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AllQuestion and Answers: Page 1144

Question Number 103021 Answers: 2 Comments: 0

Question Number 103016 Answers: 0 Comments: 0

Question Number 103073 Answers: 1 Comments: 0

I want to write ∫_0 ^(a+ib) f(x)dx but with the form α+iβ How write that? Sorry for my bad english

$$\mathrm{I}\:\mathrm{want}\:\mathrm{to}\:\mathrm{write} \\ $$$$\int_{\mathrm{0}} ^{{a}+{ib}} {f}\left({x}\right)\mathrm{d}{x} \\ $$$$\mathrm{but}\:\mathrm{with}\:\mathrm{the}\:\mathrm{form} \\ $$$$\alpha+{i}\beta \\ $$$$\mathrm{How}\:\mathrm{write}\:\mathrm{that}? \\ $$$$\mathrm{Sorry}\:\mathrm{for}\:\mathrm{my}\:\mathrm{bad} \\ $$$$\mathrm{english} \\ $$

Question Number 103072 Answers: 1 Comments: 9

Question Number 103014 Answers: 2 Comments: 0

y′′ −y = (e^x /(e^x + e^(−x) )) .

$${y}''\:−{y}\:=\:\frac{{e}^{{x}} }{{e}^{{x}} \:+\:{e}^{−{x}} }\:. \\ $$

Question Number 103009 Answers: 2 Comments: 0

(D^2 −4D+4)y = x^3 e^(2x)

$$\left({D}^{\mathrm{2}} −\mathrm{4}{D}+\mathrm{4}\right){y}\:=\:{x}^{\mathrm{3}} {e}^{\mathrm{2}{x}} \: \\ $$

Question Number 103008 Answers: 2 Comments: 0

(dy/dx) − y.tan x = e^x .sec x

$$\frac{{dy}}{{dx}}\:−\:{y}.\mathrm{tan}\:{x}\:=\:{e}^{{x}} .\mathrm{sec}\:{x} \\ $$

Question Number 103004 Answers: 0 Comments: 0

Question Number 103001 Answers: 2 Comments: 0

Question Number 102991 Answers: 1 Comments: 0

Question Number 102987 Answers: 2 Comments: 0

lim_(x→0) ((x^2 sin (x^(−4) ))/x) ?

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{x}^{\mathrm{2}} \:\mathrm{sin}\:\left({x}^{−\mathrm{4}} \right)}{{x}}\:?\: \\ $$

Question Number 102985 Answers: 2 Comments: 0

Question Number 103859 Answers: 1 Comments: 0

solve : y^2 + x^2 = −sin(θ) ., (π/2)≥ θ≥−(π/2)

$$\:\:\: \\ $$$$\:\:\:\:\:\:{solve}\:: \\ $$$$\:\:\:\:\:\:{y}^{\mathrm{2}} \:+\:{x}^{\mathrm{2}} \:=\:−\mathrm{sin}\left(\theta\right)\:\:\:\:\:.,\:\:\:\:\frac{\pi}{\mathrm{2}}\geqslant\:\theta\geqslant−\frac{\pi}{\mathrm{2}} \\ $$

Question Number 103093 Answers: 5 Comments: 0

solve for x,y∈N (1/x)+(1/y)=(3/(202))

$${solve}\:{for}\:{x},{y}\in\mathbb{N} \\ $$$$\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{{y}}=\frac{\mathrm{3}}{\mathrm{202}} \\ $$

Question Number 102980 Answers: 1 Comments: 6

Question Number 102978 Answers: 2 Comments: 1

Question Number 102975 Answers: 0 Comments: 1

A student can recall 6 digits of a 9 digit number. In how many ways can he get the complete number?

$$\mathrm{A}\:\mathrm{student}\:\mathrm{can}\:\mathrm{recall}\:\mathrm{6}\:\mathrm{digits}\:\mathrm{of}\:\mathrm{a}\:\mathrm{9}\:\mathrm{digit}\:\mathrm{number}. \\ $$$$\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{he}\:\mathrm{get}\:\mathrm{the}\:\mathrm{complete}\:\mathrm{number}? \\ $$

Question Number 102967 Answers: 1 Comments: 0

Question Number 102944 Answers: 0 Comments: 5

Question Number 102940 Answers: 0 Comments: 1

Question Number 102927 Answers: 3 Comments: 1

If (x/(x^2 + x + 1)) = (1/4) Find x + (1/x)

$$\mathrm{If}\:\:\:\frac{\mathrm{x}}{\mathrm{x}^{\mathrm{2}} \:\:+\:\:\mathrm{x}\:\:+\:\:\mathrm{1}}\:\:\:=\:\:\frac{\mathrm{1}}{\mathrm{4}} \\ $$$$\mathrm{Find}\:\:\:\:\:\mathrm{x}\:\:+\:\:\frac{\mathrm{1}}{\mathrm{x}} \\ $$

Question Number 102926 Answers: 3 Comments: 0

∫ (dθ/(2sin^2 θ−cos^2 θ)) ?

$$\:\int\:\frac{{d}\theta}{\mathrm{2}{sin}^{\mathrm{2}} \theta−{cos}^{\mathrm{2}} \theta}\:\:? \\ $$

Question Number 102922 Answers: 1 Comments: 1

∫ (dx/(x^3 +3x−5)) ?

$$\int\:\frac{{dx}}{{x}^{\mathrm{3}} +\mathrm{3}{x}−\mathrm{5}}\:\:? \\ $$

Question Number 103071 Answers: 0 Comments: 0

∫(e^x /((1+x^2 )^2 ))∙(x^3 −x^2 +x+1)dx

$$\int\frac{\mathrm{e}^{\mathrm{x}} }{\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{2}} }\centerdot\left(\mathrm{x}^{\mathrm{3}} −\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}\right)\mathrm{dx} \\ $$

Question Number 102918 Answers: 1 Comments: 2

Question Number 102911 Answers: 2 Comments: 1

∫ ((sin(x))/x) dx

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

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