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AllQuestion and Answers: Page 210

Question Number 199308 Answers: 0 Comments: 0

Question Number 199624 Answers: 0 Comments: 1

Question Number 203651 Answers: 3 Comments: 0

lim_(x→1) (2−x)^(tan(((πx)/2))) =?

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

Question Number 199290 Answers: 4 Comments: 1

If x=(√(p+iq))+(√(h+ik)) and (p/q)≠(k/h) then relate p,q,h,k ∈R such that x∈R.

$${If}\:{x}=\sqrt{{p}+{iq}}+\sqrt{{h}+{ik}} \\ $$$${and}\:\:\frac{{p}}{{q}}\neq\frac{{k}}{{h}}\:\:{then}\:{relate}\:{p},{q},{h},{k}\:\in\mathbb{R} \\ $$$${such}\:{that}\:{x}\in\mathbb{R}. \\ $$

Question Number 199286 Answers: 3 Comments: 0

Question Number 199261 Answers: 0 Comments: 0

Question Number 199259 Answers: 0 Comments: 1

Question Number 199621 Answers: 3 Comments: 0

Question Number 199620 Answers: 1 Comments: 0

Question Number 199242 Answers: 2 Comments: 0

Question Number 199236 Answers: 1 Comments: 0

calcul ∫_0 ^(+oo) (1/(x^α +x^β ))dx a>o

$${calcul}\: \\ $$$$\int_{\mathrm{0}} ^{+{oo}} \frac{\mathrm{1}}{{x}^{\alpha} \:+{x}^{\beta} }{dx}\:\:\:{a}>{o} \\ $$

Question Number 199234 Answers: 2 Comments: 1

Question Number 199230 Answers: 1 Comments: 0

x , y : positive real numbers If : 15^x = 9^y Find: 5^((3x)/(2y − x)) = ?

$$\mathrm{x}\:,\:\mathrm{y}\::\:\:\:\mathrm{positive}\:\mathrm{real}\:\mathrm{numbers} \\ $$$$\mathrm{If}\::\:\:\:\mathrm{15}^{\boldsymbol{\mathrm{x}}} \:=\:\mathrm{9}^{\boldsymbol{\mathrm{y}}} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{5}^{\frac{\mathrm{3}\boldsymbol{\mathrm{x}}}{\mathrm{2}\boldsymbol{\mathrm{y}}\:−\:\boldsymbol{\mathrm{x}}}} \:\:=\:\:? \\ $$

Question Number 199226 Answers: 1 Comments: 0

find ((2 sin 2°+4 sin 4°+...+180 sin 180°)/(90))=? [an unsolved old question #198900]

$${find} \\ $$$$\frac{\mathrm{2}\:\mathrm{sin}\:\mathrm{2}°+\mathrm{4}\:\mathrm{sin}\:\mathrm{4}°+...+\mathrm{180}\:\mathrm{sin}\:\mathrm{180}°}{\mathrm{90}}=? \\ $$$$ \\ $$$$\left[{an}\:{unsolved}\:{old}\:{question}\:#\mathrm{198900}\right] \\ $$

Question Number 199270 Answers: 2 Comments: 4

Question Number 199213 Answers: 1 Comments: 0

Question Number 199215 Answers: 0 Comments: 0

Question Number 199205 Answers: 0 Comments: 0

a_(n+1 ) = a_n + (√(a_n ^2 + 1)) , a_0 = α find a_(n ) = ??

$$\:\:\:\:{a}_{{n}+\mathrm{1}\:} =\:{a}_{{n}} \:+\:\sqrt{{a}_{{n}} ^{\mathrm{2}} \:+\:\mathrm{1}}\:\:,\:{a}_{\mathrm{0}} \:=\:\alpha \\ $$$$\:\:\:\mathrm{find}\:\mathrm{a}_{\mathrm{n}\:} \:=\:\:?? \\ $$

Question Number 199218 Answers: 0 Comments: 0

in a triangle nmmm5gfkl

$$\mathrm{in}\:\mathrm{a}\:\mathrm{triangle}\: \\ $$$$\mathrm{nmmm5gfkl} \\ $$$$\: \\ $$$$ \\ $$$$ \\ $$

Question Number 199194 Answers: 1 Comments: 0

a_1 ,a_2 ,... a_1 =1 a_(2n) =n∙a_n a_2^(100) = ?

$$\mathrm{a}_{\mathrm{1}} ,\mathrm{a}_{\mathrm{2}} ,... \\ $$$$\mathrm{a}_{\mathrm{1}} =\mathrm{1} \\ $$$$\mathrm{a}_{\mathrm{2n}} =\mathrm{n}\centerdot\mathrm{a}_{\mathrm{n}} \\ $$$$\mathrm{a}_{\mathrm{2}^{\mathrm{100}} } \:=\:? \\ $$

Question Number 199184 Answers: 0 Comments: 3

Question Number 199183 Answers: 1 Comments: 0

B,O,M - Each is a distinct positive integer If B ∙ O ∙ M = 223 Find: max(B + O + M)=?

$$\mathrm{B},\mathrm{O},\mathrm{M}\:-\:\mathrm{Each}\:\mathrm{is}\:\mathrm{a}\:\mathrm{distinct}\:\mathrm{positive} \\ $$$$\mathrm{integer} \\ $$$$\mathrm{If}\:\:\:\mathrm{B}\:\centerdot\:\mathrm{O}\:\centerdot\:\mathrm{M}\:=\:\mathrm{223} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{max}\left(\mathrm{B}\:+\:\mathrm{O}\:+\:\mathrm{M}\right)=? \\ $$

Question Number 199181 Answers: 0 Comments: 1

Question Number 199177 Answers: 1 Comments: 1

Question Number 199176 Answers: 1 Comments: 0

If f(x) =(x^2 −4x) sin 4x find f^((6)) (x).

$$\:\:\:\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)\:=\left(\mathrm{x}^{\mathrm{2}} −\mathrm{4x}\right)\:\mathrm{sin}\:\mathrm{4x}\: \\ $$$$\:\:\:\mathrm{find}\:\mathrm{f}^{\left(\mathrm{6}\right)} \left(\mathrm{x}\right).\: \\ $$

Question Number 199175 Answers: 1 Comments: 0

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