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AllQuestion and Answers: Page 1156

Question Number 93727 Answers: 0 Comments: 4

what is saw function?

$${what}\:{is}\:{saw}\:{function}? \\ $$

Question Number 93726 Answers: 0 Comments: 1

find the value in sexagesimal numeral system 3° × 15°=? 3 × 15°=?

$${find}\:{the}\:{value}\:{in}\:{sexagesimal}\:{numeral} \\ $$$${system} \\ $$$$\mathrm{3}°\:×\:\mathrm{15}°=? \\ $$$$\mathrm{3}\:×\:\mathrm{15}°=? \\ $$

Question Number 93725 Answers: 2 Comments: 0

Question Number 93724 Answers: 0 Comments: 0

∫_0 ^∞ ((x(√(e^x −1)))/(1−2cosh(x)))dx

$$\int_{\mathrm{0}} ^{\infty} \frac{{x}\sqrt{{e}^{{x}} −\mathrm{1}}}{\mathrm{1}−\mathrm{2}{cosh}\left({x}\right)}{dx} \\ $$

Question Number 93695 Answers: 2 Comments: 1

Question Number 93707 Answers: 0 Comments: 2

y y′′ = (y′)^2

$$\mathrm{y}\:\mathrm{y}''\:=\:\left(\mathrm{y}'\right)^{\mathrm{2}} \: \\ $$

Question Number 93691 Answers: 1 Comments: 3

If Σ_(i = 1) ^(10) (x_i +4) = 60 then find the value of x^ .

$$\boldsymbol{\mathrm{If}}\:\underset{\boldsymbol{{i}}\:=\:\mathrm{1}} {\overset{\mathrm{10}} {\sum}}\left(\boldsymbol{\mathrm{x}}_{\mathrm{i}} +\mathrm{4}\right)\:=\:\mathrm{60}\:\:\boldsymbol{\mathrm{then}}\:\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{value}}\:\boldsymbol{\mathrm{of}}\:\bar {\boldsymbol{{x}}}. \\ $$

Question Number 93689 Answers: 0 Comments: 1

simply:(((cos2Θ−isin2Θ)^7 (cos3Θ+isin3Θ)^(−5) )/((cos4Θ+isin4Θ)^(12) (cos5Θ−isin5Θ)^(−6) ))

$${simply}:\frac{\left({cos}\mathrm{2}\Theta−\boldsymbol{{i}}{sin}\mathrm{2}\Theta\right)^{\mathrm{7}} \left({cos}\mathrm{3}\Theta+\boldsymbol{{i}}{sin}\mathrm{3}\Theta\right)^{−\mathrm{5}} }{\left({cos}\mathrm{4}\Theta+\boldsymbol{{i}}{sin}\mathrm{4}\Theta\right)^{\mathrm{12}} \left({cos}\mathrm{5}\Theta−\boldsymbol{{i}}{sin}\mathrm{5}\Theta\right)^{−\mathrm{6}} } \\ $$

Question Number 93687 Answers: 0 Comments: 1

If a and b are roots of the eqn x^(2 ) +x=1111111122222222 Find the value of a−b.

$$\mathrm{If}\:{a}\:\mathrm{and}\:{b}\:\mathrm{are}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{eqn} \\ $$$$\:\mathrm{x}^{\mathrm{2}\:} +\mathrm{x}=\mathrm{1111111122222222} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{a}−{b}. \\ $$

Question Number 93717 Answers: 1 Comments: 0

Question Number 93683 Answers: 1 Comments: 0

∫ (t^2 i +cos 2tj +e^(−t) k) dt

$$\int\:\left(\mathrm{t}^{\mathrm{2}} \boldsymbol{\mathrm{i}}\:+\mathrm{cos}\:\mathrm{2t}\boldsymbol{\mathrm{j}}\:+\mathrm{e}^{−\mathrm{t}} \boldsymbol{\mathrm{k}}\right)\:\mathrm{dt}\: \\ $$

Question Number 93676 Answers: 1 Comments: 1

solve without L′Hopital lim_(x→0) ((5(√(x+1))−2(√(x+4))−1)/x) ?

$$\mathrm{solve}\:\mathrm{without}\:\mathrm{L}'\mathrm{Hopital} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{5}\sqrt{\mathrm{x}+\mathrm{1}}−\mathrm{2}\sqrt{\mathrm{x}+\mathrm{4}}−\mathrm{1}}{\mathrm{x}}\:? \\ $$

Question Number 93648 Answers: 2 Comments: 0

lim_(x→0) ((1−sin 2x)/x^3 ) ?

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}−\mathrm{sin}\:\mathrm{2x}}{\mathrm{x}^{\mathrm{3}} }\:? \\ $$

Question Number 93636 Answers: 0 Comments: 0

calcilate U_n =∫_0 ^∞ ((sin(nx))/(e^x −1))dx

$${calcilate}\:{U}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{{sin}\left({nx}\right)}{{e}^{{x}} −\mathrm{1}}{dx} \\ $$$$ \\ $$

Question Number 93635 Answers: 0 Comments: 0

calculate ∫_0 ^∞ ((xsin(πx))/(x^4 +4)) dx

$${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{xsin}\left(\pi{x}\right)}{{x}^{\mathrm{4}} \:+\mathrm{4}}\:{dx} \\ $$

Question Number 93634 Answers: 2 Comments: 2

calculate ∫_0 ^∞ (dx/(x^4 +x^2 +1))

$${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{dx}}{{x}^{\mathrm{4}} \:+{x}^{\mathrm{2}} \:+\mathrm{1}} \\ $$

Question Number 93633 Answers: 0 Comments: 1

calvulate ∫_0 ^∞ ((cos(πx))/(1+x^4 ))dx

$${calvulate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{cos}\left(\pi{x}\right)}{\mathrm{1}+{x}^{\mathrm{4}} }{dx} \\ $$

Question Number 93632 Answers: 2 Comments: 1

calculate ∫_(−∞) ^(+∞) ((x^2 −3)/((x^2 −x+1)^2 ))dx

$${calculate}\:\int_{−\infty} ^{+\infty} \:\frac{{x}^{\mathrm{2}} −\mathrm{3}}{\left({x}^{\mathrm{2}} −{x}+\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$

Question Number 93626 Answers: 1 Comments: 9

Question Number 93638 Answers: 2 Comments: 2

∫ ((x^4 +4x^2 )/(√(x^2 +4))) dx ?

$$\int\:\frac{{x}^{\mathrm{4}} +\mathrm{4}{x}^{\mathrm{2}} }{\sqrt{{x}^{\mathrm{2}} +\mathrm{4}}}\:{dx}\:?\: \\ $$

Question Number 93623 Answers: 0 Comments: 2

Question Number 93620 Answers: 1 Comments: 0

(3x+3y−4) (dy/dx) = x+y

$$\left(\mathrm{3x}+\mathrm{3y}−\mathrm{4}\right)\:\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\mathrm{x}+\mathrm{y}\: \\ $$

Question Number 93618 Answers: 0 Comments: 1

Question Number 93610 Answers: 1 Comments: 0

∫(((√(x^n +1))/x))dx

$$\int\left(\frac{\sqrt{\mathrm{x}^{\mathrm{n}} +\mathrm{1}}}{\mathrm{x}}\right)\mathrm{dx} \\ $$

Question Number 93587 Answers: 3 Comments: 0

∫((x+1)/(x^2 −((1+(√5))/2)x+1))dx

$$\int\frac{{x}+\mathrm{1}}{{x}^{\mathrm{2}} −\frac{\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{2}}{x}+\mathrm{1}}{dx} \\ $$

Question Number 93705 Answers: 0 Comments: 3

find real q so that x^4 −40x^2 +q = 0 has four real solution forming AP.

$$\mathrm{find}\:\mathrm{real}\:\mathrm{q}\:\mathrm{so}\:\mathrm{that}\:\mathrm{x}^{\mathrm{4}} −\mathrm{40x}^{\mathrm{2}} +\mathrm{q}\:=\:\mathrm{0} \\ $$$$\mathrm{has}\:\mathrm{four}\:\mathrm{real}\:\mathrm{solution}\:\mathrm{forming} \\ $$$$\mathrm{AP}.\: \\ $$

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