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Question Number 185982 Answers: 1 Comments: 0

Question Number 185981 Answers: 1 Comments: 0

solve in R ⌊ 2x ⌋ + ⌊ 3x ⌋ = 1 ⌊ x ⌋ := greatest integer number more than or equal to ” x ”

$$ \\ $$$$\:\:\:\:\:\:\:{solve}\:\:{in}\:\:\:\mathbb{R} \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\lfloor\:\:\mathrm{2}{x}\:\rfloor\:\:+\:\lfloor\:\:\mathrm{3}{x}\:\rfloor\:=\:\mathrm{1} \\ $$$$\: \\ $$$$\:\:\:\:\lfloor\:{x}\:\rfloor\::=\:{greatest}\:{integer}\:{number} \\ $$$$\:\:\:\:{more}\:{than}\:\:{or}\:{equal}\:\:{to}\:\:''\:{x}\:'' \\ $$

Question Number 185983 Answers: 1 Comments: 0

{ (( f : [ 0 , 1 ] → R)),(( f (x ) = (( 4^( x) )/(2 + 4^( x) )))) :} is given . find the value of the following expression. E = f ((1/(20)) )+ f((( 2)/(20)) )+... +f (((19)/(20))) −f ((1/2) )=?

$$ \\ $$$$\:\:\:\:\:\begin{cases}{\:\:\:{f}\::\:\:\left[\:\:\mathrm{0}\:\:,\:\:\mathrm{1}\:\right]\:\rightarrow\:\mathbb{R}}\\{\:\:\:\:{f}\:\left({x}\:\right)\:=\:\frac{\:\mathrm{4}^{\:{x}} }{\mathrm{2}\:+\:\mathrm{4}^{\:{x}} }}\end{cases} \\ $$$$\:\:\:\:\:\:{is}\:\:{given}\:.\:\:{find}\:{the}\:{value}\:{of} \\ $$$$\:\:\:\:\:\:{the}\:{following}\:{expression}. \\ $$$$\:\:\:\:\:\:\mathrm{E}\:=\:{f}\:\left(\frac{\mathrm{1}}{\mathrm{20}}\:\right)+\:{f}\left(\frac{\:\mathrm{2}}{\mathrm{20}}\:\right)+...\:+{f}\:\left(\frac{\mathrm{19}}{\mathrm{20}}\right)\:−{f}\:\left(\frac{\mathrm{1}}{\mathrm{2}}\:\right)=? \\ $$

Question Number 185978 Answers: 2 Comments: 0

Question Number 185993 Answers: 1 Comments: 0

Question Number 185973 Answers: 1 Comments: 2

[prove that;] 1 + 2 = 3

$$\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\left[\boldsymbol{{prove}}\:\boldsymbol{{that}};\right] \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}\:+\:\mathrm{2}\:=\:\mathrm{3} \\ $$$$ \\ $$

Question Number 185972 Answers: 1 Comments: 0

Question Number 185961 Answers: 1 Comments: 0

solve: ∫(√([x^2 −1] dx))

$${solve}: \\ $$$$\int\sqrt{\left[{x}^{\mathrm{2}} −\mathrm{1}\right]\:{dx}} \\ $$

Question Number 185960 Answers: 1 Comments: 0

solve: (sinx)^x =3x find x

$${solve}: \\ $$$$\left({sinx}\overset{{x}} {\right)}=\mathrm{3}{x} \\ $$$${find}\:{x} \\ $$

Question Number 185959 Answers: 1 Comments: 0

solve: ∫x^(Inx) dx

$${solve}: \\ $$$$\int{x}^{{Inx}} {dx} \\ $$

Question Number 185953 Answers: 1 Comments: 3

Question Number 185951 Answers: 1 Comments: 0

∫x^3 ln(x+4)dx

$$\int{x}^{\mathrm{3}} {ln}\left({x}+\mathrm{4}\right){dx} \\ $$

Question Number 185947 Answers: 1 Comments: 0

Question Number 185944 Answers: 0 Comments: 2

Question Number 185943 Answers: 0 Comments: 0

Question Number 185939 Answers: 0 Comments: 0

Question Number 185938 Answers: 2 Comments: 0

Question Number 185935 Answers: 2 Comments: 0

∫ ((1−cos x)/((1+cos x) cos x)) dx =?

$$\:\:\:\int\:\frac{\mathrm{1}−\mathrm{cos}\:{x}}{\left(\mathrm{1}+\mathrm{cos}\:{x}\right)\:\mathrm{cos}\:{x}}\:{dx}\:=? \\ $$

Question Number 185933 Answers: 1 Comments: 0

Question Number 185932 Answers: 1 Comments: 1

Question Number 185924 Answers: 2 Comments: 0

Question Number 185915 Answers: 3 Comments: 1

Question Number 185907 Answers: 1 Comments: 0

Question Number 185901 Answers: 0 Comments: 0

Question Number 185900 Answers: 2 Comments: 0

Question Number 185893 Answers: 4 Comments: 3

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