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AllQuestion and Answers: Page 704

Question Number 148278 Answers: 0 Comments: 0

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proof that the equation of a ellipse at a center(0.0)is (x^2 /a^2 )+(y^2 /b^2 )=1

$$\mathrm{proof}\:\mathrm{that}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{a}\:\mathrm{ellipse}\:\mathrm{at} \\ $$$$\mathrm{a}\:\mathrm{center}\left(\mathrm{0}.\mathrm{0}\right)\mathrm{is}\:\frac{\mathrm{x}^{\mathrm{2}} }{\mathrm{a}^{\mathrm{2}} }+\frac{\mathrm{y}^{\mathrm{2}} }{\mathrm{b}^{\mathrm{2}} }=\mathrm{1} \\ $$

Question Number 148262 Answers: 0 Comments: 0

if x>−1 ; [q]=n≥2 ; [∗]-GIF then: (1+x)^q ≥ (1+nx)(1+(q-n)x) ≥ 1+qx

$${if}\:\:{x}>−\mathrm{1}\:\:;\:\:\left[{q}\right]={n}\geqslant\mathrm{2}\:\:;\:\:\left[\ast\right]-{GIF}\:\:{then}: \\ $$$$\left(\mathrm{1}+{x}\right)^{\boldsymbol{{q}}} \:\geqslant\:\left(\mathrm{1}+{nx}\right)\left(\mathrm{1}+\left({q}-{n}\right){x}\right)\:\geqslant\:\mathrm{1}+{qx} \\ $$

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calculer la differentielle de y=log(x) teste: sachant que log(35)=1,54407, calculer log(3501) NB: on rappelle que (1/(log(10)))=log(e)=0,43429..

$${calculer}\:{la}\:{differentielle}\:{de}\: \\ $$$${y}={log}\left({x}\right) \\ $$$${teste}:\:{sachant}\:{que}\:{log}\left(\mathrm{35}\right)=\mathrm{1},\mathrm{54407}, \\ $$$${calculer}\:{log}\left(\mathrm{3501}\right) \\ $$$${NB}:\:{on}\:{rappelle}\:{que}\:\frac{\mathrm{1}}{{log}\left(\mathrm{10}\right)}={log}\left({e}\right)=\mathrm{0},\mathrm{43429}.. \\ $$

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f:x→((x^2 +x−1)/(x−1)) where x≠1 find the range of the function

$$\:{f}:{x}\rightarrow\frac{{x}^{\mathrm{2}} +{x}−\mathrm{1}}{{x}−\mathrm{1}}\:{where}\:{x}\neq\mathrm{1} \\ $$$$\:{find}\:{the}\:{range}\:{of}\:{the}\:{function} \\ $$

Question Number 148237 Answers: 1 Comments: 0

f(t)=sin(pt) fourier serie..

$${f}\left({t}\right)={sin}\left({pt}\right)\:{fourier}\:{serie}.. \\ $$

Question Number 148231 Answers: 0 Comments: 1

∫_0 ^1 x^dx =?

$$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{x}^{\mathrm{dx}} =? \\ $$

Question Number 148229 Answers: 1 Comments: 1

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Question Number 148219 Answers: 1 Comments: 0

The expansion of (1+px+qx^2 )^8 = 1+8x+52x^2 +kx^3 +... What are the values of p ,q and k

$$\mathrm{The}\:\mathrm{expansion}\:\mathrm{of}\:\left(\mathrm{1}+\mathrm{px}+\mathrm{qx}^{\mathrm{2}} \right)^{\mathrm{8}} \: \\ $$$$=\:\mathrm{1}+\mathrm{8x}+\mathrm{52x}^{\mathrm{2}} +\mathrm{kx}^{\mathrm{3}} +... \\ $$$$\mathrm{What}\:\mathrm{are}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:\mathrm{p}\:,\mathrm{q}\:\mathrm{and}\:\mathrm{k} \\ $$

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f(z)=((cosz)/(1−sin(z^2 ))) find residus of f

$$\mathrm{f}\left(\mathrm{z}\right)=\frac{\mathrm{cosz}}{\mathrm{1}−\mathrm{sin}\left(\mathrm{z}^{\mathrm{2}} \right)} \\ $$$$\mathrm{find}\:\mathrm{residus}\:\mathrm{of}\:\mathrm{f} \\ $$

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Question Number 148207 Answers: 0 Comments: 1

any book on lucas and fibonacci sequence?

$$\mathrm{any}\:\mathrm{book}\:\mathrm{on}\:\mathrm{lucas}\:\mathrm{and}\:\mathrm{fibonacci}\:\mathrm{sequence}? \\ $$

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