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AllQuestion and Answers: Page 613

Question Number 148221 Answers: 1 Comments: 0

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

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

Question Number 148216 Answers: 0 Comments: 0

Question Number 148213 Answers: 1 Comments: 0

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

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

Question Number 148211 Answers: 1 Comments: 0

Question Number 148207 Answers: 0 Comments: 1

any book on lucas and fibonacci sequence?

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

Question Number 148206 Answers: 0 Comments: 0

Question Number 148205 Answers: 0 Comments: 0

Question Number 148204 Answers: 0 Comments: 0

Question Number 148203 Answers: 2 Comments: 0

Σ_(n=1) ^∞ ((8/(n^2 +n)))=?

$$\:\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(\frac{\mathrm{8}}{{n}^{\mathrm{2}} +{n}}\right)=? \\ $$

Question Number 148193 Answers: 0 Comments: 0

Question Number 148189 Answers: 1 Comments: 1

Question Number 148174 Answers: 2 Comments: 0

find the residue of f(z)=((sin(z))/(cos(z^3 )−1))

$${find}\:{the}\:{residue}\:{of}\:\:{f}\left({z}\right)=\frac{{sin}\left({z}\right)}{{cos}\left({z}^{\mathrm{3}} \right)−\mathrm{1}} \\ $$

Question Number 148171 Answers: 1 Comments: 1

Question Number 148170 Answers: 0 Comments: 0

Question Number 148157 Answers: 1 Comments: 0

Question Number 148155 Answers: 1 Comments: 0

Question Number 148154 Answers: 2 Comments: 0

(√(1! + 2! + 3! + ... + n!)) ∈ N n = ?

$$\sqrt{\mathrm{1}!\:+\:\mathrm{2}!\:+\:\mathrm{3}!\:+\:...\:+\:\boldsymbol{{n}}!}\:\:\in\:\mathbb{N} \\ $$$$\boldsymbol{{n}}\:=\:? \\ $$

Question Number 148151 Answers: 1 Comments: 0

Question Number 148137 Answers: 1 Comments: 0

∫ ((3cos^2 (x)+1)/(sin^5 (x)))dx = ???

$$\int\:\:\frac{\mathrm{3}{cos}^{\mathrm{2}} \left({x}\right)+\mathrm{1}}{{sin}^{\mathrm{5}} \left({x}\right)}{dx}\:=\:??? \\ $$

Question Number 148132 Answers: 1 Comments: 0

Question Number 148144 Answers: 0 Comments: 2

4^x +2x^2 =e^4 Find x

$$\: \\ $$$$\:\:\:\mathrm{4}^{{x}} +\mathrm{2}{x}^{\mathrm{2}} ={e}^{\mathrm{4}} \\ $$$$\:{Find}\:{x} \\ $$

Question Number 148128 Answers: 1 Comments: 0

∫ln(sin(x))dx

$$\int\mathrm{ln}\left(\mathrm{sin}\left(\mathrm{x}\right)\right)\mathrm{dx} \\ $$

Question Number 148118 Answers: 2 Comments: 0

Question Number 148113 Answers: 1 Comments: 0

Question Number 148112 Answers: 0 Comments: 0

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