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AllQuestion and Answers: Page 273

Question Number 193595    Answers: 2   Comments: 0

Question Number 193622    Answers: 1   Comments: 1

determiner l angle x

$$\mathrm{determiner}\:\mathrm{l}\:\mathrm{angle}\:\boldsymbol{\mathrm{x}} \\ $$

Question Number 193581    Answers: 1   Comments: 0

Question Number 193617    Answers: 1   Comments: 0

Question Number 193618    Answers: 1   Comments: 0

x^(log_2 x) =256

$${x}^{{log}_{\mathrm{2}} {x}} =\mathrm{256} \\ $$

Question Number 193565    Answers: 1   Comments: 0

Question Number 193563    Answers: 3   Comments: 0

Question Number 193554    Answers: 2   Comments: 0

Question Number 193548    Answers: 1   Comments: 1

Question Number 193546    Answers: 2   Comments: 0

if a+b+c=1 find maximum ab +bc +ca a , b , c are non negative integers

$${if}\:{a}+{b}+{c}=\mathrm{1} \\ $$$${find}\:{maximum}\:{ab}\:+{bc}\:+{ca}\: \\ $$$${a}\:,\:{b}\:,\:{c}\:{are}\:{non}\:{negative}\:{integers} \\ $$$$ \\ $$

Question Number 193585    Answers: 1   Comments: 0

There exists a unique positive integer a for which The sum u = Σ_(n=1) ^(2023) ⌊((n^2 −na)/5)⌋ is an integer trictly between −1000 & 1000 find a+u.

$$ \\ $$$${There}\:{exists}\:{a}\:{unique}\:{positive}\:{integer}\:{a}\:{for} \\ $$$${which}\:{The}\:{sum}\:{u}\:\:=\:\underset{{n}=\mathrm{1}} {\overset{\mathrm{2023}} {\sum}}\lfloor\frac{{n}^{\mathrm{2}} −{na}}{\mathrm{5}}\rfloor\:{is}\:{an}\:{integer} \\ $$$${trictly}\:{between}\:−\mathrm{1000}\:\&\:\mathrm{1000}\:{find}\:{a}+{u}. \\ $$

Question Number 193543    Answers: 0   Comments: 4

solve

$${solve} \\ $$

Question Number 193542    Answers: 1   Comments: 2

f(x) = x^3 +3x^2 −1 1) calcul h(X) = f(a+X) −b 2) determine a and b such that h is odd

$$\mathrm{f}\left(\mathrm{x}\right)\:=\:\mathrm{x}^{\mathrm{3}} +\mathrm{3x}^{\mathrm{2}} −\mathrm{1} \\ $$$$\left.\mathrm{1}\right)\:\mathrm{calcul}\:\:\:\:\mathrm{h}\left(\mathrm{X}\right)\:=\:\mathrm{f}\left(\mathrm{a}+\mathrm{X}\right)\:−\mathrm{b} \\ $$2) determine a and b such that h is odd

Question Number 193538    Answers: 2   Comments: 0

∫ (dx/(x^6 +1)) =?

$$\:\:\:\int\:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{6}} +\mathrm{1}}\:=? \\ $$

Question Number 193540    Answers: 0   Comments: 0

Question Number 193533    Answers: 2   Comments: 0

If cot x−tan x=4 then cot^2 +(2/(sin 2x)) −tan^2 x =?

$$\:\:\:\mathrm{If}\:\mathrm{cot}\:\mathrm{x}−\mathrm{tan}\:\mathrm{x}=\mathrm{4}\:\mathrm{then} \\ $$$$\:\:\:\:\mathrm{cot}\:^{\mathrm{2}} +\frac{\mathrm{2}}{\mathrm{sin}\:\mathrm{2x}}\:−\mathrm{tan}\:^{\mathrm{2}} \mathrm{x}\:=? \\ $$

Question Number 193532    Answers: 2   Comments: 0

lim_(x→2) ((1−cos πx)/((2−x)^2 )) =?

$$\:\:\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\:\frac{\mathrm{1}−\mathrm{cos}\:\pi\mathrm{x}}{\left(\mathrm{2}−\mathrm{x}\right)^{\mathrm{2}} }\:=? \\ $$

Question Number 193526    Answers: 2   Comments: 0

Question Number 193525    Answers: 2   Comments: 0

((27t73)/(11)) and R=0 then t=? how is explontry solution

$$\:\:\:\:\:\frac{\mathrm{27t73}}{\mathrm{11}} \\ $$$$\:\:\:\:\:\mathrm{and}\:\mathrm{R}=\mathrm{0}\:\:\:\mathrm{then}\:\mathrm{t}=? \\ $$$$\:\:\:\:\:\:\mathrm{how}\:\mathrm{is}\:\mathrm{explontry}\:\mathrm{solution} \\ $$

Question Number 193521    Answers: 0   Comments: 0

Question Number 193522    Answers: 1   Comments: 0

Question Number 193513    Answers: 1   Comments: 0

Evaluate I=∫_s ∫x^3 dydz + x^2 ydzdx. where S is the closed surface consis− ting of the cylinder x^2 +y^2 =a^2 , 0≤z≤b and the cylinder disks z=0 and z=b, x^2 +y^2 =b, x^2 +y^2 ≤a. Help!

$$\mathrm{Evaluate}\:\mathrm{I}=\underset{\mathrm{s}} {\int}\int\mathrm{x}^{\mathrm{3}} \mathrm{dydz}\:+\:\mathrm{x}^{\mathrm{2}} \mathrm{ydzdx}. \\ $$$$\mathrm{where}\:\mathrm{S}\:\mathrm{is}\:\mathrm{the}\:\mathrm{closed}\:\mathrm{surface}\:\mathrm{consis}− \\ $$$$\mathrm{ting}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cylinder}\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} =\mathrm{a}^{\mathrm{2}} ,\:\mathrm{0}\leqslant\mathrm{z}\leqslant\mathrm{b} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{cylinder}\:\:\mathrm{disks}\:\mathrm{z}=\mathrm{0}\:\mathrm{and}\:\mathrm{z}=\mathrm{b}, \\ $$$$\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} =\mathrm{b},\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \leqslant\mathrm{a}. \\ $$$$ \\ $$$$ \\ $$$$\mathrm{Help}! \\ $$

Question Number 193512    Answers: 1   Comments: 0

Question Number 193511    Answers: 1   Comments: 0

Question Number 193504    Answers: 0   Comments: 1

lim_(x→0) x^x^x =?

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}x}^{\mathrm{x}^{\mathrm{x}} } =? \\ $$

Question Number 193502    Answers: 2   Comments: 0

olve cos 2x .tan (((7π)/(19)))=tan (((17π)/(23)))+tan (((6π)/(23)))+tan (((12π)/(19)))

$$ \mathrm{olve}\: \\ $$$$\:\:\mathrm{cos}\:\mathrm{2x}\:.\mathrm{tan}\:\left(\frac{\mathrm{7}\pi}{\mathrm{19}}\right)=\mathrm{tan}\:\left(\frac{\mathrm{17}\pi}{\mathrm{23}}\right)+\mathrm{tan}\:\left(\frac{\mathrm{6}\pi}{\mathrm{23}}\right)+\mathrm{tan}\:\left(\frac{\mathrm{12}\pi}{\mathrm{19}}\right) \\ $$

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