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Question Number 189468 Answers: 2 Comments: 4

If tan ((x/2))= csc x−sin x , then tan^2 ((x/2))=?

$$\:\:\:\mathrm{If}\:\mathrm{tan}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)=\:\mathrm{csc}\:\mathrm{x}−\mathrm{sin}\:\mathrm{x}\:,\:\mathrm{then} \\ $$$$\:\:\mathrm{tan}\:^{\mathrm{2}} \left(\frac{\mathrm{x}}{\mathrm{2}}\right)=? \\ $$

Question Number 189465 Answers: 1 Comments: 0

Question Number 189464 Answers: 1 Comments: 0

Question Number 189201 Answers: 1 Comments: 0

In △ABC holds: (√2) a cos (B/2) cos (C/2) = s ⇒ sec (2B) + tan (2B) = ((c + b)/(c − b))

$$\mathrm{In}\:\:\:\bigtriangleup\mathrm{ABC}\:\:\:\mathrm{holds}: \\ $$$$\sqrt{\mathrm{2}}\:\mathrm{a}\:\mathrm{cos}\:\frac{\mathrm{B}}{\mathrm{2}}\:\mathrm{cos}\:\frac{\mathrm{C}}{\mathrm{2}}\:=\:\mathrm{s} \\ $$$$\Rightarrow\:\mathrm{sec}\:\left(\mathrm{2B}\right)\:+\:\mathrm{tan}\:\left(\mathrm{2B}\right)\:=\:\frac{\mathrm{c}\:+\:\mathrm{b}}{\mathrm{c}\:−\:\mathrm{b}} \\ $$

Question Number 189189 Answers: 1 Comments: 0

Question Number 189183 Answers: 1 Comments: 0

Question Number 189174 Answers: 1 Comments: 0

log_3 (x+1)=2 ; x=?

$${log}_{\mathrm{3}} \left({x}+\mathrm{1}\right)=\mathrm{2}\:\:\:\:\:\:\:\:;\:\:\:{x}=? \\ $$

Question Number 189169 Answers: 1 Comments: 4

Question Number 189205 Answers: 0 Comments: 6

Question Number 189463 Answers: 1 Comments: 0

Question Number 189145 Answers: 6 Comments: 0

pleas solve this 1) lim_(x→1) ((e^(x+2x+3x+4x+∙∙∙∙∙+nx) −e^((n(n+1))/2) )/(x−1))=? 2) lim_(x→1) ((e^(2^x ∙3^x ∙4^x ∙∙∙∙n^x ) −e^(n!) )/(x−1))=? 3)lim_(x→1) ((e^(x+x^2 +x^3 +.......+x^n ) −e^n )/(x−1))=?

$${pleas}\:{solve}\:{this} \\ $$$$\left.\mathrm{1}\right)\:\:\:\:\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\frac{{e}^{{x}+\mathrm{2}{x}+\mathrm{3}{x}+\mathrm{4}{x}+\centerdot\centerdot\centerdot\centerdot\centerdot+{nx}} −{e}^{\frac{{n}\left({n}+\mathrm{1}\right)}{\mathrm{2}}} }{{x}−\mathrm{1}}=? \\ $$$$\left.\mathrm{2}\right)\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\frac{{e}^{\mathrm{2}^{{x}} \centerdot\mathrm{3}^{{x}} \centerdot\mathrm{4}^{{x}} \centerdot\centerdot\centerdot\centerdot{n}^{{x}} } −{e}^{{n}!} }{{x}−\mathrm{1}}=? \\ $$$$\left.\mathrm{3}\right)\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\frac{{e}^{{x}+{x}^{\mathrm{2}} +{x}^{\mathrm{3}} +.......+{x}^{{n}} } −{e}^{{n}} }{{x}−\mathrm{1}}=? \\ $$

Question Number 189144 Answers: 0 Comments: 1

∫_0 ^( 1) ∫_0 ^( 1) ∫_0 ^( 1) ((√(x + y + z))/( (√x) + (√y) + (√z) )) dxdydz

$$\: \\ $$$$\: \\ $$$$\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\sqrt{{x}\:+\:{y}\:+\:{z}}}{\:\sqrt{{x}}\:+\:\sqrt{{y}}\:+\:\sqrt{{z}}\:}\:{dxdydz} \\ $$$$\: \\ $$$$\: \\ $$

Question Number 189140 Answers: 2 Comments: 0

Question Number 189135 Answers: 2 Comments: 0

Question Number 189137 Answers: 0 Comments: 2

It is known that x is rational x (√(28 + 3(√(28 + 3(√(28 + 3(√?))))))) Find the dufference of possible vaules of x

$$\mathrm{It}\:\mathrm{is}\:\mathrm{known}\:\mathrm{that}\:\:\mathrm{x}\:\:\mathrm{is}\:\mathrm{rational} \\ $$$$\mathrm{x}\:\sqrt{\mathrm{28}\:+\:\mathrm{3}\sqrt{\mathrm{28}\:+\:\mathrm{3}\sqrt{\mathrm{28}\:+\:\mathrm{3}\sqrt{?}}}} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{dufference}\:\mathrm{of}\:\mathrm{possible}\:\mathrm{vaules} \\ $$$$\mathrm{of}\:\:\boldsymbol{\mathrm{x}} \\ $$

Question Number 189133 Answers: 1 Comments: 0

Convert hexadecimal number 4 A F_(16) to decimal

$$\mathrm{Convert}\:\mathrm{hexadecimal}\:\mathrm{number} \\ $$$$\mathrm{4}\:\mathrm{A}\:\mathrm{F}_{\mathrm{16}} \:\:\mathrm{to}\:\mathrm{decimal} \\ $$

Question Number 189131 Answers: 2 Comments: 0

Question Number 189127 Answers: 3 Comments: 0

Question Number 189126 Answers: 1 Comments: 0

Question Number 189125 Answers: 2 Comments: 0

Question Number 189124 Answers: 1 Comments: 0

Question Number 189123 Answers: 2 Comments: 0

Question Number 189132 Answers: 1 Comments: 0

Find the value of a+b+c+d+e in the system of equations: { ((13a+2b+c+6d+2e=96)),((5a+9b+2c+7d+3e=75)),((7a+8b+17c+11d+7e=99)),((3a+3b+3c+d+8e=55)),((a+7b+6c+4d+9e=79)) :}

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:\:\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}+\mathrm{e} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{system}\:\mathrm{of}\:\mathrm{equations}: \\ $$$$\begin{cases}{\mathrm{13a}+\mathrm{2b}+\mathrm{c}+\mathrm{6d}+\mathrm{2e}=\mathrm{96}}\\{\mathrm{5a}+\mathrm{9b}+\mathrm{2c}+\mathrm{7d}+\mathrm{3e}=\mathrm{75}}\\{\mathrm{7a}+\mathrm{8b}+\mathrm{17c}+\mathrm{11d}+\mathrm{7e}=\mathrm{99}}\\{\mathrm{3a}+\mathrm{3b}+\mathrm{3c}+\mathrm{d}+\mathrm{8e}=\mathrm{55}}\\{\mathrm{a}+\mathrm{7b}+\mathrm{6c}+\mathrm{4d}+\mathrm{9e}=\mathrm{79}}\end{cases} \\ $$

Question Number 189114 Answers: 2 Comments: 0

Question Number 189112 Answers: 0 Comments: 3

Question Number 189110 Answers: 0 Comments: 1

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