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AllQuestion and Answers: Page 347

Question Number 186053 Answers: 2 Comments: 0

Question Number 186052 Answers: 1 Comments: 0

Question Number 186046 Answers: 2 Comments: 1

Question Number 186051 Answers: 1 Comments: 0

∫_(−1) ^0 ∣5^x −5^(−x) ∣dx

$$\underset{−\mathrm{1}} {\overset{\mathrm{0}} {\int}}\mid\mathrm{5}^{{x}} −\mathrm{5}^{−{x}} \mid{dx} \\ $$

Question Number 186030 Answers: 2 Comments: 0

Question Number 186029 Answers: 0 Comments: 0

Question Number 186028 Answers: 0 Comments: 2

A wolf weighs 40 kg, how many kilo calories does it need to maintain its body temperature?

$$ \\ $$A wolf weighs 40 kg, how many kilo calories does it need to maintain its body temperature?

Question Number 186027 Answers: 1 Comments: 0

Question Number 186026 Answers: 1 Comments: 0

Question Number 186025 Answers: 0 Comments: 1

P(x) = −3x^2 +5x^3 +5x^2 −5x−2 division euclidienne par x^2 −1

$$\boldsymbol{\mathrm{P}}\left(\boldsymbol{{x}}\right)\:=\:−\mathrm{3}\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{5}\boldsymbol{\mathrm{x}}^{\mathrm{3}} +\mathrm{5}\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{5}\boldsymbol{\mathrm{x}}−\mathrm{2} \\ $$$${division}\:{euclidienne}\:{par}\:\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{1} \\ $$$$ \\ $$

Question Number 186022 Answers: 0 Comments: 5

prove that(using Epsilon−Delta definition) (a) lim_(x→3) ( 2x^2 +1)=19 (b) lim_(x→2) x^3 =8

$${prove}\:\:{that}\left({using}\:{Epsilon}−{Delta}\:{definition}\right) \\ $$$$\left({a}\right)\:\underset{{x}\rightarrow\mathrm{3}} {\mathrm{lim}}\left(\:\mathrm{2}{x}^{\mathrm{2}} +\mathrm{1}\right)=\mathrm{19} \\ $$$$\left({b}\right)\:\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\:{x}^{\mathrm{3}} =\mathrm{8} \\ $$

Question Number 186021 Answers: 1 Comments: 0

prove that(using Epsilon−Delta definition) (a) lim_(x→1) (6x−2)=4 (b)lim_(x→6) (√(3x−2))=4

$${prove}\:{that}\left({using}\:{Epsilon}−{Delta}\:{definition}\right) \\ $$$$\left({a}\right)\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\left(\mathrm{6}{x}−\mathrm{2}\right)=\mathrm{4} \\ $$$$\left({b}\right)\underset{{x}\rightarrow\mathrm{6}} {\mathrm{lim}}\sqrt{\mathrm{3}{x}−\mathrm{2}}=\mathrm{4} \\ $$

Question Number 186048 Answers: 0 Comments: 2

∫_a ^b (dx/( (√(b−x))+(√(x−a))))

$$\int_{{a}} ^{{b}} \frac{{dx}}{\:\sqrt{{b}−{x}}+\sqrt{{x}−{a}}} \\ $$

Question Number 186009 Answers: 0 Comments: 0

Question Number 186002 Answers: 1 Comments: 1

Question Number 185996 Answers: 2 Comments: 0

Question Number 185985 Answers: 2 Comments: 0

∫ (dx/( (√(sin x(1+cos x))))) =?

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

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

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

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