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Question Number 50085 Answers: 0 Comments: 0

5^(x+2) −95^x =2^(x+9) +1132^x

$$\mathrm{5}^{{x}+\mathrm{2}} −\mathrm{95}^{{x}} =\mathrm{2}^{{x}+\mathrm{9}} +\mathrm{1132}^{{x}} \\ $$

Question Number 50084 Answers: 0 Comments: 0

could you help me sir?

$$\mathrm{could}\:\mathrm{you}\:\mathrm{help}\:\mathrm{me}\:\mathrm{sir}? \\ $$

Question Number 50083 Answers: 0 Comments: 0

Question Number 50080 Answers: 1 Comments: 0

a) if f(x)=log(x+2), solve the equation: 2^(f(x−2)) ×2^(f(2x+2)) =4^(logf(x))

$$\left.{a}\right)\:{if}\:{f}\left({x}\right)={log}\left({x}+\mathrm{2}\right),\:{solve}\:{the}\:{equation}: \\ $$$$\mathrm{2}^{{f}\left({x}−\mathrm{2}\right)} ×\mathrm{2}^{{f}\left(\mathrm{2}{x}+\mathrm{2}\right)} =\mathrm{4}^{{logf}\left({x}\right)} \\ $$

Question Number 50065 Answers: 3 Comments: 0

Question Number 50064 Answers: 3 Comments: 0

if y^x =x^y and y and x are both not equal to 0 and l find the value of x and y

Question Number 50052 Answers: 5 Comments: 1

Question Number 50047 Answers: 1 Comments: 0

Question Number 50048 Answers: 3 Comments: 4

Question Number 50017 Answers: 0 Comments: 4

CONGRATULATIONS ! Tinkutara- our forum on having above 50000 question posts.

$$\mathcal{CONGRATULATIONS}\:! \\ $$$${Tinkutara}-\:{our}\:{forum}\:{on} \\ $$$${having}\:{above}\:\mathrm{50000}\:{question}\:{posts}. \\ $$

Question Number 50016 Answers: 2 Comments: 0

Can you please help me how can i solve this equation x=0.055(1.44x^2 −6.336x+6.9696)

$${Can}\:{you}\:{please}\:{help}\:{me}\: \\ $$$${how}\:{can}\:{i}\:{solve}\:{this}\:{equation}\: \\ $$$${x}=\mathrm{0}.\mathrm{055}\left(\mathrm{1}.\mathrm{44}{x}^{\mathrm{2}} −\mathrm{6}.\mathrm{336}{x}+\mathrm{6}.\mathrm{9696}\right) \\ $$

Question Number 50012 Answers: 0 Comments: 0

help me sir plz

$$\mathrm{help}\:\mathrm{me}\:\mathrm{sir}\:\mathrm{plz} \\ $$$$ \\ $$$$ \\ $$

Question Number 50011 Answers: 3 Comments: 0

Question Number 50010 Answers: 0 Comments: 2

Question Number 50008 Answers: 1 Comments: 4

5−digit number divisible by 3 formed using 0,1,2,3,4,5 without repetition. Total number of such no.s is ?

$$\mathrm{5}−{digit}\:{number}\:{divisible}\:{by}\:\mathrm{3}\:{formed} \\ $$$${using}\:\mathrm{0},\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5}\:{without}\:{repetition}. \\ $$$${Total}\:{number}\:{of}\:{such}\:{no}.{s}\:{is}\:? \\ $$

Question Number 50007 Answers: 1 Comments: 1

For a < x < b, find ∫_a ^b (√(x−a)) . (√(b−x)) dx

$$\mathrm{For}\:{a}\:<\:{x}\:<\:{b},\:\mathrm{find}\: \\ $$$$\underset{{a}} {\overset{{b}} {\int}}\:\sqrt{{x}−{a}}\:.\:\sqrt{{b}−{x}}\:{dx} \\ $$

Question Number 49987 Answers: 1 Comments: 4

Question Number 49984 Answers: 1 Comments: 1

Question Number 49983 Answers: 1 Comments: 0

Find the domain of the function and sketch the graph f(x) = { ((2x − 1, if x < 0)),((x^2 , if 0 ≤ x ≤ 2)),((1 , if x ≤ 2)) :}

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{domain}\:\mathrm{of}\:\mathrm{the}\:\mathrm{function}\:\mathrm{and}\:\mathrm{sketch}\:\mathrm{the}\:\mathrm{graph} \\ $$$$\:\:\:\:\mathrm{f}\left(\mathrm{x}\right)\:\:=\:\:\begin{cases}{\mathrm{2x}\:−\:\mathrm{1},\:\:\:\:\:\:\:\:\:\:\:\mathrm{if}\:\:\:\:\:\:\:\:\mathrm{x}\:<\:\mathrm{0}}\\{\mathrm{x}^{\mathrm{2}} \:,\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{if}\:\:\:\:\:\:\mathrm{0}\:\leqslant\:\mathrm{x}\:\leqslant\:\mathrm{2}}\\{\mathrm{1}\:,\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{if}\:\:\:\:\:\:\:\mathrm{x}\:\leqslant\:\mathrm{2}}\end{cases} \\ $$

Question Number 49982 Answers: 1 Comments: 0

If (n_P_r /n_C_r ) −1=5, find the value of r

$$\mathrm{If}\:\frac{\mathrm{n}_{\mathrm{P}_{\mathrm{r}} } }{\mathrm{n}_{\mathrm{C}_{\mathrm{r}} } }\:−\mathrm{1}=\mathrm{5},\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{r} \\ $$

Question Number 49976 Answers: 0 Comments: 3

Question Number 49970 Answers: 2 Comments: 1

Question Number 49968 Answers: 0 Comments: 1

find f(x) =∫_0 ^(+∞) ((t arctan(xt))/(1+t^4 )) dt

$${find}\:{f}\left({x}\right)\:=\int_{\mathrm{0}} ^{+\infty} \:\:\:\frac{{t}\:{arctan}\left({xt}\right)}{\mathrm{1}+{t}^{\mathrm{4}} }\:{dt} \\ $$

Question Number 49967 Answers: 0 Comments: 1

calculate ∫_0 ^(+∞) (dx/((x^2 −i)^2 ))

$$\:\:{calculate}\:\int_{\mathrm{0}} ^{+\infty} \:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} −{i}\right)^{\mathrm{2}} } \\ $$

Question Number 49966 Answers: 1 Comments: 1

A conveyor belt is driven at velocity v by a motor.Sand drops vertically on to the belt at a rate of mkg/s. What is the additional power needed to keep the conveyor belt moving at a steady speed when the sand starts to fall on it? a)(1/2)mv b)mv c)(1/2)mv^2 d)mv^2

$${A}\:{conveyor}\:{belt}\:{is}\:{driven}\:{at}\:{velocity} \\ $$$${v}\:{by}\:{a}\:{motor}.{Sand}\:{drops}\:{vertically} \\ $$$${on}\:{to}\:{the}\:{belt}\:{at}\:{a}\:{rate}\:{of}\:\boldsymbol{{m}}{kg}/{s}. \\ $$$${What}\:{is}\:{the}\:{additional}\:{power} \\ $$$${needed}\:{to}\:{keep}\:{the}\:{conveyor}\:{belt} \\ $$$${moving}\:{at}\:{a}\:{steady}\:{speed}\:{when} \\ $$$${the}\:{sand}\:{starts}\:{to}\:{fall}\:{on}\:{it}? \\ $$$$\left.{a}\left.\right)\left.\frac{\mathrm{1}}{\mathrm{2}}\left.{mv}\:{b}\right){mv}\:{c}\right)\frac{\mathrm{1}}{\mathrm{2}}{mv}^{\mathrm{2}} \:{d}\right){mv}^{\mathrm{2}} \\ $$

Question Number 49964 Answers: 1 Comments: 2

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