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Question Number 190716 Answers: 0 Comments: 0

if x+2+((m+2)/(m−2))=1 and x_1 ∙x_2 =2 then find the value of m=?

$${if}\:{x}+\mathrm{2}+\frac{{m}+\mathrm{2}}{{m}−\mathrm{2}}=\mathrm{1}\:\:{and}\:\:\:{x}_{\mathrm{1}} \centerdot{x}_{\mathrm{2}} =\mathrm{2}\:\:{then} \\ $$$${find}\:{the}\:{value}\:{of}\:\:{m}=? \\ $$

Question Number 190715 Answers: 1 Comments: 0

if (5m−1)x^2 −(5m+2)x+3m−2=0 and x_1 =x_2 then find m=?

$${if}\:\left(\mathrm{5}{m}−\mathrm{1}\right){x}^{\mathrm{2}} −\left(\mathrm{5}{m}+\mathrm{2}\right){x}+\mathrm{3}{m}−\mathrm{2}=\mathrm{0} \\ $$$${and}\:\:{x}_{\mathrm{1}} ={x}_{\mathrm{2}} \:\:{then}\:{find}\:\:{m}=? \\ $$

Question Number 190708 Answers: 1 Comments: 0

Question Number 190705 Answers: 1 Comments: 0

Question Number 190704 Answers: 1 Comments: 0

f(x+y)=f(x)+f(y)+x∙y f(4)=10 finde f(2022)=?

$${f}\left({x}+{y}\right)={f}\left({x}\right)+{f}\left({y}\right)+{x}\centerdot{y} \\ $$$${f}\left(\mathrm{4}\right)=\mathrm{10}\:\:{finde}\:{f}\left(\mathrm{2022}\right)=? \\ $$

Question Number 190702 Answers: 0 Comments: 0

Calcule: I=∫_o ^(𝛑/3) x^2 (sinx)^2 dx

$$\boldsymbol{\mathrm{Calcule}}:\:\:\boldsymbol{\mathrm{I}}=\int_{\boldsymbol{\mathrm{o}}} ^{\frac{\boldsymbol{\pi}}{\mathrm{3}}} \boldsymbol{\mathrm{x}}^{\mathrm{2}} \left(\boldsymbol{\mathrm{sinx}}\right)^{\mathrm{2}} \boldsymbol{\mathrm{dx}} \\ $$

Question Number 190700 Answers: 1 Comments: 0

Question Number 190699 Answers: 0 Comments: 0

Question Number 190694 Answers: 1 Comments: 1

Question Number 190692 Answers: 1 Comments: 0

calculate 𝛗 = ∫_0 ^( ∞) (( sin^( 3) (x ) ln( x ))/x) dx = ? @ nice − mathematics

$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\mathrm{calculate}\: \\ $$$$\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\boldsymbol{\phi}\:=\:\int_{\mathrm{0}} ^{\:\infty} \frac{\:\mathrm{sin}^{\:\mathrm{3}} \left({x}\:\right)\:\mathrm{ln}\left(\:{x}\:\right)}{{x}}\:\mathrm{d}{x}\:=\:?\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:@\:\mathrm{nice}\:−\:\mathrm{mathematics}\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$

Question Number 190686 Answers: 2 Comments: 0

find the value of x e^(ln(2x+5)) =lne(8x+3)

$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x} \\ $$$${e}^{\mathrm{ln}\left(\mathrm{2}{x}+\mathrm{5}\right)} =\mathrm{ln}{e}\left(\mathrm{8}{x}+\mathrm{3}\right) \\ $$

Question Number 190679 Answers: 2 Comments: 0

lim_(x→∞) (e^x /x^(60!) )=? pleas solve this

$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\frac{{e}^{{x}} }{{x}^{\mathrm{60}!} }=? \\ $$$${pleas}\:{solve}\:{this} \\ $$

Question Number 190678 Answers: 2 Comments: 0

Question Number 190677 Answers: 0 Comments: 0

If x ∈ R a_1 ,a_2 ,a_3 , b_1 ,b_2 ,b_3 > 0 Then prove that: a_1 ^(sin^2 x) b_1 ^(cos^2 x) + a_2 ^(sin^2 x) b_2 ^(cos^2 x) + a_3 ^(sin^2 x) b_3 ^(cos^2 x) ≤ ≤ (a_1 + a_2 + a_3 )^(sin^2 x) (b_1 + b_2 + b_3 )^(cos^2 x)

Question Number 190672 Answers: 2 Comments: 0

Question Number 190667 Answers: 2 Comments: 0

Question Number 190665 Answers: 0 Comments: 0

Question Number 190660 Answers: 2 Comments: 0

if y = sin^(−1) (2x(√(1−x^2 ))) where x∈[−(1/( (√2))), (1/( (√2)))], then find (dy/dx).

$${if}\:{y}\:=\:{sin}^{−\mathrm{1}} \left(\mathrm{2}{x}\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }\right)\:{where}\:{x}\in\left[−\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}},\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\right],\:{then}\:{find}\:\frac{{dy}}{{dx}}. \\ $$

Question Number 190659 Answers: 0 Comments: 0

Prove that: ((cos (π/9)))^(1/3) − ((cos ((2π)/9)))^(1/3) − ((cos ((4π)/9)))^(1/3) = ((3 − (3/2) (9)^(1/3) ))^(1/3)

$$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\sqrt[{\mathrm{3}}]{\mathrm{cos}\:\frac{\pi}{\mathrm{9}}}\:−\:\sqrt[{\mathrm{3}}]{\mathrm{cos}\:\frac{\mathrm{2}\pi}{\mathrm{9}}}\:−\:\sqrt[{\mathrm{3}}]{\mathrm{cos}\:\frac{\mathrm{4}\pi}{\mathrm{9}}} \\ $$$$=\:\sqrt[{\mathrm{3}}]{\mathrm{3}\:−\:\frac{\mathrm{3}}{\mathrm{2}}\:\sqrt[{\mathrm{3}}]{\mathrm{9}}}\: \\ $$

Question Number 190652 Answers: 0 Comments: 0

Question Number 190636 Answers: 0 Comments: 0

Question Number 190634 Answers: 2 Comments: 6

The volume of a right circular cone is 5litres. Calculate the volume of the part into which the cone is divided by a plane parallel to the base one−third of the way down from the vertex to the base giving your answer to the nearest millimetres. Help!

$$\mathrm{The}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{a}\:\mathrm{right}\:\mathrm{circular}\:\mathrm{cone} \\ $$$$\mathrm{is}\:\mathrm{5litres}.\:\mathrm{Calculate}\:\mathrm{the}\:\mathrm{volume}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{part}\:\mathrm{into}\:\mathrm{which}\:\mathrm{the}\:\mathrm{cone}\:\mathrm{is} \\ $$$$\mathrm{divided}\:\mathrm{by}\:\mathrm{a}\:\mathrm{plane}\:\mathrm{parallel}\:\mathrm{to}\:\mathrm{the} \\ $$$$\mathrm{base}\:\mathrm{one}−\mathrm{third}\:\mathrm{of}\:\mathrm{the}\:\mathrm{way}\:\mathrm{down} \\ $$$$\mathrm{from}\:\mathrm{the}\:\mathrm{vertex}\:\mathrm{to}\:\mathrm{the}\:\mathrm{base}\:\mathrm{giving} \\ $$$$\mathrm{your}\:\mathrm{answer}\:\mathrm{to}\:\mathrm{the}\:\mathrm{nearest}\: \\ $$$$\mathrm{millimetres}. \\ $$$$ \\ $$$$ \\ $$$$\mathrm{Help}! \\ $$

Question Number 190629 Answers: 0 Comments: 1

Question Number 190625 Answers: 1 Comments: 0

solve in R : ⌊ (1/x) ⌋ + ⌊ x ⌋ = 2

$$ \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{solve}\:\mathrm{in}\:\:\:\mathbb{R}\:\:\:: \\ $$$$\:\:\:\:\:\:\:\:\lfloor\:\frac{\mathrm{1}}{{x}}\:\rfloor\:\:+\:\lfloor\:{x}\:\rfloor\:=\:\mathrm{2}\:\:\:\:\: \\ $$$$ \\ $$

Question Number 190624 Answers: 2 Comments: 0

Question Number 190623 Answers: 2 Comments: 0

calculate : Σ_(n=1) ^∞ (( (−1)^( n−1) )/n) cos ((( nπ)/3) ) =?

$$ \\ $$$$\:\:\:\:\:\:\mathrm{calculate}\:: \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\:\left(−\mathrm{1}\right)^{\:{n}−\mathrm{1}} }{{n}}\:\mathrm{cos}\:\left(\frac{\:{n}\pi}{\mathrm{3}}\:\right)\:=? \\ $$$$ \\ $$

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