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Question Number 170535    Answers: 0   Comments: 2

∫_c (cosxsiny−xy)dx+(sinx ∙cosy)dy faind integral on the opposite sid of the clock face in the c unit circle? solve this

$$\int_{{c}} \left({cosxsiny}−{xy}\right){dx}+\left({sinx}\:\centerdot{cosy}\right){dy} \\ $$$${faind}\:{integral}\:{on}\:{the}\:{opposite} \\ $$$${sid}\:{of}\:{the}\:{clock}\:{face}\:{in}\:{the} \\ $$$${c}\:{unit}\:{circle}? \\ $$$${solve}\:{this} \\ $$

Question Number 170520    Answers: 1   Comments: 2

solve for x (1+(1/x))^(x+1) =(1+(1/(10)))^(10)

$${solve}\:{for}\:{x} \\ $$$$\left(\mathrm{1}+\frac{\mathrm{1}}{{x}}\right)^{{x}+\mathrm{1}} =\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{10}}\right)^{\mathrm{10}} \\ $$

Question Number 170515    Answers: 2   Comments: 0

8 men and 12 women can complete a certain job for 6 days. The men work at 6/5 the rate at which the women work. How many men will be required to complete the job in 4 days

8 men and 12 women can complete a certain job for 6 days. The men work at 6/5 the rate at which the women work. How many men will be required to complete the job in 4 days

Question Number 170519    Answers: 1   Comments: 0

Evaluate : ∫_(−1) ^( +1) (x^2 /(1+2^x ))dx Please help me..

$$\:\:\:\:{Evaluate}\::\:\:\:\int_{−\mathrm{1}} ^{\:+\mathrm{1}} \frac{{x}^{\mathrm{2}} }{\mathrm{1}+\mathrm{2}^{{x}} }{dx} \\ $$$$\:\:\:\:{Please}\:{help}\:{me}.. \\ $$

Question Number 170512    Answers: 1   Comments: 1

How to find relative charge of an proton or electron?

$${How}\:{to}\:{find}\:{relative}\:{charge}\:{of}\:{an} \\ $$$${proton}\:{or}\:{electron}? \\ $$

Question Number 170511    Answers: 1   Comments: 1

what does relative charge mean?

$${what}\:{does}\:{relative}\:{charge}\:{mean}? \\ $$

Question Number 170522    Answers: 1   Comments: 0

Question Number 170503    Answers: 0   Comments: 1

tan90°=?

$$\mathrm{tan90}°=? \\ $$

Question Number 170502    Answers: 2   Comments: 0

Question Number 170501    Answers: 1   Comments: 0

solve this: ∫∫_D x^2 e^(xy) dxdy D:{(x.y)∈R^2 /0≤x≤1. 0≤y≤2} ∫∫_D ((ydxdy)/((1+x^2 +y^2 )^(3/2) )). 0≤x≤1.0≤y≤1.

$$\:\:\:\:\:\:\:\:\:\:{solve}\:{this}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int\int_{{D}} {x}^{\mathrm{2}} {e}^{{xy}} {dxdy} \\ $$$${D}:\left\{\left({x}.{y}\right)\in{R}^{\mathrm{2}} \:/\mathrm{0}\leqslant{x}\leqslant\mathrm{1}.\:\:\mathrm{0}\leqslant{y}\leqslant\mathrm{2}\right\} \\ $$$$\:\:\:\:\:\:\int\underset{{D}} {\int}\frac{{ydxdy}}{\left(\mathrm{1}+{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)^{\frac{\mathrm{3}}{\mathrm{2}}} }.\:\:\mathrm{0}\leqslant{x}\leqslant\mathrm{1}.\mathrm{0}\leqslant{y}\leqslant\mathrm{1}. \\ $$

Question Number 170497    Answers: 0   Comments: 0

Given that R is at the point with positive vector 4−2j when t=2 Find the position vector of R when t=3

$${Given}\:{that}\:{R}\:{is}\:{at}\:{the}\:{point}\:{with} \\ $$$${positive}\:{vector}\:\mathrm{4}−\mathrm{2}{j}\:{when}\:{t}=\mathrm{2} \\ $$$${Find}\:{the}\:{position}\:{vector}\:{of}\:{R} \\ $$$$\:{when}\:{t}=\mathrm{3} \\ $$

Question Number 170494    Answers: 0   Comments: 0

Question Number 170495    Answers: 1   Comments: 0

Question Number 170492    Answers: 0   Comments: 0

Question Number 170491    Answers: 1   Comments: 0

1) Help 5^x −3^x =9

$$\left.\mathrm{1}\right)\:{Help} \\ $$$$\mathrm{5}^{{x}} −\mathrm{3}^{{x}} =\mathrm{9}\: \\ $$

Question Number 170488    Answers: 1   Comments: 0

Question Number 170486    Answers: 0   Comments: 0

Question Number 170485    Answers: 2   Comments: 0

Question Number 170480    Answers: 0   Comments: 3

Question Number 170479    Answers: 0   Comments: 0

Question Number 170478    Answers: 2   Comments: 0

(( 9 + 4(√5) ))^(1/3) + (( 9 − 4(√5) ))^(1/3) = ?

$$\sqrt[{\mathrm{3}}]{\:\mathrm{9}\:+\:\mathrm{4}\sqrt{\mathrm{5}}\:}\:+\:\sqrt[{\mathrm{3}}]{\:\mathrm{9}\:−\:\mathrm{4}\sqrt{\mathrm{5}}\:}\:=\:? \\ $$

Question Number 170475    Answers: 0   Comments: 0

An easy question of Measure theory: Prove that : μ ( Q )=0 ■m.n

$$ \\ $$$$\:\:\:\:\:\:\:{An}\:{easy}\:{question}\:{of}\:{Measure}\:{theory}: \\ $$$$ \\ $$$$\:\:\:\:\:{Prove}\:{that}\::\:\:\:\:\:\:\:\:\:\:\:\:\:\mu\:\left(\:\mathrm{Q}\:\right)=\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\:\:\blacksquare{m}.{n} \\ $$$$ \\ $$

Question Number 170474    Answers: 0   Comments: 0

∫ (√(1+n^2 x^(2n−2) )) dx

$$\int\:\sqrt{\mathrm{1}+{n}^{\mathrm{2}} {x}^{\mathrm{2}{n}−\mathrm{2}} }\:{dx} \\ $$

Question Number 170473    Answers: 0   Comments: 0

Question Number 170472    Answers: 0   Comments: 0

$$ \\ $$

Question Number 170468    Answers: 1   Comments: 0

Given that log_4 (y−1)+log_4 ((x/y))=m and log_2 (y+1)−log_2 x=m−1, show that y^2 =1−8^m

$$\:\mathrm{G}{iven}\:{that}\:{log}_{\mathrm{4}} \left({y}−\mathrm{1}\right)+{log}_{\mathrm{4}} \left(\frac{{x}}{{y}}\right)={m} \\ $$$$\:{and}\:{log}_{\mathrm{2}} \left({y}+\mathrm{1}\right)−{log}_{\mathrm{2}} {x}={m}−\mathrm{1}, \\ $$$$\:{show}\:{that}\:{y}^{\mathrm{2}} =\mathrm{1}−\mathrm{8}^{{m}} \\ $$

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