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AllQuestion and Answers: Page 302

Question Number 190774 Answers: 0 Comments: 0

Question Number 190769 Answers: 0 Comments: 0

Question Number 190765 Answers: 1 Comments: 0

Question Number 190760 Answers: 1 Comments: 0

Question Number 190754 Answers: 1 Comments: 0

I = ∫_0 ^( π) e^(acos t) cos (asin t)dt

$$\:\:\:\:\:\:{I}\:\:\:=\:\:\:\:\int_{\mathrm{0}} ^{\:\pi} {e}^{{a}\mathrm{cos}\:{t}} \:\mathrm{cos}\:\left({a}\mathrm{sin}\:\:{t}\right){dt} \\ $$

Question Number 190746 Answers: 2 Comments: 0

Question Number 190745 Answers: 0 Comments: 0

Give M is any point in ABC triangle. Prove that MA+MB+MC<AC+BC

$${Give}\:{M}\:{is}\:{any}\:{point}\:{in}\:{ABC}\:{triangle}.\:{Prove}\:{that}\:{MA}+{MB}+{MC}<{AC}+{BC} \\ $$

Question Number 190740 Answers: 1 Comments: 0

∫(dx/((x^2 +5)^2 ))=?

$$\int\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{5}\right)^{\mathrm{2}} }=? \\ $$

Question Number 190732 Answers: 3 Comments: 0

Question Number 190731 Answers: 2 Comments: 0

(4a^2 −19a−5)x^2 +a^2 x+a+3=0 x_1 ,x_2 are roots when , x_1 <0 ,x_2 >0 , ∣x_1 ∣−x_2 >0 interval of max(a)=? solution??

$$\left(\mathrm{4a}^{\mathrm{2}} −\mathrm{19a}−\mathrm{5}\right)\mathrm{x}^{\mathrm{2}} +\mathrm{a}^{\mathrm{2}} \mathrm{x}+\mathrm{a}+\mathrm{3}=\mathrm{0} \\ $$$$\mathrm{x}_{\mathrm{1}} ,\mathrm{x}_{\mathrm{2}} \mathrm{are}\:\mathrm{roots} \\ $$$$\mathrm{when}\:,\:\mathrm{x}_{\mathrm{1}} <\mathrm{0}\:\:\:,\mathrm{x}_{\mathrm{2}} >\mathrm{0}\:\:,\:\mid\mathrm{x}_{\mathrm{1}} \mid−\mathrm{x}_{\mathrm{2}} >\mathrm{0} \\ $$$$\mathrm{interval}\:\mathrm{of}\:\:\:\mathrm{max}\left(\mathrm{a}\right)=? \\ $$$$\mathrm{solution}?? \\ $$

Question Number 190730 Answers: 3 Comments: 0

∣x^2 −8x+18∣+∣y−3∣=5 all value of y=?? how money value of y is possible??

$$\mid\mathrm{x}^{\mathrm{2}} −\mathrm{8x}+\mathrm{18}\mid+\mid\mathrm{y}−\mathrm{3}\mid=\mathrm{5} \\ $$$$\mathrm{all}\:\mathrm{value}\:\mathrm{of}\:\mathrm{y}=?? \\ $$$$\mathrm{how}\:\mathrm{money}\:\mathrm{value}\:\mathrm{of}\:\mathrm{y}\:\mathrm{is}\:\mathrm{possible}?? \\ $$

Question Number 190738 Answers: 0 Comments: 0

∫_0 ^( (π/2)) (((sin((x/2^n )))/(sinx))) dx , n ∈ N

$$\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \:\left(\frac{{sin}\left(\frac{{x}}{\mathrm{2}^{{n}} }\right)}{{sinx}}\right)\:{dx}\:,\:{n}\:\in\:\mathbb{N} \\ $$

Question Number 190719 Answers: 0 Comments: 0

Find the real part of Re(((𝚪(a+1))/((1−a)^(a+1) )))=?

$$\boldsymbol{\mathrm{F}{ind}}\:\boldsymbol{{the}}\:\boldsymbol{{real}}\:\boldsymbol{{part}}\:\boldsymbol{{of}} \\ $$$$\boldsymbol{\mathrm{R}{e}}\left(\frac{\boldsymbol{\Gamma}\left({a}+\mathrm{1}\right)}{\left(\mathrm{1}−{a}\right)^{{a}+\mathrm{1}} }\right)=? \\ $$

Question Number 190717 Answers: 2 Comments: 0

if x^2 +(m−2)x+2m=0 and (x_1 −1)(x_2 −1)=1 then find the value of m=?

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

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

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

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