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AllQuestion and Answers: Page 696

Question Number 149796 Answers: 0 Comments: 4

Question Number 148901 Answers: 0 Comments: 2

Question Number 148895 Answers: 0 Comments: 2

Question Number 148890 Answers: 1 Comments: 0

if x + (1/x) = (√3) find x^(18) + x^(12) + x^6 + 1 = ?

$${if}\:\:\:{x}\:+\:\frac{\mathrm{1}}{{x}}\:=\:\sqrt{\mathrm{3}} \\ $$$${find}\:\:\:{x}^{\mathrm{18}} \:+\:{x}^{\mathrm{12}} \:+\:{x}^{\mathrm{6}} \:+\:\mathrm{1}\:=\:? \\ $$

Question Number 148887 Answers: 2 Comments: 0

Ω=∫_( 1) ^( ∞) (((√x) ln x)/(x^2 + 1)) dx = ?

$$\Omega=\underset{\:\mathrm{1}} {\overset{\:\infty} {\int}}\:\frac{\sqrt{{x}}\:{ln}\:{x}}{{x}^{\mathrm{2}} \:+\:\mathrm{1}}\:{dx}\:=\:? \\ $$

Question Number 148886 Answers: 1 Comments: 0

Question Number 148884 Answers: 1 Comments: 0

Question Number 148881 Answers: 1 Comments: 0

Question Number 148880 Answers: 1 Comments: 0

Question Number 148868 Answers: 2 Comments: 0

Question Number 148864 Answers: 1 Comments: 0

A random variable K has a pdf f(k)={_(0 , otherwise) ^e^(−k , 0>k) find E(K) and the cdf

$$\mathrm{A}\:\mathrm{random}\:\mathrm{variable}\:\mathrm{K}\:\mathrm{has}\:\mathrm{a}\:\mathrm{pdf}\: \\ $$$$\mathrm{f}\left(\mathrm{k}\right)=\left\{_{\mathrm{0}\:\:\:\:\:\:,\:\:\:\:\:\:\:\mathrm{otherwise}} ^{\mathrm{e}^{−\mathrm{k}\:\:\:,\:\:\:\:\:\:\:\:\mathrm{0}>\mathrm{k}} } \:\:\:\:\mathrm{find}\:\mathrm{E}\left(\mathrm{K}\right)\:\mathrm{and}\:\right. \\ $$$$\mathrm{the}\:\mathrm{cdf} \\ $$

Question Number 148861 Answers: 1 Comments: 0

Question Number 148860 Answers: 0 Comments: 0

f(x):= ∣ x^( 2) − (a+1)x +2a^( 2) −1∣ is differentiable on ( 1, 2 ). find the value(s) of ′ a ′ . ........

$$ \\ $$$$\:\:\:{f}\left({x}\right):=\:\mid\:{x}^{\:\mathrm{2}} −\:\left({a}+\mathrm{1}\right){x}\:+\mathrm{2}{a}^{\:\mathrm{2}} −\mathrm{1}\mid \\ $$$$\:\:\:\:{is}\:{differentiable}\:{on}\:\left(\:\mathrm{1},\:\mathrm{2}\:\right). \\ $$$$\:\:{find}\:{the}\:{value}\left({s}\right)\:{of}\:\:'\:\:{a}\:\:'\:. \\ $$$$\:\:........ \\ $$

Question Number 148858 Answers: 1 Comments: 0

Question Number 148856 Answers: 0 Comments: 3

pls solve

$${pls}\:{solve} \\ $$

Question Number 148854 Answers: 0 Comments: 0

∫(√((A∙B∙(√(x^2 +y^2 )))/((x^2 +y^2 )B^2 +C)))dx= ? A,B,C=const.

$$\int\sqrt{\frac{{A}\centerdot{B}\centerdot\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }}{\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right){B}^{\mathrm{2}} +{C}}}{dx}=\:\:? \\ $$$${A},{B},{C}={const}. \\ $$

Question Number 148849 Answers: 2 Comments: 0

lim_(x→0^+ ) ((x^3 −cos (√x) sin^2 x)/x^2 ) =?

$$\:\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\frac{{x}^{\mathrm{3}} −\mathrm{cos}\:\sqrt{{x}}\:\mathrm{sin}\:^{\mathrm{2}} {x}}{{x}^{\mathrm{2}} }\:=? \\ $$

Question Number 148848 Answers: 2 Comments: 0

lim_(x→0) ((((x+16))^(1/4) ((x+8))^(1/3) −4)/(x^2 +2x)) =?

$$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt[{\mathrm{4}}]{{x}+\mathrm{16}}\:\sqrt[{\mathrm{3}}]{{x}+\mathrm{8}}\:−\mathrm{4}}{{x}^{\mathrm{2}} +\mathrm{2}{x}}\:=?\: \\ $$

Question Number 148838 Answers: 0 Comments: 3

(1/(2×3×4)) +(1/(3×4×5))+(1/(4×5×6))+(1/(5×6×7))+(1/(6×7×8))+...+(1/(12×13×14))=?

$$\:\frac{\mathrm{1}}{\mathrm{2}×\mathrm{3}×\mathrm{4}}\:+\frac{\mathrm{1}}{\mathrm{3}×\mathrm{4}×\mathrm{5}}+\frac{\mathrm{1}}{\mathrm{4}×\mathrm{5}×\mathrm{6}}+\frac{\mathrm{1}}{\mathrm{5}×\mathrm{6}×\mathrm{7}}+\frac{\mathrm{1}}{\mathrm{6}×\mathrm{7}×\mathrm{8}}+...+\frac{\mathrm{1}}{\mathrm{12}×\mathrm{13}×\mathrm{14}}=? \\ $$

Question Number 148835 Answers: 1 Comments: 0

Question Number 148825 Answers: 2 Comments: 0

Question Number 148821 Answers: 1 Comments: 0

S=(4/3)(√(m(m−m_a )(m−m_b )(m−m_c ))) m=((m_a +m_b +m_c )/2) m_a ;m_b ;m_c −mediani prove

Question Number 148815 Answers: 0 Comments: 0

calculate ∫_0 ^∞ (x^n /((x^(2n) +1)^2 ))dx (n≥2 integr)

$$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{x}^{\mathrm{n}} }{\left(\mathrm{x}^{\mathrm{2n}} +\mathrm{1}\right)^{\mathrm{2}} }\mathrm{dx}\:\:\:\:\:\left(\mathrm{n}\geqslant\mathrm{2}\:\:\mathrm{integr}\right) \\ $$

Question Number 148812 Answers: 1 Comments: 0

find ∫ (dx/(((√x)+(√(x+1)))((√(x−1))+(√x))))

$$\mathrm{find}\:\int\:\:\frac{\mathrm{dx}}{\left(\sqrt{\mathrm{x}}+\sqrt{\mathrm{x}+\mathrm{1}}\right)\left(\sqrt{\mathrm{x}−\mathrm{1}}+\sqrt{\mathrm{x}}\right)} \\ $$

Question Number 148809 Answers: 1 Comments: 0

Σ_(i=0) ^∞ [(−0.5x^2 )i/i!] integrate

$$\underset{\mathrm{i}=\mathrm{0}} {\overset{\infty} {\sum}}\left[\left(−\mathrm{0}.\mathrm{5x}^{\mathrm{2}} \right)\mathrm{i}/\mathrm{i}!\right]\:\mathrm{integrate} \\ $$

Question Number 148806 Answers: 0 Comments: 1

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