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Question Number 55401 Answers: 0 Comments: 3

any wanna blow their mind

$${any}\:{wanna}\:{blow}\:{their}\:{mind} \\ $$

Question Number 55415 Answers: 2 Comments: 0

a, b, d are gp. such that a, b, c are real. if a + b + c = 26 and a^2 + b^2 + c^2 = 364, find b ?

$$\mathrm{a},\:\mathrm{b},\:\mathrm{d}\:\:\mathrm{are}\:\mathrm{gp}.\:\mathrm{such}\:\mathrm{that}\:\:\mathrm{a},\:\mathrm{b},\:\mathrm{c}\:\mathrm{are}\:\mathrm{real}.\:\:\mathrm{if}\:\: \\ $$$$\mathrm{a}\:+\:\mathrm{b}\:+\:\mathrm{c}\:\:=\:\:\mathrm{26}\:\:\:\mathrm{and}\:\:\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} \:+\:\mathrm{c}^{\mathrm{2}} \:\:=\:\:\mathrm{364},\:\:\:\:\:\mathrm{find}\:\:\mathrm{b}\:\:? \\ $$

Question Number 55412 Answers: 0 Comments: 0

Solve for x and y. 2^x + 2y = 1 ....... equation (i) 3^(2x) + y = 27 ..... equation (ii)

$$\mathrm{Solve}\:\mathrm{for}\:\:\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}. \\ $$$$\:\:\:\:\:\:\:\:\mathrm{2}^{\mathrm{x}} \:+\:\mathrm{2y}\:\:=\:\:\mathrm{1}\:\:\:\:\:\:\:.......\:\:\mathrm{equation}\:\left(\mathrm{i}\right) \\ $$$$\:\:\:\:\:\:\:\:\mathrm{3}^{\mathrm{2x}} \:+\:\mathrm{y}\:\:=\:\:\mathrm{27}\:\:\:\:\:\:\:\:.....\:\:\mathrm{equation}\:\left(\mathrm{ii}\right) \\ $$

Question Number 55411 Answers: 1 Comments: 0

Question Number 55410 Answers: 1 Comments: 0

Question Number 55408 Answers: 1 Comments: 0

Question Number 55375 Answers: 1 Comments: 1

Question Number 55374 Answers: 1 Comments: 0

Given matrices A(x)= [((x−1),3),(4,(x+3)) ]∈ M_2 (R). The smallest det(A(x)) is..

$$\mathrm{Given}\:\mathrm{matrices}\:{A}\left({x}\right)=\begin{bmatrix}{{x}−\mathrm{1}}&{\mathrm{3}}\\{\mathrm{4}}&{{x}+\mathrm{3}}\end{bmatrix}\in\:{M}_{\mathrm{2}} \left(\mathbb{R}\right). \\ $$$$\mathrm{The}\:\mathrm{smallest}\:\mathrm{det}\left({A}\left({x}\right)\right)\:\mathrm{is}.. \\ $$

Question Number 55373 Answers: 1 Comments: 1

lim_(n→∝) ∫_0 ^1 ((x^n e^x^n )/(cos x)) dx=...

$$\underset{{n}\rightarrow\propto} {\mathrm{lim}}\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{{n}} {e}^{{x}^{{n}} } }{\mathrm{cos}\:{x}}\:{dx}=... \\ $$

Question Number 55368 Answers: 1 Comments: 0

Question Number 55364 Answers: 0 Comments: 0

prove that ∫_(−∞ ) ^∞ f(x)dx=1 such that f(x)=(1/((√n) β((n/2),(1/2))))(1+(x^2 /n))^(−(1/2)(1+n)) and β((n/2),(1/2))=∫_0 ^∞ (x^((n/2)−1) /((1+x)^(3/2) ))dx

$$\mathrm{prove}\:\mathrm{that}\:\int_{−\infty\:} ^{\infty} \mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}=\mathrm{1} \\ $$$$\mathrm{such}\:\mathrm{that}\:\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\sqrt{\mathrm{n}}\:\beta\left(\frac{\mathrm{n}}{\mathrm{2}},\frac{\mathrm{1}}{\mathrm{2}}\right)}\left(\mathrm{1}+\frac{\mathrm{x}^{\mathrm{2}} }{\mathrm{n}}\right)^{−\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{1}+\mathrm{n}\right)} \\ $$$$\mathrm{and}\:\beta\left(\frac{\mathrm{n}}{\mathrm{2}},\frac{\mathrm{1}}{\mathrm{2}}\right)=\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{x}^{\frac{\mathrm{n}}{\mathrm{2}}−\mathrm{1}} }{\left(\mathrm{1}+\mathrm{x}\right)^{\frac{\mathrm{3}}{\mathrm{2}}} }\mathrm{dx} \\ $$

Question Number 55362 Answers: 2 Comments: 1

Question Number 55360 Answers: 2 Comments: 1

∫_1 ^( 2) (√(sin (3x−x^2 −2)))dx + (1/2)∫_3 ^1 (√(sin(((4t−t^2 −3)/4))))dt =?

$$\:\int_{\mathrm{1}} ^{\:\mathrm{2}} \sqrt{\mathrm{sin}\:\left(\mathrm{3}{x}−{x}^{\mathrm{2}} −\mathrm{2}\right)}{dx}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\int_{\mathrm{3}} ^{\mathrm{1}} \sqrt{{sin}\left(\frac{\mathrm{4}{t}−{t}^{\mathrm{2}} −\mathrm{3}}{\mathrm{4}}\right)}{dt}\:\:=? \\ $$

Question Number 55359 Answers: 1 Comments: 0

Find a formula for the general term of the squence 1, 2, 2, 3, 3, 3, 4, 4, 4,4, ...

$$\mathrm{Find}\:\mathrm{a}\:\mathrm{formula}\:\mathrm{for}\:\mathrm{the}\:\mathrm{general}\: \\ $$$$\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{squence} \\ $$$$\mathrm{1},\:\mathrm{2},\:\mathrm{2},\:\mathrm{3},\:\mathrm{3},\:\mathrm{3},\:\mathrm{4},\:\mathrm{4},\:\mathrm{4},\mathrm{4},\:... \\ $$

Question Number 55358 Answers: 0 Comments: 0

Determine all functions f : N → N satisfying xf(y)+yf(x)=(x+y)f(x^2 +y^2 ) for all positive integers x and y

$$\mathrm{Determine}\:\mathrm{all}\:\mathrm{functions}\:{f}\::\:\mathbb{N}\:\rightarrow\:\mathbb{N}\: \\ $$$$\mathrm{satisfying} \\ $$$${xf}\left({y}\right)+{yf}\left({x}\right)=\left({x}+{y}\right){f}\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right) \\ $$$$\mathrm{for}\:\mathrm{all}\:\mathrm{positive}\:\mathrm{integers}\:{x}\:\mathrm{and}\:{y} \\ $$

Question Number 55352 Answers: 0 Comments: 0

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Question Number 55351 Answers: 0 Comments: 0

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Question Number 55344 Answers: 0 Comments: 6

A whatsapp group contains 7 women and 3 men.If they are leaving the group one at a time from the group what is the probability of a woman leaving then a man leaving and so on alternately until only a woman is remaining?

$${A}\:{whatsapp}\:{group}\:{contains}\:\mathrm{7}\:{women} \\ $$$${and}\:\mathrm{3}\:{men}.{If}\:{they}\:{are}\:{leaving} \\ $$$${the}\:{group}\:{one}\:{at}\:{a}\:{time}\:{from}\:{the} \\ $$$${group}\:{what}\:{is}\:{the}\:{probability}\:{of}\:{a} \\ $$$${woman}\:{leaving}\:{then}\:{a}\:{man}\:{leaving} \\ $$$${and}\:{so}\:{on}\:{alternately}\:{until}\:{only}\:{a} \\ $$$${woman}\:{is}\:{remaining}? \\ $$$$ \\ $$

Question Number 55333 Answers: 1 Comments: 0

The sum of all but one of the interior angles of a convex polygon equals 2525° . find the measure of the exterior angle adjacent to the remaining interior angle. can you please help if possible with diagram

$${The}\:{sum}\:{of}\:{all}\:{but}\:{one}\:{of}\:{the}\:{interior} \\ $$$${angles}\:{of}\:{a}\:{convex}\:{polygon}\:{equals}\: \\ $$$$\mathrm{2525}°\:.\:{find}\:{the}\:{measure}\:{of}\:{the} \\ $$$${exterior}\:{angle}\:{adjacent}\:{to}\:{the} \\ $$$${remaining}\:{interior}\:{angle}.\: \\ $$$${can}\:{you}\:{please}\:{help}\:{if}\:{possible}\:{with} \\ $$$${diagram}\: \\ $$

Question Number 55331 Answers: 0 Comments: 0