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Question Number 58771 Answers: 0 Comments: 0

decompose inside R(x) the fraction F(x) =(1/((x^2 −4)^n ))

$${decompose}\:{inside}\:{R}\left({x}\right)\:{the}\:{fraction} \\ $$$${F}\left({x}\right)\:=\frac{\mathrm{1}}{\left({x}^{\mathrm{2}} −\mathrm{4}\right)^{{n}} } \\ $$

Question Number 58770 Answers: 2 Comments: 1

find the value of integrals I =∫_0 ^∞ (dx/((x^2 +1)^3 )) , J =∫_0 ^∞ (dx/((x^2 +1)^5 ))

$${find}\:{the}\:{value}\:{of}\:{integrals} \\ $$$$\:{I}\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{3}} }\:\:\:,\:{J}\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{5}} } \\ $$

Question Number 58769 Answers: 0 Comments: 1

decompose the fractions inside C(x) 1) (1/((x^2 +1)^3 )) 2) (1/((x^2 +1)^5 ))

$${decompose}\:{the}\:{fractions}\:{inside}\:{C}\left({x}\right) \\ $$$$\left.\mathrm{1}\right)\:\frac{\mathrm{1}}{\left({x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{3}} } \\ $$$$\left.\mathrm{2}\right)\:\frac{\mathrm{1}}{\left({x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{5}} } \\ $$

Question Number 58756 Answers: 3 Comments: 0

Question Number 58754 Answers: 2 Comments: 0

Question Number 58753 Answers: 1 Comments: 1

find lim_(x→0) ((1−cos(x)cos(x^2 )....cos(x^n ))/x^n ) with n natural integr ≥2

$${find}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\frac{\mathrm{1}−{cos}\left({x}\right){cos}\left({x}^{\mathrm{2}} \right)....{cos}\left({x}^{{n}} \right)}{{x}^{{n}} }\:\:\:{with}\:{n}\:{natural}\:{integr}\:\geqslant\mathrm{2} \\ $$

Question Number 58750 Answers: 0 Comments: 2

Question Number 58720 Answers: 2 Comments: 0

find (dy/dx) given that y = cos(x°)

$${find}\:\frac{{dy}}{{dx}}\:{given}\:{that}\:\:{y}\:=\:{cos}\left({x}°\right) \\ $$

Question Number 58717 Answers: 1 Comments: 1

Question Number 58716 Answers: 1 Comments: 0

(1/3)+(1/4)

$$\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{4}} \\ $$

Question Number 58700 Answers: 0 Comments: 5

a, b, c ∈ R^+ Find triple of positive real numbers (a, b, c) that satisfy a⌊b⌋ = 5 b⌊c⌋ = 5 c⌊a⌋ = 12

$${a},\:{b},\:{c}\:\:\in\:\:\mathbb{R}^{+} \\ $$$${Find}\:\:{triple}\:\:{of}\:\:{positive}\:\:{real}\:\:{numbers}\:\left({a},\:{b},\:{c}\right)\:\:{that}\:\:{satisfy} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:{a}\lfloor{b}\rfloor\:\:=\:\:\mathrm{5} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:{b}\lfloor{c}\rfloor\:\:=\:\:\mathrm{5} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:{c}\lfloor{a}\rfloor\:\:=\:\:\mathrm{12} \\ $$

Question Number 58698 Answers: 1 Comments: 4

▽^→ ∙((e^(br) /r^2 ) e_r ^∧ )=? b is a constant.

$$\overset{\rightarrow} {\bigtriangledown}\centerdot\left(\frac{{e}^{{br}} }{{r}^{\mathrm{2}} }\:\overset{\wedge} {{e}}_{{r}} \right)=?\:\:\:\:{b}\:{is}\:{a}\:{constant}. \\ $$

Question Number 58696 Answers: 1 Comments: 3

Question Number 58686 Answers: 0 Comments: 1

Question Number 58682 Answers: 1 Comments: 0

3(1/5)+2(1/(15))

$$\mathrm{3}\frac{\mathrm{1}}{\mathrm{5}}+\mathrm{2}\frac{\mathrm{1}}{\mathrm{15}} \\ $$

Question Number 58675 Answers: 0 Comments: 5

Question Number 58671 Answers: 3 Comments: 2

lim_(x→0) ((1−cos5x)/x^2 )

$$\underset{{x}\rightarrow\mathrm{0}} {{lim}}\:\:\frac{\mathrm{1}−{cos}\mathrm{5}{x}}{{x}^{\mathrm{2}} } \\ $$

Question Number 58669 Answers: 2 Comments: 0

{[3×(5+5)]+5}+{[4+(5×4)+5]}

$$\left\{\left[\mathrm{3}×\left(\mathrm{5}+\mathrm{5}\right)\right]+\mathrm{5}\right\}+\left\{\left[\mathrm{4}+\left(\mathrm{5}×\mathrm{4}\right)+\mathrm{5}\right]\right\} \\ $$

Question Number 58668 Answers: 0 Comments: 4

Question Number 58663 Answers: 3 Comments: 0

Question Number 58660 Answers: 0 Comments: 5

Question Number 58652 Answers: 1 Comments: 1

Question Number 58648 Answers: 2 Comments: 4

Question Number 58644 Answers: 1 Comments: 0

6+3^2 ×4

$$\mathrm{6}+\mathrm{3}^{\mathrm{2}} ×\mathrm{4} \\ $$

Question Number 58641 Answers: 1 Comments: 1

What is (1/8)+(1/4)?

$$\mathrm{What}\:\mathrm{is}\:\frac{\mathrm{1}}{\mathrm{8}}+\frac{\mathrm{1}}{\mathrm{4}}? \\ $$

Question Number 58639 Answers: 1 Comments: 0

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