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Question Number 166280 Answers: 1 Comments: 0

Solve for the exact value of ∫_0 ^( ∞) sin(x^2 + x^(−2) ) dx

$$\:\mathrm{Solve}\:\mathrm{for}\:\mathrm{the}\:\mathrm{exact}\:\mathrm{value}\:\mathrm{of}\:\int_{\mathrm{0}} ^{\:\infty} \mathrm{sin}\left(\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{x}^{−\mathrm{2}} \right)\:\mathrm{dx} \\ $$

Question Number 166279 Answers: 0 Comments: 0

if y = x^x^x^x find y^′ ?

$${if}\:{y}\:=\:{x}^{{x}^{{x}^{{x}} } } \:{find}\:{y}^{'} \:? \\ $$

Question Number 166273 Answers: 2 Comments: 1

Question Number 166263 Answers: 1 Comments: 0

∫_( −(π/4)) ^( (π/4)) (dx/(cos^2 x (√(9+7 tan ∣x∣)))) dx =?

$$\:\:\:\:\:\:\int_{\:−\frac{\pi}{\mathrm{4}}} ^{\:\frac{\pi}{\mathrm{4}}} \frac{\mathrm{dx}}{\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}\:\sqrt{\mathrm{9}+\mathrm{7}\:\mathrm{tan}\:\mid\mathrm{x}\mid}}\:\mathrm{dx}\:=? \\ $$

Question Number 166301 Answers: 2 Comments: 0

∫(x/( (√(1+x^2 +(√((1+x^2 )^3 ))))))dx

$$\int\frac{{x}}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}} +\sqrt{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{3}} }}}{dx} \\ $$

Question Number 166261 Answers: 1 Comments: 1

If four men can dig a piece of land in 2days at eight hours everyday.How many days can two men dig in every six hours perday?

$${If}\:{four}\:{men}\:{can}\:{dig}\:{a}\:{piece}\:{of}\:{land}\:{in}\:\mathrm{2}{days}\:{at}\:{eight}\:{hours}\:{everyday}.{How}\:{many}\:{days}\:{can}\:{two}\:{men}\:{dig}\:{in}\:{every}\:{six}\:{hours}\:{perday}? \\ $$

Question Number 166254 Answers: 1 Comments: 0

Θ=Σ_(n=1) ^∞ (( H_( n) )/(n. (n+1 ))) =^? (π^( 2) /6) −−−−+

$$ \\ $$$$\:\:\:\:\Theta=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\:{H}_{\:{n}} }{{n}.\:\left({n}+\mathrm{1}\:\right)}\:\:\overset{?} {=}\:\frac{\pi^{\:\mathrm{2}} }{\mathrm{6}} \\ $$$$\:\:\:\:\:−−−−+ \\ $$

Question Number 166252 Answers: 1 Comments: 1

Question Number 166234 Answers: 0 Comments: 0

sin^(−1) (a/(2R))+sin^(−1) (b/(2R))+sin^(−1) (c/(2R))=(π/4) find R n terms of a,b,c.

$$\:\:\mathrm{sin}^{−\mathrm{1}} \frac{{a}}{\mathrm{2}{R}}+\mathrm{sin}^{−\mathrm{1}} \frac{{b}}{\mathrm{2}{R}}+\mathrm{sin}^{−\mathrm{1}} \frac{{c}}{\mathrm{2}{R}}=\frac{\pi}{\mathrm{4}} \\ $$$${find}\:{R}\:{n}\:{terms}\:{of}\:{a},{b},{c}. \\ $$

Question Number 166223 Answers: 0 Comments: 0

Question Number 166258 Answers: 0 Comments: 0

Question Number 166257 Answers: 1 Comments: 2

⌊x⌋⌊2x⌋⌊3x⌋= 6 x=?^

$$ \\ $$$$\:\:\:\lfloor{x}\rfloor\lfloor\mathrm{2}{x}\rfloor\lfloor\mathrm{3}{x}\rfloor=\:\mathrm{6} \\ $$$$\:\:\:\:\:\:\:{x}=\overset{} {?}\: \\ $$

Question Number 166212 Answers: 1 Comments: 0

x, y , z ∈R^( +) and x≥y≥z and x^2 +y^( 2) +z^( 2) ≥ 2xy +2xz+2yz Find Min((x/z) )=?

$$ \\ $$$$\:\:\:{x},\:{y}\:,\:{z}\:\in\mathbb{R}^{\:+} \:{and}\:\:{x}\geqslant{y}\geqslant{z} \\ $$$$\:\:\:\:{and}\:\: \\ $$$$\:\:\:\:{x}^{\mathrm{2}} +{y}^{\:\mathrm{2}} +{z}^{\:\mathrm{2}} \geqslant\:\mathrm{2}{xy}\:+\mathrm{2}{xz}+\mathrm{2}{yz} \\ $$$$\:\:\:\:\:\:\mathrm{F}{ind}\:\:\:\:\:\mathrm{M}{in}\left(\frac{{x}}{{z}}\:\right)=? \\ $$

Question Number 166210 Answers: 1 Comments: 0

Question Number 166208 Answers: 2 Comments: 1

Question Number 166246 Answers: 1 Comments: 0

Question Number 166195 Answers: 3 Comments: 0

Question Number 166192 Answers: 1 Comments: 0

∫ (dx/(5+4sin x)) =?

$$\:\:\:\:\int\:\frac{{dx}}{\mathrm{5}+\mathrm{4sin}\:{x}}\:=? \\ $$

Question Number 166191 Answers: 1 Comments: 0

∫^( (π/2)) _(−(π/2)) ((sin x)/(x^4 +x^2 +1)) dx=?

$$\:\:\:\:\:\:\:\underset{−\frac{\pi}{\mathrm{2}}} {\int}^{\:\frac{\pi}{\mathrm{2}}} \frac{\mathrm{sin}\:\mathrm{x}}{\mathrm{x}^{\mathrm{4}} +\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\:\mathrm{dx}=? \\ $$

Question Number 166186 Answers: 2 Comments: 0

if sinθ = (1/2) find cosθ

$${if}\:{sin}\theta\:=\:\frac{\mathrm{1}}{\mathrm{2}}\:{find}\:{cos}\theta \\ $$

Question Number 166182 Answers: 2 Comments: 0

calculer la primitive de ∫(t^2 /((1+t^2 )^2 ))dt

$${calculer}\:{la}\:{primitive}\:{de} \\ $$$$\int\frac{{t}^{\mathrm{2}} }{\left(\mathrm{1}+{t}^{\mathrm{2}} \right)^{\mathrm{2}} }{dt} \\ $$

Question Number 166181 Answers: 0 Comments: 0

Question Number 166177 Answers: 1 Comments: 0

help me please A cone 9 cm high and 8 cm in base diameter is filled with ice. a) vanilla for 2/5 of the height, b) chocolate for the remaining part 1. Calculate the volume of ice it contains. 2. Calculate the volume of the vanilla ice cream and the volume of the chocolate. By what fractions must the total volume of ice be multiplied to obtain these two volumes? The different volumes will be rounded to the nearest cm³.

$$ \\ $$help me please A cone 9 cm high and 8 cm in base diameter is filled with ice. a) vanilla for 2/5 of the height, b) chocolate for the remaining part 1. Calculate the volume of ice it contains. 2. Calculate the volume of the vanilla ice cream and the volume of the chocolate. By what fractions must the total volume of ice be multiplied to obtain these two volumes? The different volumes will be rounded to the nearest cm³.

Question Number 166176 Answers: 0 Comments: 0

Question Number 166170 Answers: 2 Comments: 0

tan(a+b)=(1/(17)) , tan(a−b)=((11)/(13)) tan2a=? tan2b=?

$${tan}\left({a}+{b}\right)=\frac{\mathrm{1}}{\mathrm{17}}\:\:\:,\:\:\:{tan}\left({a}−{b}\right)=\frac{\mathrm{11}}{\mathrm{13}} \\ $$$${tan}\mathrm{2}{a}=?\:\:\:\:\:\:{tan}\mathrm{2}{b}=? \\ $$

Question Number 166169 Answers: 1 Comments: 0

sin^7 (x)+(1/(sin^3 (x)))=cos^7 (x)+(1/(cos^3 (x)))

$$\:\:\mathrm{sin}^{\mathrm{7}} \left(\mathrm{x}\right)+\frac{\mathrm{1}}{\mathrm{sin}\:^{\mathrm{3}} \left(\mathrm{x}\right)}=\mathrm{cos}\:^{\mathrm{7}} \left(\mathrm{x}\right)+\frac{\mathrm{1}}{\mathrm{cos}\:^{\mathrm{3}} \left(\mathrm{x}\right)} \\ $$$$ \\ $$

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