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Question Number 169640 Answers: 0 Comments: 1

∫cos(x^7 )dx =

$$\int\mathrm{cos}\left({x}^{\mathrm{7}} \right){dx}\:= \\ $$

Question Number 169635 Answers: 1 Comments: 1

lim_(x→−3) (((√(x^2 +7))+(√(25−x^2 ))−8)/( (√(−3x))−6+(√(18+3x)))) =?

$$\:\:\:\underset{{x}\rightarrow−\mathrm{3}} {\mathrm{lim}}\:\frac{\sqrt{{x}^{\mathrm{2}} +\mathrm{7}}+\sqrt{\mathrm{25}−{x}^{\mathrm{2}} }−\mathrm{8}}{\:\sqrt{−\mathrm{3}{x}}−\mathrm{6}+\sqrt{\mathrm{18}+\mathrm{3}{x}}}\:=? \\ $$

Question Number 169631 Answers: 1 Comments: 4

Question Number 169620 Answers: 0 Comments: 3

Question Number 169626 Answers: 1 Comments: 0

Question Number 169613 Answers: 0 Comments: 3

Question Number 169612 Answers: 1 Comments: 0

Differentiate w.r.t ′x′ x^y +y^x =c Mastermind

$${Differentiate}\:{w}.{r}.{t}\:'{x}'\: \\ $$$${x}^{{y}} +{y}^{{x}} ={c} \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 169610 Answers: 1 Comments: 0

Question Number 169600 Answers: 3 Comments: 2

give : x,y,z∈R x+y+xy=8 y+z+yz=15 z+x+zx=35 ⇒x+y+z+xyz=?

$${give}\::\:{x},{y},{z}\in\mathbb{R}\: \\ $$$${x}+{y}+{xy}=\mathrm{8} \\ $$$${y}+{z}+{yz}=\mathrm{15} \\ $$$${z}+{x}+{zx}=\mathrm{35} \\ $$$$\Rightarrow{x}+{y}+{z}+{xyz}=? \\ $$

Question Number 169585 Answers: 1 Comments: 2

Question Number 169582 Answers: 0 Comments: 0

Question Number 169579 Answers: 0 Comments: 0

Question Number 169569 Answers: 1 Comments: 0

f(x) = x −⌊(x/2)⌋−⌊(x/3)⌋−⌊(x/6)⌋ R_( f) = ?

$$ \\ $$$$\:\:\:\:\:{f}\left({x}\right)\:=\:{x}\:−\lfloor\frac{{x}}{\mathrm{2}}\rfloor−\lfloor\frac{{x}}{\mathrm{3}}\rfloor−\lfloor\frac{{x}}{\mathrm{6}}\rfloor \\ $$$$\:\:\:\:\:\:\:\:\:\:{R}_{\:{f}} \:=\:? \\ $$$$\:\:\:\:\: \\ $$

Question Number 169709 Answers: 0 Comments: 1

Question Number 169708 Answers: 0 Comments: 0

Question Number 169565 Answers: 0 Comments: 1

lim_(x→0) ((a^(sinx) −c^(sinx) )/(m^(sinx) −n^(sinx) ))=? ∀{a,c,m,n}∈[0,∞]

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{a}^{{sinx}} −{c}^{{sinx}} }{{m}^{{sinx}} −{n}^{{sinx}} }=? \\ $$$$\forall\left\{{a},{c},{m},{n}\right\}\in\left[\mathrm{0},\infty\right] \\ $$

Question Number 169563 Answers: 0 Comments: 1

Question Number 169559 Answers: 1 Comments: 1

Question Number 169558 Answers: 3 Comments: 0

(dy/dx) = ((2x−y+1)/(x−4y+3))

$$\:\:\:\:\:\:\:\frac{{dy}}{{dx}}\:=\:\frac{\mathrm{2}{x}−{y}+\mathrm{1}}{{x}−\mathrm{4}{y}+\mathrm{3}}\:\:\: \\ $$

Question Number 169573 Answers: 0 Comments: 0

find real matrix A such that: t_A ×A=O , where O is null marix

$${find}\:{real}\:{matrix}\:{A}\:{such}\:{that}: \\ $$$${t}_{{A}} ×{A}={O}\:,\:{where}\:{O}\:{is}\:{null}\:{marix} \\ $$

Question Number 169572 Answers: 1 Comments: 0

Question Number 169553 Answers: 1 Comments: 0

solve the D.E 2dx−e^(y−x) dy=0

$${solve}\:{the}\:{D}.{E} \\ $$$$\mathrm{2}{dx}−{e}^{{y}−{x}} {dy}=\mathrm{0} \\ $$

Question Number 169549 Answers: 1 Comments: 0

convert this D.E to exact D.E and solve it ydx+x(1+y)dy=0

$${convert}\:{this}\:{D}.{E}\:{to}\:{exact}\:{D}.{E}\:{and}\:{solve}\:{it} \\ $$$${ydx}+{x}\left(\mathrm{1}+{y}\right){dy}=\mathrm{0} \\ $$

Question Number 169548 Answers: 0 Comments: 1

Question Number 169541 Answers: 1 Comments: 0

Question Number 169539 Answers: 1 Comments: 2

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