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Question Number 77651 Answers: 1 Comments: 4

Question Number 77631 Answers: 1 Comments: 0

x^(log_3 (2)) =(√x)+1

$${x}^{{log}_{\mathrm{3}} \left(\mathrm{2}\right)} =\sqrt{{x}}+\mathrm{1} \\ $$

Question Number 77616 Answers: 0 Comments: 5

Question Number 77614 Answers: 1 Comments: 6

Question Number 77608 Answers: 0 Comments: 0

∫((( ln∣tan(((nx)/2)+(π/4))∣ )^2 )/(x^2 +1)) dx ;n>0

$$\int\frac{\left(\:{ln}\mid{tan}\left(\frac{{nx}}{\mathrm{2}}+\frac{\pi}{\mathrm{4}}\right)\mid\:\right)^{\mathrm{2}} }{{x}^{\mathrm{2}} +\mathrm{1}}\:{dx}\:\:;{n}>\mathrm{0}\: \\ $$

Question Number 77607 Answers: 0 Comments: 2

Two bell A and B rings in different time interval. Bell A rings in the interval of 8minutes while Bell B rings in the interval of 9minutes. If the two bell rings together for the first time when the time is 10:00am (a) At what time will the two bell ring together again. (b) State and explain two process you will use to help SHS student to solve the problem.

$$\mathrm{Two}\:\mathrm{bell}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:\mathrm{rings}\:\mathrm{in}\:\mathrm{different}\: \\ $$$$\mathrm{time}\:\mathrm{interval}.\:\mathrm{Bell}\:\mathrm{A}\:\mathrm{rings}\:\mathrm{in}\:\mathrm{the}\: \\ $$$$\mathrm{interval}\:\mathrm{of}\:\mathrm{8minutes}\:\mathrm{while}\:\mathrm{Bell}\:\mathrm{B}\:\mathrm{rings} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{interval}\:\mathrm{of}\:\mathrm{9minutes}.\:\:\mathrm{If}\:\mathrm{the}\:\mathrm{two} \\ $$$$\mathrm{bell}\:\mathrm{rings}\:\mathrm{together}\:\mathrm{for}\:\mathrm{the}\:\mathrm{first}\:\mathrm{time}\: \\ $$$$\mathrm{when}\:\mathrm{the}\:\mathrm{time}\:\mathrm{is}\:\mathrm{10}:\mathrm{00am} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{At}\:\mathrm{what}\:\mathrm{time}\:\mathrm{will}\:\mathrm{the}\:\mathrm{two}\:\mathrm{bell}\:\mathrm{ring} \\ $$$$\mathrm{together}\:\mathrm{again}. \\ $$$$\left(\mathrm{b}\right)\:\mathrm{State}\:\mathrm{and}\:\mathrm{explain}\:\mathrm{two}\:\mathrm{process}\:\mathrm{you}\: \\ $$$$\mathrm{will}\:\mathrm{use}\:\mathrm{to}\:\mathrm{help}\:\mathrm{SHS}\:\mathrm{student}\:\mathrm{to}\:\mathrm{solve}\: \\ $$$$\mathrm{the}\:\mathrm{problem}. \\ $$

Question Number 77605 Answers: 0 Comments: 0

how to solve : y′′+p(x)y′+q(x)y=r(x)

$$\mathrm{how}\:\mathrm{to}\:\mathrm{solve}\:: \\ $$$$\mathrm{y}''+\mathrm{p}\left(\mathrm{x}\right)\mathrm{y}'+\mathrm{q}\left(\mathrm{x}\right)\mathrm{y}=\mathrm{r}\left(\mathrm{x}\right) \\ $$

Question Number 77604 Answers: 2 Comments: 0

given (((a−b)(b−c)(c−a))/((a+b)(b+c)(c+a)))=−(1/(30)) what the value of (b/(a+b))+(c/(b+c))+(a/(c+a)) ?

$${given} \\ $$$$\frac{\left({a}−{b}\right)\left({b}−{c}\right)\left({c}−{a}\right)}{\left({a}+{b}\right)\left({b}+{c}\right)\left({c}+{a}\right)}=−\frac{\mathrm{1}}{\mathrm{30}} \\ $$$${what}\:{the}\:{value}\:{of}\: \\ $$$$\frac{{b}}{{a}+{b}}+\frac{{c}}{{b}+{c}}+\frac{{a}}{{c}+{a}}\:? \\ $$

Question Number 77603 Answers: 1 Comments: 1

∫((10x^2 −8x+1)/(x^4 −x^3 −x+1))dx

$$\int\frac{\mathrm{10}{x}^{\mathrm{2}} −\mathrm{8}{x}+\mathrm{1}}{{x}^{\mathrm{4}} −{x}^{\mathrm{3}} −{x}+\mathrm{1}}{dx} \\ $$$$ \\ $$

Question Number 77593 Answers: 0 Comments: 10

Question Number 77591 Answers: 1 Comments: 5

x + (1/x) = 1 x^(100) + (1/x^(100) ) = ? x^(2020) + (1/x^(2020) ) = ?

$${x}\:+\:\frac{\mathrm{1}}{{x}}\:\:=\:\:\mathrm{1} \\ $$$${x}^{\mathrm{100}} \:+\:\frac{\mathrm{1}}{{x}^{\mathrm{100}} }\:\:=\:\:? \\ $$$${x}^{\mathrm{2020}} \:+\:\frac{\mathrm{1}}{{x}^{\mathrm{2020}} }\:\:=\:\:? \\ $$

Question Number 77574 Answers: 0 Comments: 9

what is maximum value of y= (3x+4)^2 ×sin (2x)

$${what}\:{is}\:{maximum}\: \\ $$$${value}\:{of}\:{y}=\:\left(\mathrm{3}{x}+\mathrm{4}\right)^{\mathrm{2}} ×\mathrm{sin}\:\left(\mathrm{2}{x}\right) \\ $$

Question Number 77573 Answers: 0 Comments: 2

xln x =((143851)/(40000)) solve for x ⇒ nice surprise

$${x}\mathrm{ln}\:{x}\:=\frac{\mathrm{143851}}{\mathrm{40000}} \\ $$$$\mathrm{solve}\:\mathrm{for}\:{x}\:\Rightarrow\:\mathrm{nice}\:\mathrm{surprise} \\ $$

Question Number 77570 Answers: 1 Comments: 0

∫_( 0) ^( 1) log(((1 + x + x^2 + x^3 + x^4 )/(√(1 + (1/x) + (1/x^2 ) + (1/x^3 ) + (1/x^4 ))))) dx

$$\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \:\:\mathrm{log}\left(\frac{\mathrm{1}\:+\:\mathrm{x}\:+\:\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{x}^{\mathrm{3}} \:+\:\mathrm{x}^{\mathrm{4}} }{\sqrt{\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{x}}\:+\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{3}} }\:+\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{4}} }}}\right)\:\mathrm{dx} \\ $$

Question Number 77565 Answers: 0 Comments: 6

Question Number 77556 Answers: 0 Comments: 2

1. 1×1!×2!+2×2!×3!+3×3!×4!+....=? 2. ((1+(√2))/(2+(√3)))+((2+(√3))/(3+(√4)))+((3+(√4))/(4+(√5)))+......=? 3. (1/(1+(√2)+(√3)))+(2/((√2)+(√3)+(√4)))+(3/((√3)+(√4)+(√5)))+....=?

$$\mathrm{1}.\:\:\:\mathrm{1}×\mathrm{1}!×\mathrm{2}!+\mathrm{2}×\mathrm{2}!×\mathrm{3}!+\mathrm{3}×\mathrm{3}!×\mathrm{4}!+....=? \\ $$$$\mathrm{2}.\:\:\:\:\frac{\mathrm{1}+\sqrt{\mathrm{2}}}{\mathrm{2}+\sqrt{\mathrm{3}}}+\frac{\mathrm{2}+\sqrt{\mathrm{3}}}{\mathrm{3}+\sqrt{\mathrm{4}}}+\frac{\mathrm{3}+\sqrt{\mathrm{4}}}{\mathrm{4}+\sqrt{\mathrm{5}}}+......=? \\ $$$$\mathrm{3}.\:\:\:\frac{\mathrm{1}}{\mathrm{1}+\sqrt{\mathrm{2}}+\sqrt{\mathrm{3}}}+\frac{\mathrm{2}}{\sqrt{\mathrm{2}}+\sqrt{\mathrm{3}}+\sqrt{\mathrm{4}}}+\frac{\mathrm{3}}{\sqrt{\mathrm{3}}+\sqrt{\mathrm{4}}+\sqrt{\mathrm{5}}}+....=?\: \\ $$

Question Number 77552 Answers: 1 Comments: 0

∫((x−2)/(x^2 −x+1))dx = ?

$$\int\frac{\mathrm{x}−\mathrm{2}}{\mathrm{x}^{\mathrm{2}} −{x}+\mathrm{1}}{dx}\:=\:? \\ $$

Question Number 77554 Answers: 0 Comments: 1