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AllQuestion and Answers: Page 308

Question Number 190542    Answers: 0   Comments: 0

Question Number 190537    Answers: 1   Comments: 0

Question Number 190536    Answers: 1   Comments: 0

If p,q and r are the roots of equation x^3 −3x^2 +1 = 0 then find the value of ((3p−2))^(1/3) +((3q−2))^(1/3) +((3r−2))^(1/3)

$$\:\mathrm{If}\:\mathrm{p},\mathrm{q}\:\mathrm{and}\:\mathrm{r}\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{equation} \\ $$$$\:\mathrm{x}^{\mathrm{3}} −\mathrm{3x}^{\mathrm{2}} +\mathrm{1}\:=\:\mathrm{0}\:\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value} \\ $$$$\:\mathrm{of}\:\sqrt[{\mathrm{3}}]{\mathrm{3p}−\mathrm{2}}\:+\sqrt[{\mathrm{3}}]{\mathrm{3q}−\mathrm{2}}+\sqrt[{\mathrm{3}}]{\mathrm{3r}−\mathrm{2}}\: \\ $$

Question Number 190533    Answers: 1   Comments: 0

Question Number 190532    Answers: 1   Comments: 0

10x^2 −9xy+2y^2 =10 please how do I find the ratio of x:y

$$\mathrm{10x}^{\mathrm{2}} −\mathrm{9xy}+\mathrm{2y}^{\mathrm{2}} =\mathrm{10} \\ $$$$\:\mathrm{please}\:\mathrm{how}\:\mathrm{do}\:\mathrm{I}\:\mathrm{find}\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{of} \\ $$$$\:\mathrm{x}:\mathrm{y} \\ $$

Question Number 190527    Answers: 1   Comments: 1

Question Number 190523    Answers: 1   Comments: 0

Question Number 190522    Answers: 1   Comments: 0

Question Number 190521    Answers: 1   Comments: 0

Question Number 190520    Answers: 2   Comments: 0

if a,b and c root of the x^3 −16x^2 −57x+1=0 thi find thd volue of a^(1/5) +b^(1/5) +c^(1/5) =?

$${if}\:{a},{b}\:{and}\:{c}\:{root}\:{of}\:{the} \\ $$$${x}^{\mathrm{3}} −\mathrm{16}{x}^{\mathrm{2}} −\mathrm{57}{x}+\mathrm{1}=\mathrm{0} \\ $$$${thi}\:{find}\:{thd}\:{volue}\:{of} \\ $$$${a}^{\frac{\mathrm{1}}{\mathrm{5}}} +{b}^{\frac{\mathrm{1}}{\mathrm{5}}} +{c}^{\frac{\mathrm{1}}{\mathrm{5}}} =? \\ $$

Question Number 190512    Answers: 1   Comments: 0

Question Number 190508    Answers: 3   Comments: 0

Question Number 190487    Answers: 1   Comments: 0

Question Number 190480    Answers: 1   Comments: 0

Proof that ((√2))^(√2) ∈R\Q

$$\mathrm{Proof}\:\mathrm{that}\:\left(\sqrt{\mathrm{2}}\right)^{\sqrt{\mathrm{2}}} \in\mathbb{R}\backslash\mathrm{Q} \\ $$

Question Number 190464    Answers: 1   Comments: 0

{ ((u_(n+1) = u_n −3 )),((v_(n+1) = 4v_n )) :} : u_0 = v_0 = 1 w_n = ((1−u_n )/v_n ) − show that w_n is bounded − find a,b∈R such that a ≤ w_n ≤ b

$$\begin{cases}{{u}_{{n}+\mathrm{1}} \:=\:{u}_{{n}} −\mathrm{3}\:}\\{{v}_{{n}+\mathrm{1}} \:=\:\mathrm{4}{v}_{{n}} }\end{cases}\::\:{u}_{\mathrm{0}} \:=\:{v}_{\mathrm{0}} \:=\:\mathrm{1} \\ $$$${w}_{{n}} \:=\:\frac{\mathrm{1}−{u}_{{n}} }{{v}_{{n}} } \\ $$$$−\:{show}\:{that}\:{w}_{{n}} \:{is}\:{bounded} \\ $$$$−\:{find}\:{a},{b}\in\mathbb{R}\:{such}\:{that}\:{a}\:\leqslant\:{w}_{{n}} \:\leqslant\:{b} \\ $$

Question Number 190452    Answers: 0   Comments: 0

∫((cos^(1.5) x−sin^(1.5) x)/( (√(sinx cosx)))) dx = ∫((cos^(3/2) x)/(sin^(1/2) x cos^(1/2) x))dx−∫((sin^(3/2) x)/(sin^(1/2) x cos^(1/2) x)) dx = ∫ ((cosx)/(sin^(1/2) x)) dx − ∫ ((sinx)/(cos^(1/2) x)) dx = ∫ (dt/t^(1/2) ) − ∫ (((−dz))/z^(1/2) ) where cosx = z and sinx = t = 2 (√(sinx)) + 2 (√(cosx)) + C

$$\int\frac{{cos}^{\mathrm{1}.\mathrm{5}} {x}−{sin}^{\mathrm{1}.\mathrm{5}} {x}}{\:\sqrt{{sinx}\:{cosx}}}\:{dx} \\ $$$$=\:\int\frac{{cos}^{\frac{\mathrm{3}}{\mathrm{2}}} {x}}{{sin}^{\mathrm{1}/\mathrm{2}} {x}\:{cos}^{\mathrm{1}/\mathrm{2}} {x}}{dx}−\int\frac{{sin}^{\frac{\mathrm{3}}{\mathrm{2}}} {x}}{{sin}^{\mathrm{1}/\mathrm{2}} {x}\:{cos}^{\mathrm{1}/\mathrm{2}} {x}}\:{dx} \\ $$$$=\:\int\:\frac{{cosx}}{{sin}^{\mathrm{1}/\mathrm{2}} {x}}\:{dx}\:−\:\int\:\frac{{sinx}}{{cos}^{\mathrm{1}/\mathrm{2}} {x}}\:{dx} \\ $$$$=\:\int\:\frac{{dt}}{{t}^{\mathrm{1}/\mathrm{2}} }\:−\:\int\:\frac{\left(−{dz}\right)}{{z}^{\mathrm{1}/\mathrm{2}} } \\ $$$${where}\:{cosx}\:=\:{z}\:{and}\:{sinx}\:=\:{t} \\ $$$$=\:\mathrm{2}\:\sqrt{{sinx}}\:+\:\mathrm{2}\:\sqrt{{cosx}}\:+\:{C} \\ $$

Question Number 190459    Answers: 1   Comments: 7

hi me tinko Tara Hello, when I use my mobile keyboard, the writing is on the right side, and when I use the math editor keyboard, the writing is still on the right side. I want the question to be typed on the left side, like

$$ \\ $$hi me tinko Tara Hello, when I use my mobile keyboard, the writing is on the right side, and when I use the math editor keyboard, the writing is still on the right side. I want the question to be typed on the left side, like

Question Number 190450    Answers: 0   Comments: 0

Question Number 190449    Answers: 1   Comments: 0

John stands at 10m from a mango tree while Philip stands between John and the Philip. The angle of elevation from John and Philip is 55º and 70º respectively. If John is 1.7m tall and Philip is 1.5m tall, find the minimum length of stick they will each need to touch the mango from their position. Help Please

$$ \\ $$John stands at 10m from a mango tree while Philip stands between John and the Philip. The angle of elevation from John and Philip is 55º and 70º respectively. If John is 1.7m tall and Philip is 1.5m tall, find the minimum length of stick they will each need to touch the mango from their position. Help Please

Question Number 190448    Answers: 1   Comments: 0

Question Number 190443    Answers: 0   Comments: 0

Question Number 190501    Answers: 1   Comments: 0

lim_(x→∞) (3^x /(x!))=? solution?

$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\frac{\mathrm{3}^{\mathrm{x}} }{\mathrm{x}!}=? \\ $$$$\mathrm{solution}? \\ $$

Question Number 190435    Answers: 2   Comments: 0

how is solution lim_(x→0) ((x^(10) ∙sin^4 x∙cos^8 x∙(x+1)^3 )/(x^4 +3x^3 +3x^2 +x))=?

$$ \\ $$$$\mathrm{how}\:\mathrm{is}\:\mathrm{solution} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{x}^{\mathrm{10}} \centerdot\mathrm{sin}^{\mathrm{4}} \mathrm{x}\centerdot\mathrm{cos}^{\mathrm{8}} \mathrm{x}\centerdot\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{3}} }{\mathrm{x}^{\mathrm{4}} +\mathrm{3x}^{\mathrm{3}} +\mathrm{3x}^{\mathrm{2}} +\mathrm{x}}=? \\ $$$$ \\ $$

Question Number 190425    Answers: 1   Comments: 0

Question Number 190420    Answers: 1   Comments: 2

laplace transform −−−−−−− L_t { (( sin(t ))/t) } = F (s ) F (s )= ? then calculate . Ω=∫_0 ^( ∞) ((e^( −2t) sin(t ))/t) dt =? −−−−−−−−

$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{laplace}\:\:\mathrm{transform} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:−−−−−−− \\ $$$$\:\:\:\:\:\:\:\:\:\:\mathcal{L}_{{t}} \:\left\{\:\:\frac{\:\mathrm{sin}\left({t}\:\right)}{{t}}\:\:\right\}\:=\:\mathcal{F}\:\left({s}\:\right)\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathcal{F}\:\left({s}\:\right)=\:\:?\:\: \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:{then}\:\:{calculate}\:. \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\Omega=\int_{\mathrm{0}} ^{\:\infty} \frac{{e}^{\:−\mathrm{2}{t}} {sin}\left({t}\:\right)}{{t}}\:{dt}\:=? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:−−−−−−−− \\ $$

Question Number 190419    Answers: 1   Comments: 0

∫_(−1) ^1 ∫_(−(√(1−y^2 ))) ^(√(1−y^2 )) ln (x^2 +y^2 +1)dx dy =?

$$\:\underset{−\mathrm{1}} {\overset{\mathrm{1}} {\int}}\underset{−\sqrt{\mathrm{1}−{y}^{\mathrm{2}} }} {\overset{\sqrt{\mathrm{1}−{y}^{\mathrm{2}} }} {\int}}\:\mathrm{ln}\:\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} +\mathrm{1}\right){dx}\:{dy}\:=? \\ $$

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