Question and Answers Forum

AllQuestion and Answers: Page 1227

Question Number 92182 Answers: 0 Comments: 4

Question Number 92179 Answers: 0 Comments: 12

((x/(12)))^(log_(√3) x) =((x/(18)))^(log_(√2) x) find x

$$\left(\frac{\mathrm{x}}{\mathrm{12}}\right)^{\mathrm{log}_{\sqrt{\mathrm{3}}} \mathrm{x}} =\left(\frac{\mathrm{x}}{\mathrm{18}}\right)^{\mathrm{log}_{\sqrt{\mathrm{2}}} \mathrm{x}} \\ $$$$\mathrm{find}\:\mathrm{x} \\ $$

Question Number 92170 Answers: 0 Comments: 3

Question Number 92167 Answers: 1 Comments: 1

lim_(x→∞) x−x^2 ln (1+(1/x)) ?

$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{x}−\mathrm{x}^{\mathrm{2}} \mathrm{ln}\:\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{x}}\right)\:? \\ $$

Question Number 92193 Answers: 0 Comments: 2

−2345 (mod 6) −5400 ( mod 11)

$$−\mathrm{2345}\:\left(\mathrm{mod}\:\mathrm{6}\right)\: \\ $$$$−\mathrm{5400}\:\left(\:\mathrm{mod}\:\mathrm{11}\right)\: \\ $$

Question Number 92156 Answers: 0 Comments: 1

find ∫_0 ^1 xe^(−x^2 ) ln(1+x)dx

$${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:{xe}^{−{x}^{\mathrm{2}} } {ln}\left(\mathrm{1}+{x}\right){dx} \\ $$

Question Number 92151 Answers: 0 Comments: 1

If p and q are positive integers such that the value pq + 2p+2q = 217 find p+q

$$\mathrm{If}\:\mathrm{p}\:\mathrm{and}\:\mathrm{q}\:\mathrm{are}\:\mathrm{positive}\:\mathrm{integers}\: \\ $$$$\mathrm{such}\:\mathrm{that}\:\mathrm{the}\:\mathrm{value}\: \\ $$$$\mathrm{pq}\:+\:\mathrm{2p}+\mathrm{2q}\:=\:\mathrm{217}\: \\ $$$$\mathrm{find}\:\mathrm{p}+\mathrm{q}\: \\ $$

Question Number 92146 Answers: 1 Comments: 1

how do i find integers that satisfy x^2 −y^2 =2017

$${how}\:{do}\:{i}\:{find}\:{integers}\:{that}\:{satisfy} \\ $$$${x}^{\mathrm{2}} −{y}^{\mathrm{2}} =\mathrm{2017} \\ $$

Question Number 92143 Answers: 0 Comments: 1

fond∫((2x)/(1+x^2 ))dx

$${fond}\int\frac{\mathrm{2}{x}}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$

Question Number 92138 Answers: 2 Comments: 0

∫(dx/(1+x^2 ))

$$\int\frac{{dx}}{\mathrm{1}+{x}^{\mathrm{2}} } \\ $$

Question Number 92137 Answers: 0 Comments: 2

∫((2x)/(1+x))

$$\int\frac{\mathrm{2}{x}}{\mathrm{1}+{x}} \\ $$

Question Number 92135 Answers: 0 Comments: 5

a^x = log _a (x) a=?

$${a}^{{x}} \:=\:\mathrm{log}\:_{{a}} \:\left({x}\right) \\ $$$${a}=? \\ $$

Question Number 92134 Answers: 0 Comments: 1

find ∫_(−1) ^1 (e^x /(√(1−x^2 )))dx

$${find}\:\int_{−\mathrm{1}} ^{\mathrm{1}} \:\frac{{e}^{{x}} }{\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}{dx}\: \\ $$

Question Number 92133 Answers: 0 Comments: 0

1) decompose F(x) =(1/(x^5 −1)) 2) calculate ∫_2 ^(+∞) (dx/(x^5 −1))

$$\left.\mathrm{1}\right)\:{decompose}\:{F}\left({x}\right)\:=\frac{\mathrm{1}}{{x}^{\mathrm{5}} −\mathrm{1}} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{2}} ^{+\infty} \:\frac{{dx}}{{x}^{\mathrm{5}} −\mathrm{1}} \\ $$

Question Number 92126 Answers: 0 Comments: 0

∫ (√((x^2 +2x−1)/(x+1))) dx

$$\int\:\sqrt{\frac{{x}^{\mathrm{2}} +\mathrm{2}{x}−\mathrm{1}}{{x}+\mathrm{1}}}\:{dx}\: \\ $$

Question Number 92120 Answers: 0 Comments: 0

∫_(−3) ^4 ⌊x.⌈x^2 ⌉⌋ dx

$$\int_{−\mathrm{3}} ^{\mathrm{4}} \lfloor{x}.\lceil{x}^{\mathrm{2}} \rceil\rfloor\:{dx} \\ $$

Question Number 92119 Answers: 0 Comments: 3

show that ∫_1 ^∞ (1/(⌊x⌋^2 ))dx=∫_0 ^1 ∫_0 ^1 ((dx dy)/(1−xy))

$${show}\:{that}\: \\ $$$$\int_{\mathrm{1}} ^{\infty} \frac{\mathrm{1}}{\lfloor{x}\rfloor^{\mathrm{2}} }{dx}=\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \frac{{dx}\:{dy}}{\mathrm{1}−{xy}} \\ $$

Question Number 92118 Answers: 1 Comments: 3

If 9^(2x+1 ) = ((81^(x−2) )/(3x)) . find x

$$\mathrm{If}\:\:\mathrm{9}^{\mathrm{2x}+\mathrm{1}\:\:\:} =\:\:\frac{\mathrm{81}^{\mathrm{x}−\mathrm{2}} }{\mathrm{3x}}\:\:.\:\:\:\:\:\:\:\:\:\:\:\mathrm{find}\:\mathrm{x} \\ $$

Question Number 92117 Answers: 0 Comments: 3

solve for x and y if: (√x)+y=11 and x+(√y)=7

$$\mathrm{solve}\:\mathrm{for}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:\mathrm{if}: \\ $$$$\sqrt{\mathrm{x}}+\mathrm{y}=\mathrm{11}\:\:\:\:\mathrm{and}\:\:\:\:\mathrm{x}+\sqrt{\mathrm{y}}=\mathrm{7} \\ $$

Question Number 92116 Answers: 0 Comments: 0

what is the super hexagon?

$${what}\:{is}\:{the}\:{super}\:{hexagon}? \\ $$

Question Number 92115 Answers: 1 Comments: 0

Question Number 92114 Answers: 1 Comments: 0

Question Number 92102 Answers: 2 Comments: 3

how can we factorize x^5 −1 ?

$${how}\:{can}\:{we}\:{factorize}\:\:\:{x}^{\mathrm{5}} −\mathrm{1}\:\:? \\ $$

Question Number 92089 Answers: 0 Comments: 0

calculate ∫_0 ^(π/4) ln(cosx+sinx)dx

$${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} {ln}\left({cosx}+{sinx}\right){dx} \\ $$

Question Number 92088 Answers: 0 Comments: 0

calculate ∫_0 ^(π/4) ln(cosx) and ∫_0 ^(π/4) ln(sinx)dx

$${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} {ln}\left({cosx}\right)\:\:{and}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:{ln}\left({sinx}\right){dx} \\ $$

Question Number 92087 Answers: 0 Comments: 1

calculate ∫_0 ^1 ((ln(1+x^2 ))/(1+x))dx

$$\:{calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{\mathrm{1}+{x}}{dx} \\ $$

Pg 1222 Pg 1223 Pg 1224 Pg 1225 Pg 1226 Pg 1227 Pg 1228 Pg 1229 Pg 1230 Pg 1231

Contact: info@tinkutara.com