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Question Number 190360 Answers: 3 Comments: 0

if x+ (1/x) = ϕ ( Golden ratio) ⇒ x^( 2000) + (1/x^( 2000) )=?

$$ \\ $$$${if}\:\:\:{x}+\:\frac{\mathrm{1}}{{x}}\:=\:\varphi\:\left(\:\:{Golden}\:{ratio}\right) \\ $$$$\:\:\:\:\:\Rightarrow\:\:\:{x}^{\:\mathrm{2000}} +\:\frac{\mathrm{1}}{{x}^{\:\mathrm{2000}} }=? \\ $$$$ \\ $$$$ \\ $$

Question Number 190358 Answers: 0 Comments: 14

The latest update allows you to write any language using system keyboard for example

$$\mathrm{The}\:\mathrm{latest}\:\mathrm{update}\:\mathrm{allows}\:\mathrm{you}\:\mathrm{to} \\ $$$$\mathrm{write}\:\mathrm{any}\:\mathrm{language}\:\mathrm{using}\:\mathrm{system} \\ $$$$\mathrm{keyboard}\:\mathrm{for}\:\mathrm{example} \\ $$$$\:\: \\ $$

Question Number 190357 Answers: 0 Comments: 1

Question Number 190367 Answers: 0 Comments: 0

Question Number 190347 Answers: 1 Comments: 0

how is solution lim_(x→sinπ ) ((sin(π/2))/(sinx))=?

$${how}\:{is}\:{solution} \\ $$$$\underset{{x}\rightarrow\mathrm{sin}\pi\:} {\mathrm{lim}}\frac{\mathrm{sin}\frac{\pi}{\mathrm{2}}}{\mathrm{sin}{x}}=? \\ $$

Question Number 190340 Answers: 3 Comments: 4

Question Number 190339 Answers: 1 Comments: 0

solve for x ∈R (√(x−1))+(√(3x−5))+(√(4x−7))=4x−5

$${solve}\:{for}\:{x}\:\in\mathbb{R} \\ $$$$\sqrt{{x}−\mathrm{1}}+\sqrt{\mathrm{3}{x}−\mathrm{5}}+\sqrt{\mathrm{4}{x}−\mathrm{7}}=\mathrm{4}{x}−\mathrm{5} \\ $$

Question Number 190329 Answers: 0 Comments: 1

Question Number 190325 Answers: 1 Comments: 0

Question Number 190324 Answers: 1 Comments: 1

Question Number 190321 Answers: 0 Comments: 1

What is the length x of triangle equilateral A^′ B′C′,such that Area(triangle ABC)=Area(triangle A′B^′ C′)

$${What}\:{is}\:{the}\:{length}\:\:\boldsymbol{{x}}\:\:{of}\:{triangle} \\ $$$${equilateral}\:{A}^{'} {B}'{C}',{such}\:{that} \\ $$$${Area}\left({triangle}\:{ABC}\right)={Area}\left({triangle}\:{A}'{B}^{'} {C}'\right) \\ $$$$ \\ $$

Question Number 190318 Answers: 2 Comments: 0

Question Number 190317 Answers: 1 Comments: 0

Question Number 190315 Answers: 0 Comments: 0

Question Number 190306 Answers: 1 Comments: 0

Question Number 190303 Answers: 1 Comments: 0

If, f(x)= ((⌊−x ⌋)/x) +1 ⇒ critical points = ?

$$ \\ $$$$\:\:\:\:\:\mathrm{I}{f},\:\:{f}\left({x}\right)=\:\frac{\lfloor−{x}\:\rfloor}{{x}}\:+\mathrm{1}\:\:\Rightarrow\:\:{critical}\:{points}\:\:=\:? \\ $$$$ \\ $$

Question Number 190300 Answers: 2 Comments: 0

lim_( x→0) (( sin(x) −tan(x))/x^( 3) ) a: (1/2) b: ((−1)/4) c: ((−1)/2) d: ((−1)/4)

$$ \\ $$$$\:\:\:\mathrm{lim}_{\:{x}\rightarrow\mathrm{0}} \frac{\:{sin}\left({x}\right)\:−{tan}\left({x}\right)}{{x}^{\:\mathrm{3}} } \\ $$$$\:\:\:\:\:{a}:\:\:\:\:\frac{\mathrm{1}}{\mathrm{2}}\:\:\:\:\:\:\:\:\:\:\:{b}:\:\:\:\:\frac{−\mathrm{1}}{\mathrm{4}}\:\:\:\:\:\:\:\:\:{c}:\:\:\:\:\:\frac{−\mathrm{1}}{\mathrm{2}}\:\:\:\:\:\:\:\:\:\:{d}:\:\:\:\:\frac{−\mathrm{1}}{\mathrm{4}} \\ $$$$ \\ $$

Question Number 190297 Answers: 1 Comments: 0

Question Number 190286 Answers: 1 Comments: 0

Question Number 190285 Answers: 1 Comments: 5

Question Number 190284 Answers: 2 Comments: 0

find the remainder if 4^(2023) divides by 7

$$\mathrm{find}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{if}\:\mathrm{4}^{\mathrm{2023}} \: \\ $$$$\mathrm{divides}\:\mathrm{by}\:\mathrm{7} \\ $$

Question Number 190283 Answers: 0 Comments: 0

calculate laplace transform L { (( e^( −(1/x)) )/( (√x) )) } = ?

$$ \\ $$$$\:\:{calculate} \\ $$$$ \\ $$$$\:\:\:\:{laplace}\:\:{transform}\:\: \\ $$$$\:\:\:\:\:\:\:\mathscr{L}\:\:\:\left\{\:\:\frac{\:{e}^{\:−\frac{\mathrm{1}}{{x}}} }{\:\sqrt{{x}}\:}\:\:\right\}\:=\:?\: \\ $$$$ \\ $$

Question Number 190275 Answers: 1 Comments: 0

Find the value of i^n for every positive integer n, where i^2 = −1, i^3 = i^2 i, i^4 = i^2 i^2 , etc.

$$\:\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{i}^{\mathrm{n}} \:\mathrm{for}\:\mathrm{every}\:\mathrm{positive} \\ $$$$\:\mathrm{integer}\:\mathrm{n},\:\mathrm{where}\:\mathrm{i}^{\mathrm{2}} \:=\:−\mathrm{1},\:\mathrm{i}^{\mathrm{3}} =\:\mathrm{i}^{\mathrm{2}} \mathrm{i},\:\mathrm{i}^{\mathrm{4}} \:=\:\mathrm{i}^{\mathrm{2}} \mathrm{i}^{\mathrm{2}} \:,\:{etc}. \\ $$

Question Number 190272 Answers: 0 Comments: 0

Question Number 190270 Answers: 1 Comments: 0

Question Number 190269 Answers: 1 Comments: 1

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