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AllQuestion and Answers: Page 245

Question Number 195490    Answers: 0   Comments: 2

Question Number 195484    Answers: 1   Comments: 0

Question Number 195470    Answers: 2   Comments: 0

Question Number 195468    Answers: 1   Comments: 0

∫((x^5 +x^2 )/((x^6 +2x^3 )^7 ))dx

$$\int\frac{{x}^{\mathrm{5}} +{x}^{\mathrm{2}} }{\left({x}^{\mathrm{6}} +\mathrm{2}{x}^{\mathrm{3}} \right)^{\mathrm{7}} }{dx} \\ $$

Question Number 195446    Answers: 1   Comments: 0

Question Number 195443    Answers: 2   Comments: 0

10^(10) +10^(10^2 ) +10^(10^3 ) +...+10^(10^(10) ) ≡^7 ?

$$\mathrm{10}^{\mathrm{10}} +\mathrm{10}^{\mathrm{10}^{\mathrm{2}} } +\mathrm{10}^{\mathrm{10}^{\mathrm{3}} } +...+\mathrm{10}^{\mathrm{10}^{\mathrm{10}} } \:\:\overset{\mathrm{7}} {\equiv}\:\:? \\ $$

Question Number 195436    Answers: 1   Comments: 0

Σ_(n=0) ^∞ (((−a)^(−n) )/((n+2)^2 ))(𝛙(((n+4)/2))−𝛙(((n+3)/2)))=???

$$\underset{\boldsymbol{\mathrm{n}}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\left(−\boldsymbol{\mathrm{a}}\right)^{−\boldsymbol{\mathrm{n}}} }{\left(\boldsymbol{\mathrm{n}}+\mathrm{2}\right)^{\mathrm{2}} }\left(\boldsymbol{\psi}\left(\frac{\boldsymbol{\mathrm{n}}+\mathrm{4}}{\mathrm{2}}\right)−\boldsymbol{\psi}\left(\frac{{n}+\mathrm{3}}{\mathrm{2}}\right)\right)=??? \\ $$

Question Number 195435    Answers: 2   Comments: 0

(√(5+1(√(6+2(√(7+3(√(8+4(√(...)))))))))) = ?

$$\sqrt{\mathrm{5}+\mathrm{1}\sqrt{\mathrm{6}+\mathrm{2}\sqrt{\mathrm{7}+\mathrm{3}\sqrt{\mathrm{8}+\mathrm{4}\sqrt{...}}}}}\:\:=\:\:\:? \\ $$

Question Number 195433    Answers: 1   Comments: 0

Question Number 195428    Answers: 2   Comments: 0

3^a =7^b =441 ((ab)/(a+b))=?

$$\mathrm{3}^{{a}} =\mathrm{7}^{{b}} =\mathrm{441} \\ $$$$\frac{{ab}}{{a}+{b}}=? \\ $$

Question Number 195421    Answers: 4   Comments: 0

Calculate. ∫_0 ^( ∞) ((sin(z))/(z(z^2 +1)))dz method 1. using Laplace Transform. method 2. using Contour Integral. method 3. using Feymann′s parametirc trick HELP!!!!!!!

$$\mathrm{Calculate}.\:\:\int_{\mathrm{0}} ^{\:\infty} \:\:\frac{\mathrm{sin}\left({z}\right)}{{z}\left({z}^{\mathrm{2}} +\mathrm{1}\right)}\mathrm{d}{z} \\ $$$$\mathrm{method}\:\mathrm{1}.\:\mathrm{using}\:\mathrm{Laplace}\:\mathrm{Transform}. \\ $$$$\mathrm{method}\:\mathrm{2}.\:\mathrm{using}\:\mathrm{Contour}\:\mathrm{Integral}. \\ $$$$\mathrm{method}\:\mathrm{3}.\:\mathrm{using}\:\mathrm{Feymann}'\mathrm{s}\:\mathrm{parametirc}\:\mathrm{trick} \\ $$$$\mathrm{HELP}!!!!!!! \\ $$

Question Number 195419    Answers: 1   Comments: 0

x≠0. Σ_(i=1) ^n ix^(i−1) =?

$${x}\neq\mathrm{0}.\:\underset{{i}=\mathrm{1}} {\overset{{n}} {\sum}}{ix}^{{i}−\mathrm{1}} =? \\ $$

Question Number 195416    Answers: 1   Comments: 0

Question Number 195415    Answers: 1   Comments: 0

Question Number 195414    Answers: 1   Comments: 0

x^n +(1/x^n )=¿

$${x}^{{n}} +\frac{\mathrm{1}}{{x}^{{n}} }=¿ \\ $$

Question Number 195413    Answers: 0   Comments: 5

Question Number 195412    Answers: 2   Comments: 0

Question Number 195411    Answers: 1   Comments: 0

Question Number 195407    Answers: 2   Comments: 0

f′(2)=g′(2)=g(2)=2 then find the (fog)′(2)=?

$$\mathrm{f}'\left(\mathrm{2}\right)=\mathrm{g}'\left(\mathrm{2}\right)=\mathrm{g}\left(\mathrm{2}\right)=\mathrm{2} \\ $$$$\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\left(\mathrm{fog}\right)'\left(\mathrm{2}\right)=? \\ $$

Question Number 195404    Answers: 1   Comments: 0

Question Number 195401    Answers: 1   Comments: 0

calcu_⇓_⇓ late lim_( x→(π/2)) ( sin(x ))^( tan^( 2) (x )) = ? determinant ((),())

$$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{calc}\underset{\underset{\Downarrow} {\Downarrow}} {\mathrm{u}late} \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{lim}_{\:\mathrm{x}\rightarrow\frac{\pi}{\mathrm{2}}} \:\left(\:\:\mathrm{sin}\left(\mathrm{x}\:\right)\right)^{\:\mathrm{tan}^{\:\mathrm{2}} \left(\mathrm{x}\:\right)} \:\:\:\:=\:?\:\:\:\:\:\:\:\:\begin{array}{|c|c|}\\\\\hline\end{array} \\ $$$$ \\ $$$$ \\ $$

Question Number 195385    Answers: 1   Comments: 0

lim_(x⇒a^+ ) (((√x) −(√a) −(√(x−a)))/( (√(x^2 −a^2 )))) ; a > 0

$$ \\ $$$$ \\ $$$$\mathrm{lim}_{{x}\Rightarrow\mathrm{a}^{+} } \:\:\:\:\frac{\sqrt{{x}}\:−\sqrt{\mathrm{a}}\:−\sqrt{{x}−\mathrm{a}}}{\:\sqrt{{x}^{\mathrm{2}} −\mathrm{a}^{\mathrm{2}} }}\:\:;\:\:\mathrm{a}\:>\:\mathrm{0} \\ $$

Question Number 195377    Answers: 0   Comments: 0

Question Number 195390    Answers: 1   Comments: 0

which prime number between the 20 and 1000

$${which}\:{prime}\:{number}\:{between} \\ $$$${the}\:\:\mathrm{20}\:\:{and}\:\:\:\:\mathrm{1000}\:\:\: \\ $$

Question Number 195391    Answers: 2   Comments: 0

f^2 (x)+2f(x)=x^2 −8x+15 f(x)=?

$${f}^{\mathrm{2}} \left({x}\right)+\mathrm{2}{f}\left({x}\right)={x}^{\mathrm{2}} −\mathrm{8}{x}+\mathrm{15} \\ $$$${f}\left({x}\right)=? \\ $$

Question Number 195370    Answers: 0   Comments: 0

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