:{x}=\left[{infA}\left({x}\right)\:\right]^{{n}} \:\: \\ $$

Question Number 81149 Answers: 1 Comments: 0

Question Number 81139 Answers: 1 Comments: 6

Question Number 81133 Answers: 0 Comments: 1

find this ∫(1/(sin^2 x((cot^4 x))^(1/7) ))dx

$${find}\:{this}\: \\ $$$$\int\frac{\mathrm{1}}{{sin}^{\mathrm{2}} {x}\sqrt[{\mathrm{7}}]{{cot}^{\mathrm{4}} {x}}}{dx} \\ $$

Question Number 81134 Answers: 0 Comments: 0

prove A×B≠B×A with A and B are matrices

$${prove}\:{A}×{B}\neq{B}×{A} \\ $$$${with}\:{A}\:{and}\:{B}\:{are}\:{matrices} \\ $$

Question Number 81135 Answers: 1 Comments: 1

Question Number 81130 Answers: 0 Comments: 0

ζ(s)=0

$$\zeta\left({s}\right)=\mathrm{0} \\ $$

Question Number 81124 Answers: 1 Comments: 0

Question Number 81123 Answers: 0 Comments: 3

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