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AllQuestion and Answers: Page 311

Question Number 189838 Answers: 0 Comments: 0

Question Number 189826 Answers: 0 Comments: 0

Question Number 189825 Answers: 2 Comments: 0

∫^b _a (√((x−a)(b−x)))=¿

$$\underset{{a}} {\int}^{{b}} \sqrt{\left({x}−{a}\right)\left({b}−{x}\right)}=¿ \\ $$

Question Number 189823 Answers: 0 Comments: 0

If: x_0 = 1 x_(n+1) = (√(x_n ^2 + x_n )) Find: Ω =lim_(n→∞) (x_n - (n/2) + (1/8) Σ_(k=1) ^(n−1) (1/x_k ))

$$\mathrm{If}:\:\:\:\mathrm{x}_{\mathrm{0}} \:=\:\mathrm{1} \\ $$$$\:\:\:\:\:\:\:\:\mathrm{x}_{\boldsymbol{\mathrm{n}}+\mathrm{1}} \:=\:\sqrt{\mathrm{x}_{\boldsymbol{\mathrm{n}}} ^{\mathrm{2}} \:+\:\mathrm{x}_{\boldsymbol{\mathrm{n}}} } \\ $$$$\mathrm{Find}:\:\:\:\Omega\:=\underset{\boldsymbol{\mathrm{n}}\rightarrow\infty} {\mathrm{lim}}\:\left(\mathrm{x}_{\boldsymbol{\mathrm{n}}} -\:\frac{\mathrm{n}}{\mathrm{2}}\:+\:\frac{\mathrm{1}}{\mathrm{8}}\:\underset{\boldsymbol{\mathrm{k}}=\mathrm{1}} {\overset{\boldsymbol{\mathrm{n}}−\mathrm{1}} {\sum}}\:\frac{\mathrm{1}}{\mathrm{x}_{\boldsymbol{\mathrm{k}}} }\right) \\ $$

Question Number 189816 Answers: 0 Comments: 0

Question Number 189815 Answers: 1 Comments: 0

Question Number 189808 Answers: 2 Comments: 0

Question Number 189807 Answers: 3 Comments: 0

Question Number 189803 Answers: 3 Comments: 0

what′s the minimum value of a+(1/(b(a−b))) where a>b>0 a,b∈R

$$ \\ $$$${what}'{s}\:{the}\:{minimum}\:{value}\:{of} \\ $$$${a}+\frac{\mathrm{1}}{{b}\left({a}−{b}\right)}\:{where}\:{a}>{b}>\mathrm{0}\:{a},{b}\in\mathbb{R} \\ $$$$ \\ $$

Question Number 189797 Answers: 0 Comments: 2

Question Number 189793 Answers: 2 Comments: 1

Question Number 189792 Answers: 1 Comments: 0

Question Number 189791 Answers: 1 Comments: 0

Question Number 189790 Answers: 1 Comments: 0

Question Number 189786 Answers: 1 Comments: 0

Question Number 189777 Answers: 0 Comments: 0

Question (Graph )... How many four member dominating sets are there in the graph of C_( 7) ? −−−−−−

$$ \\ $$$$\:\:\:\mathrm{Question}\:\:\left(\mathrm{Graph}\:\right)... \\ $$$$ \\ $$$$\:\:\:\:\mathrm{How}\:\mathrm{many}\:\mathrm{four}\:\mathrm{member}\:\mathrm{dominating}\:\mathrm{sets} \\ $$$$\:\:\:\: \\ $$$$\:\:\:\:\:\:\mathrm{are}\:\:\mathrm{there}\:\:\mathrm{in}\:\mathrm{the}\:\:\mathrm{graph}\:\mathrm{of}\:\:\mathrm{C}_{\:\mathrm{7}} \:? \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:−−−−−− \\ $$$$\:\:\:\:\:\:\:\:\:\: \\ $$$$ \\ $$

Question Number 189769 Answers: 0 Comments: 2

∫_0 ^(3π) (√(a^2 sin^2 ((θ/3))+a^2 cos^2 ((θ/3))sin^4 ((θ/3)))) dθ = ?

$$\int_{\mathrm{0}} ^{\mathrm{3}\pi} \sqrt{{a}^{\mathrm{2}} {sin}^{\mathrm{2}} \left(\frac{\theta}{\mathrm{3}}\right)+{a}^{\mathrm{2}} {cos}^{\mathrm{2}} \left(\frac{\theta}{\mathrm{3}}\right){sin}^{\mathrm{4}} \left(\frac{\theta}{\mathrm{3}}\right)}\:{d}\theta\:\:=\:? \\ $$

Question Number 189763 Answers: 0 Comments: 0

Question Number 189761 Answers: 3 Comments: 0

(x/(1×2)) + (x/(2×3)) + (x/(3×4)) + ......+ (x/(1998×1999)) + (x/(1999×2000)) = 1 x = ????

$$ \\ $$$$\:\:\frac{\boldsymbol{{x}}}{\mathrm{1}×\mathrm{2}}\:+\:\frac{\boldsymbol{{x}}}{\mathrm{2}×\mathrm{3}}\:+\:\frac{\boldsymbol{{x}}}{\mathrm{3}×\mathrm{4}}\:+\:......+\:\frac{\boldsymbol{{x}}}{\mathrm{1998}×\mathrm{1999}}\:+\:\frac{\boldsymbol{{x}}}{\mathrm{1999}×\mathrm{2000}}\:=\:\mathrm{1}\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{{x}}\:=\:???? \\ $$$$ \\ $$

Question Number 189757 Answers: 2 Comments: 0

Find: lim_(x→(𝛑/2)) (((√2) ∣ sin 4x ∣)/( (√(1 − cos 4x)))) = ? Find: lim_(x→𝛑) (((√2) ∣ sin 6x ∣)/( (√(1 − cos 6x)))) = ?

$$\mathrm{Find}:\:\:\:\:\:\underset{\boldsymbol{\mathrm{x}}\rightarrow\frac{\boldsymbol{\pi}}{\mathrm{2}}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{2}}\:\mid\:\mathrm{sin}\:\mathrm{4x}\:\mid}{\:\sqrt{\mathrm{1}\:−\:\mathrm{cos}\:\mathrm{4x}}}\:\:\:=\:\:\:? \\ $$$$\mathrm{Find}:\:\:\:\:\:\underset{\boldsymbol{\mathrm{x}}\rightarrow\boldsymbol{\pi}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{2}}\:\mid\:\mathrm{sin}\:\mathrm{6x}\:\mid}{\:\sqrt{\mathrm{1}\:−\:\mathrm{cos}\:\mathrm{6x}}}\:\:\:=\:\:\:? \\ $$

Question Number 189756 Answers: 0 Comments: 0

Question Number 189755 Answers: 0 Comments: 0

Question Number 189754 Answers: 0 Comments: 0

Question Number 189753 Answers: 0 Comments: 0

Question Number 189748 Answers: 2 Comments: 2

x−(√x)+1=0 x=??

$$ \\ $$$$\:\:\:\:\:\boldsymbol{{x}}−\sqrt{\boldsymbol{{x}}}+\mathrm{1}=\mathrm{0} \\ $$$$\:\:\:\:\:\:\boldsymbol{{x}}=?? \\ $$

Question Number 189747 Answers: 0 Comments: 0

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