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AllQuestion and Answers: Page 114

Question Number 204398 Answers: 0 Comments: 0

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Question Number 204397 Answers: 3 Comments: 0

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Question Number 204389 Answers: 1 Comments: 0

Question Number 204374 Answers: 0 Comments: 1

Question Number 204373 Answers: 1 Comments: 0

3^x −2^x =65 x=?

$$\mathrm{3}^{{x}} −\mathrm{2}^{{x}} =\mathrm{65} \\ $$$${x}=? \\ $$

Question Number 204372 Answers: 2 Comments: 0

If , f : [ 0 , b] →^(continuous) R , g : R →_(b−periodic) ^(continuous) R ⇒ lim_(n→∞) ∫_0 ^( b) f(x)g(nx)dx=^? (1/b) ∫_0 ^( b) f(x)dx .∫_0 ^( b) g(x)dx

$$ \\ $$$$\:\:{If}\:,\:\:\:\:{f}\::\:\left[\:\mathrm{0}\:,\:{b}\right]\:\overset{{continuous}} {\rightarrow}\:\mathbb{R}\: \\ $$$$\:\:\:\:\:\:\:\:,\:\:\:\:{g}\::\:\mathbb{R}\:\underset{{b}−{periodic}} {\overset{{continuous}} {\rightarrow}}\:\mathbb{R} \\ $$$$\:\:\:\:\:\:\Rightarrow\:\:{lim}_{{n}\rightarrow\infty} \:\int_{\mathrm{0}} ^{\:{b}} {f}\left({x}\right){g}\left({nx}\right){dx}\overset{?} {=}\frac{\mathrm{1}}{{b}}\:\int_{\mathrm{0}} ^{\:{b}} {f}\left({x}\right){dx}\:.\int_{\mathrm{0}} ^{\:{b}} {g}\left({x}\right){dx} \\ $$$$ \\ $$

Question Number 204384 Answers: 0 Comments: 1

Question Number 204360 Answers: 3 Comments: 0

if lim_(x→+∞) [(((a+6)x+1)/(ax+1))]=2→ find the largest and smallest correct value for a.

$${if} \\ $$$$\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\left[\frac{\left({a}+\mathrm{6}\right){x}+\mathrm{1}}{{ax}+\mathrm{1}}\right]=\mathrm{2}\rightarrow \\ $$$${find}\:{the}\:{largest}\:{and}\:{smallest}\:{correct} \\ $$$${value}\:{for}\:{a}. \\ $$

Question Number 204350 Answers: 1 Comments: 0

Question Number 204349 Answers: 1 Comments: 2

Question Number 204348 Answers: 1 Comments: 0

3×7×11 + 7×11×15 + 11×15×19 + ..........+ 39×43×47 = ?

$$\mathrm{3}×\mathrm{7}×\mathrm{11}\:+\:\mathrm{7}×\mathrm{11}×\mathrm{15}\:+\:\mathrm{11}×\mathrm{15}×\mathrm{19}\:+\:..........+\:\:\mathrm{39}×\mathrm{43}×\mathrm{47}\:=\:?\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$

Question Number 204346 Answers: 0 Comments: 0

Question Number 204344 Answers: 1 Comments: 2

ctg^6 ((π/9))−9∙ctg^4 ((π/9))+11∙ctg^2 ((π/9))=?

$$ \\ $$$$\: \\ $$$$ \\ $$$$ \\ $$$$\:\:\:\boldsymbol{\mathrm{ctg}}^{\mathrm{6}} \left(\frac{\pi}{\mathrm{9}}\right)−\mathrm{9}\centerdot\boldsymbol{\mathrm{ctg}}^{\mathrm{4}} \left(\frac{\pi}{\mathrm{9}}\right)+\mathrm{11}\centerdot\boldsymbol{\mathrm{ctg}}^{\mathrm{2}} \left(\frac{\pi}{\mathrm{9}}\right)=?\:\:\:\:\:\:\:\:\: \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Question Number 204337 Answers: 1 Comments: 0

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Question Number 204329 Answers: 2 Comments: 0

solve (1/([x]))+(1/([2x]))={x}+(1/3)

$${solve}\:\frac{\mathrm{1}}{\left[{x}\right]}+\frac{\mathrm{1}}{\left[\mathrm{2}{x}\right]}=\left\{{x}\right\}+\frac{\mathrm{1}}{\mathrm{3}} \\ $$

Question Number 204328 Answers: 0 Comments: 1

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Question Number 204321 Answers: 0 Comments: 0

Question Number 204318 Answers: 1 Comments: 0

Question Number 204313 Answers: 1 Comments: 0

lim((3×^2 −8×−16)/(2×^2 9×+4))

$${lim}\frac{\mathrm{3}×^{\mathrm{2}} −\mathrm{8}×−\mathrm{16}}{\mathrm{2}×^{\mathrm{2}} \mathrm{9}×+\mathrm{4}} \\ $$$$ \\ $$

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