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Question Number 146408 Answers: 3 Comments: 3

find 3x≊4( mod 5)

$${find}\:\mathrm{3}{x}\approxeq\mathrm{4}\left(\:{mod}\:\mathrm{5}\right) \\ $$

Question Number 146404 Answers: 1 Comments: 1

trigonometry

$$\:\mathrm{trigonometry} \\ $$

Question Number 146403 Answers: 0 Comments: 1

let f(x,y)=((x^5 y^2 )/(10)) then find D_u f(−5,−3) in the direction of the vector <0,−2>?

$${let}\:{f}\left({x},{y}\right)=\frac{{x}^{\mathrm{5}} {y}^{\mathrm{2}} }{\mathrm{10}}\:{then}\:{find}\: \\ $$$${D}_{{u}} {f}\left(−\mathrm{5},−\mathrm{3}\right)\:{in}\:{the}\:{direction}\:{of}\: \\ $$$${the}\:{vector}\:<\mathrm{0},−\mathrm{2}>? \\ $$

Question Number 146401 Answers: 0 Comments: 1

(dy/dx)(x!)

$$\frac{{dy}}{{dx}}\left({x}!\right) \\ $$

Question Number 146386 Answers: 2 Comments: 0

if (8/(3^x + 2^(−x) )) = ((27)/(3^(−x) + 2^x )) find 2x+1=?

$${if}\:\:\:\frac{\mathrm{8}}{\mathrm{3}^{\boldsymbol{{x}}} \:+\:\mathrm{2}^{−\boldsymbol{{x}}} }\:=\:\frac{\mathrm{27}}{\mathrm{3}^{−\boldsymbol{{x}}} \:+\:\mathrm{2}^{\boldsymbol{{x}}} } \\ $$$${find}\:\:\:\mathrm{2}{x}+\mathrm{1}=? \\ $$

Question Number 146377 Answers: 0 Comments: 4

Determine all pairs of real numbers (a;b) such that: a^6 −b^4 =b^6 −a^4 =4

$${Determine}\:{all}\:{pairs}\:{of}\:{real}\:{numbers} \\ $$$$\left({a};{b}\right)\:{such}\:{that}: \\ $$$${a}^{\mathrm{6}} −{b}^{\mathrm{4}} ={b}^{\mathrm{6}} −{a}^{\mathrm{4}} =\mathrm{4} \\ $$

Question Number 146376 Answers: 1 Comments: 0

lim_(x→0) ((1−cos x cos 2x cos 3x... cos px)/x^2 ) =?

$$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}−\mathrm{cos}\:\mathrm{x}\:\mathrm{cos}\:\mathrm{2x}\:\mathrm{cos}\:\mathrm{3x}...\:\mathrm{cos}\:\mathrm{px}}{\mathrm{x}^{\mathrm{2}} }\:=? \\ $$

Question Number 146371 Answers: 3 Comments: 0

∫_0 ^π (1/(1+cos^2 x))dx=......???

$$\int_{\mathrm{0}} ^{\pi} \frac{\mathrm{1}}{\mathrm{1}+{cos}^{\mathrm{2}} {x}}{dx}=......??? \\ $$

Question Number 146363 Answers: 1 Comments: 0

find ∫_(−i) ^(1+i) (x^2 −iy)dz along y=x^3

$$\mathrm{find}\:\int_{−\mathrm{i}} ^{\mathrm{1}+\mathrm{i}} \left(\mathrm{x}^{\mathrm{2}} −\mathrm{iy}\right)\mathrm{dz}\:\:\mathrm{along}\:\:\mathrm{y}=\mathrm{x}^{\mathrm{3}} \\ $$

Question Number 146361 Answers: 2 Comments: 0

find ∫(1/(x^n +1))dx for n∈N

$${find}\:\int\frac{\mathrm{1}}{{x}^{{n}} +\mathrm{1}}{dx}\:{for}\:{n}\in{N} \\ $$

Question Number 146355 Answers: 1 Comments: 0

If 3^4^2^x = 81^2^6 then (√(x^2 +5)) =?

$$\:\mathrm{If}\:\mathrm{3}^{\mathrm{4}^{\mathrm{2}^{{x}} } } =\:\mathrm{81}^{\mathrm{2}^{\mathrm{6}} } \:\mathrm{then}\:\sqrt{{x}^{\mathrm{2}} +\mathrm{5}}\:=? \\ $$

Question Number 146353 Answers: 0 Comments: 0

Question Number 146532 Answers: 2 Comments: 0

2^x = 5 , 3^y = 9 and 25^z = 8 find (x∙y∙z)=?

$$\mathrm{2}^{\boldsymbol{{x}}} \:=\:\mathrm{5}\:\:,\:\:\mathrm{3}^{\boldsymbol{{y}}} \:=\:\mathrm{9}\:\:{and}\:\:\mathrm{25}^{\boldsymbol{{z}}} \:=\:\mathrm{8} \\ $$$${find}\:\:\:\left({x}\centerdot{y}\centerdot{z}\right)=? \\ $$

Question Number 146334 Answers: 5 Comments: 1

Question Number 146328 Answers: 1 Comments: 0

Question Number 146325 Answers: 1 Comments: 0

Given that (a+b)=(√(3(√3)−(√2))) and (a−b)=(√(3(√2)−(√3))) Find (i) ab (ii) a^2 +b^2

$${Given}\:{that}\:\left({a}+{b}\right)=\sqrt{\mathrm{3}\sqrt{\mathrm{3}}−\sqrt{\mathrm{2}}} \\ $$$${and}\:\left({a}−{b}\right)=\sqrt{\mathrm{3}\sqrt{\mathrm{2}}−\sqrt{\mathrm{3}}} \\ $$$${Find} \\ $$$$\left({i}\right)\:{ab}\:\:\:\:\:\:\left({ii}\right)\:{a}^{\mathrm{2}} +{b}^{\mathrm{2}} \\ $$

Question Number 146315 Answers: 1 Comments: 0

Question Number 147334 Answers: 1 Comments: 1

If log_6 30 = a, log_(15) 24 = b, evaluate: log_(12) 60

$$\mathrm{If}\:\:\:\:\mathrm{log}_{\mathrm{6}} \mathrm{30}\:\:\:=\:\:\:\mathrm{a},\:\:\:\:\:\:\:\:\:\mathrm{log}_{\mathrm{15}} \mathrm{24}\:\:\:=\:\:\:\mathrm{b},\:\:\:\:\:\:\:\:\:\:\:\mathrm{evaluate}:\:\:\:\mathrm{log}_{\mathrm{12}} \mathrm{60} \\ $$

Question Number 146311 Answers: 0 Comments: 3

lg^2 (10x) + lg(x) + 1 = 6 - lg(x) ⇒ x=?

$${lg}^{\mathrm{2}} \left(\mathrm{10}{x}\right)\:+\:{lg}\left({x}\right)\:+\:\mathrm{1}\:=\:\mathrm{6}\:-\:{lg}\left({x}\right) \\ $$$$\Rightarrow\:{x}=? \\ $$

Question Number 146310 Answers: 1 Comments: 3

4 sin(x) cos(x) ≥ (√3)

$$\mathrm{4}\:{sin}\left({x}\right)\:{cos}\left({x}\right)\:\geqslant\:\sqrt{\mathrm{3}} \\ $$

Question Number 146307 Answers: 1 Comments: 0

S_n =Σ_(k=1) ^n (( 1)/(k (k+2)k+4))) lim_( n→∞) ( S_( n) ) = ?

$$ \\ $$$$\:\:\:\:\:\:\:\mathrm{S}_{{n}} \:=\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\:\mathrm{1}}{\left.{k}\:\left({k}+\mathrm{2}\right){k}+\mathrm{4}\right)} \\ $$$$\:\:\:\:\:\:\:\:{lim}_{\:{n}\rightarrow\infty} \:\left(\:\:\mathrm{S}_{\:{n}} \:\right)\:=\:? \\ $$

Question Number 146303 Answers: 2 Comments: 4

Question Number 146300 Answers: 1 Comments: 0

Question Number 146290 Answers: 0 Comments: 5

Question Number 146285 Answers: 3 Comments: 2

∫ sin(2x - (π/4)) dx = ?

$$\int\:{sin}\left(\mathrm{2}{x}\:-\:\frac{\pi}{\mathrm{4}}\right)\:{dx}\:=\:? \\ $$

Question Number 146277 Answers: 1 Comments: 0

∫cos(2x)dx=?

$$\int{cos}\left(\mathrm{2}{x}\right){dx}=? \\ $$

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