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Question Number 203712 Answers: 0 Comments: 1

50 divide into to part that the mini figure (2/3) and large one is (5/7), and the sum of them is 21, find the tow figures?

$$\mathrm{50}\:{divide}\:{into}\:{to}\:{part}\:{that}\:{the}\:{mini}\: \\ $$$${figure}\:\frac{\mathrm{2}}{\mathrm{3}}\:{and}\:{large}\:{one}\:{is}\:\frac{\mathrm{5}}{\mathrm{7}},\:{and}\:{the}\: \\ $$$${sum}\:{of}\:{them}\:{is}\:\mathrm{21},\:{find}\:{the}\:{tow}\: \\ $$$${figures}? \\ $$

Question Number 203705 Answers: 1 Comments: 0

Σ_(n=0) ^(+oo) (((−1)^n )/((2n^2 −1)^2 ))

$$\underset{{n}=\mathrm{0}} {\overset{+{oo}} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} }{\left(\mathrm{2}{n}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{2}} } \\ $$

Question Number 203704 Answers: 1 Comments: 0

Q: In AB^Δ C : ( AB=AC=b ) and ( BC=a ). If , cos (A )= (a^2 /b^2 ) , then find the value of : (√((b/a) )) =?

$$ \\ $$$$\:\:\:\:\:{Q}:\:{In}\:{A}\overset{\Delta} {{B}C}\::\:\:\left(\:{AB}={AC}={b}\:\right)\:{and}\:\:\left(\:{BC}={a}\:\right).\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:{If}\:\:,\:\:{cos}\:\left({A}\:\right)=\:\frac{{a}^{\mathrm{2}} }{{b}^{\mathrm{2}} }\:,\:\:\:\:{then}\:{find}\:{the}\:{value}\:{of}\::\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\sqrt{\frac{{b}}{{a}}\:}\:=? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\: \\ $$

Question Number 203726 Answers: 2 Comments: 1

Question Number 203737 Answers: 0 Comments: 0

Question Number 203701 Answers: 2 Comments: 0

Question Number 203695 Answers: 0 Comments: 1

Question Number 203694 Answers: 1 Comments: 0

Question Number 203693 Answers: 2 Comments: 0

Question Number 203690 Answers: 1 Comments: 0

Question Number 203688 Answers: 0 Comments: 3

Question Number 203687 Answers: 0 Comments: 0

Question Number 203686 Answers: 0 Comments: 0

Question Number 203685 Answers: 0 Comments: 0

Question Number 203681 Answers: 2 Comments: 0

∫_1 ^(+oo) (1/(x(√(x^2 +x+1))))dx

$$\int_{\mathrm{1}} ^{+{oo}} \frac{\mathrm{1}}{{x}\sqrt{{x}^{\mathrm{2}} +{x}+\mathrm{1}}}{dx} \\ $$

Question Number 203679 Answers: 0 Comments: 0

Question Number 203676 Answers: 1 Comments: 0

Question Number 203638 Answers: 2 Comments: 2

Question Number 203636 Answers: 1 Comments: 1

Question Number 203634 Answers: 2 Comments: 0

a_1 <a_2 <a_3 <...<a_k ((2^(289) +1)/(2^(17) +1)) = 2^a_1 +2^a_2 +...+2^a_k

$$\: \\ $$$$ \\ $$$$ \mathrm{a}_{\mathrm{1}} <\mathrm{a}_{\mathrm{2}} <\mathrm{a}_{\mathrm{3}} <...<\mathrm{a}_{\mathrm{k}} \\ $$$$\: \frac{\mathrm{2}^{\mathrm{289}} +\mathrm{1}}{\mathrm{2}^{\mathrm{17}} +\mathrm{1}}\:=\:\mathrm{2}^{\mathrm{a}_{\mathrm{1}} } \:+\mathrm{2}^{\mathrm{a}_{\mathrm{2}} } +...+\mathrm{2}^{\mathrm{a}_{\mathrm{k}} } \\ $$$$\: \\ $$

Question Number 203632 Answers: 0 Comments: 0

Question Number 203625 Answers: 2 Comments: 0

Question Number 203615 Answers: 1 Comments: 0

I = ∫_0 ^(π/2) (x^2 /(1+sin^2 (x)))dx

$${I}\:=\:\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \frac{{x}^{\mathrm{2}} }{\mathrm{1}+\mathrm{sin}^{\mathrm{2}} \:\left({x}\right)}{dx} \\ $$

Question Number 203613 Answers: 1 Comments: 2

Question Number 203605 Answers: 0 Comments: 3

Value of x?

$$\mathrm{Value}\:\mathrm{of}\:\boldsymbol{\mathrm{x}}? \\ $$

Question Number 203602 Answers: 2 Comments: 0

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