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Question Number 168438 Answers: 0 Comments: 0

y=sin((2x)/3) function any point minemum praice the [π,3π]

$${y}={sin}\frac{\mathrm{2}{x}}{\mathrm{3}}\:\:\:{function}\:{any} \\ $$$${point}\:{minemum}\:{praice} \\ $$$${the}\:\left[\pi,\mathrm{3}\pi\right] \\ $$

Question Number 168436 Answers: 0 Comments: 0

y=(sin x+cos x)^2 −1 is any point minmum praice the [((3π)/2),((7π)/2)]

$${y}=\left(\mathrm{sin}\:{x}+\mathrm{cos}\:{x}\right)^{\mathrm{2}} −\mathrm{1} \\ $$$${is}\:{any}\:{point}\:{minmum}\:{praice} \\ $$$${the}\:\left[\frac{\mathrm{3}\pi}{\mathrm{2}},\frac{\mathrm{7}\pi}{\mathrm{2}}\right] \\ $$

Question Number 168435 Answers: 0 Comments: 0

x^(x+y) =x y^(x+y) =xy^(3 ^((x,y)=(?,?)) )

$${x}^{{x}+{y}} ={x} \\ $$$${y}^{{x}+{y}} ={xy}^{\mathrm{3}\:\:\:\:\:\:\:\:\:\overset{\left({x},{y}\right)=\left(?,?\right)} {\:}} \\ $$

Question Number 168434 Answers: 3 Comments: 0

2^x ×3^(4/x) =48 x=?

$$\mathrm{2}^{{x}} ×\mathrm{3}^{\frac{\mathrm{4}}{{x}}} =\mathrm{48} \\ $$$${x}=? \\ $$

Question Number 168429 Answers: 2 Comments: 0

calculate: P=∫_1 ^e^(π/2) ((cos(lnx))/x)dx

$${calculate}: \\ $$$${P}=\int_{\mathrm{1}} ^{{e}^{\frac{\pi}{\mathrm{2}}} } \frac{{cos}\left({lnx}\right)}{{x}}{dx} \\ $$

Question Number 168446 Answers: 1 Comments: 0

Question Number 168428 Answers: 1 Comments: 0

solve f(x)= x +(√(x^( 2) −3x +2)) R _f =? R_( f) : rang of f

$$ \\ $$$$\:\:\:\:\:{solve} \\ $$$$\:\:\:\:\:{f}\left({x}\right)=\:{x}\:+\sqrt{{x}^{\:\mathrm{2}} −\mathrm{3}{x}\:+\mathrm{2}} \\ $$$$\:\:\:\:\:\:\:\:{R}\:_{{f}} \:=?\:\:\:\:\:\:\:{R}_{\:{f}} :\:{rang}\:{of}\:\:\:\:{f} \\ $$

Question Number 168427 Answers: 2 Comments: 2

Question Number 168421 Answers: 0 Comments: 0

Calculate the compound interest on the sum of #400 000 for 2years at the rate of 10% . Mastermind

$${Calculate}\:{the}\:{compound}\:{interest}\: \\ $$$${on}\:{the}\:{sum}\:{of}\:#\mathrm{400}\:\mathrm{000}\: \\ $$$${for}\:\mathrm{2}{years}\:{at}\:{the}\:{rate}\:{of} \\ $$$$\mathrm{10\%}\:. \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 168411 Answers: 0 Comments: 0

Question Number 168424 Answers: 0 Comments: 0

f(4)=5 f(5)=7 g(5)=3 g(7)=4 f(g(5))=?

$${f}\left(\mathrm{4}\right)=\mathrm{5}\:\:\:\:\:\:\:\:\:{f}\left(\mathrm{5}\right)=\mathrm{7} \\ $$$${g}\left(\mathrm{5}\right)=\mathrm{3}\:\:\:\:\:\:\:\:\:{g}\left(\mathrm{7}\right)=\mathrm{4} \\ $$$${f}\left({g}\left(\mathrm{5}\right)\right)=? \\ $$

Question Number 168405 Answers: 1 Comments: 2

Question Number 168402 Answers: 0 Comments: 1

2x^3 +9x^2 +13x+6=0 Solve the x, (Use Cubic Formula!) x_1 =? x_2 =? x_3 =?

$$\mathrm{2}{x}^{\mathrm{3}} +\mathrm{9}{x}^{\mathrm{2}} +\mathrm{13}{x}+\mathrm{6}=\mathrm{0} \\ $$$${Solve}\:{the}\:{x},\:\left({Use}\:{Cubic}\:{Formula}!\right) \\ $$$${x}_{\mathrm{1}} =? \\ $$$${x}_{\mathrm{2}} =? \\ $$$${x}_{\mathrm{3}} =? \\ $$

Question Number 168400 Answers: 0 Comments: 1

Question Number 168399 Answers: 1 Comments: 0

solve z^(1/4) −i=0 Mastermind

$${solve} \\ $$$${z}^{\frac{\mathrm{1}}{\mathrm{4}}} −{i}=\mathrm{0} \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 168391 Answers: 0 Comments: 1

((3(√3))/(3(√3)))=1 or 3×(√3)÷3×(√3) =3 ???

$$\:\:\:\frac{\mathrm{3}\sqrt{\mathrm{3}}}{\mathrm{3}\sqrt{\mathrm{3}}}=\mathrm{1}\:\:\:\:{or}\:\:\mathrm{3}×\sqrt{\mathrm{3}}\boldsymbol{\div}\mathrm{3}×\sqrt{\mathrm{3}}\:=\mathrm{3}\:\:\:\:\:\:\:\:\:\:\:??? \\ $$

Question Number 168388 Answers: 1 Comments: 0

Question Number 168383 Answers: 2 Comments: 1

Question Number 168379 Answers: 0 Comments: 0

Question Number 168380 Answers: 0 Comments: 0

Question Number 168375 Answers: 0 Comments: 2

Question Number 168368 Answers: 1 Comments: 0

Question Number 168367 Answers: 1 Comments: 0

91x^2 +84y^2 −24xy+406x−392y+799=0 find the eccentricity,focus,length of major & minor axis,directrix & length of eccentric perpendicular

$$\mathrm{91}{x}^{\mathrm{2}} +\mathrm{84}{y}^{\mathrm{2}} −\mathrm{24}{xy}+\mathrm{406}{x}−\mathrm{392}{y}+\mathrm{799}=\mathrm{0} \\ $$$${find}\:{the}\:{eccentricity},{focus},{length}\:{of}\:{major}\:\&\:{minor}\:{axis},{directrix}\:\&\:{length}\:{of}\:{eccentric}\:{perpendicular} \\ $$$$ \\ $$

Question Number 168366 Answers: 1 Comments: 0

Question Number 168361 Answers: 1 Comments: 0

Question Number 168355 Answers: 1 Comments: 0

let U_n =∫_0 ^1 (x^n )(√(1−x^(2n+1) )))dx 1) find a equivalent of U_n (n∼∞) 2) study the comvergence of Σ U_n

$$\left.{let}\:{U}_{{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} \left({x}^{{n}} \right)\sqrt{\mathrm{1}−{x}^{\mathrm{2}{n}+\mathrm{1}} }\right){dx} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{a}\:{equivalent}\:{of}\:{U}_{{n}} \left({n}\sim\infty\right) \\ $$$$\left.\mathrm{2}\right)\:{study}\:{the}\:{comvergence}\:{of}\:\Sigma\:{U}_{{n}} \\ $$

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