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AllQuestion and Answers: Page 273

Question Number 193687    Answers: 0   Comments: 2

Question Number 193686    Answers: 1   Comments: 0

Question Number 193685    Answers: 2   Comments: 0

(f(x))^2 −4xf(x)+3=0 f^(−1) (3)=?

$$\:\:\:\:\:\:\:\left(\mathrm{f}\left(\mathrm{x}\right)\right)^{\mathrm{2}} −\mathrm{4xf}\left(\mathrm{x}\right)+\mathrm{3}=\mathrm{0} \\ $$$$\:\:\:\:\mathrm{f}^{−\mathrm{1}} \left(\mathrm{3}\right)=?\: \\ $$

Question Number 193711    Answers: 1   Comments: 0

Ques. 1 Let G be a group and b a fixed element of G. Prove that the map G into G given by x→bx is bijective Ques. 2 Let G be a group and g be an element of G. Prove that a) (g^(−1) )^(−1) =g b) g^m g^n = g^(m+n) Help!

$$\mathrm{Ques}.\:\mathrm{1} \\ $$$$\:\:\:\:\:\mathrm{Let}\:\mathrm{G}\:\mathrm{be}\:\mathrm{a}\:\mathrm{group}\:\mathrm{and}\:\mathrm{b}\:\mathrm{a}\:\mathrm{fixed}\:\mathrm{element} \\ $$$$\mathrm{of}\:\mathrm{G}.\:\mathrm{Prove}\:\mathrm{that}\:\mathrm{the}\:\mathrm{map}\:\mathrm{G}\:\mathrm{into}\:\mathrm{G}\:\mathrm{given} \\ $$$$\mathrm{by}\:\mathrm{x}\rightarrow\mathrm{bx}\:\mathrm{is}\:\mathrm{bijective} \\ $$$$ \\ $$$$\mathrm{Ques}.\:\mathrm{2}\: \\ $$$$\:\:\:\:\:\mathrm{Let}\:\mathrm{G}\:\mathrm{be}\:\mathrm{a}\:\mathrm{group}\:\mathrm{and}\:\mathrm{g}\:\mathrm{be}\:\mathrm{an}\:\mathrm{element}\: \\ $$$$\mathrm{of}\:\mathrm{G}.\:\mathrm{Prove}\:\mathrm{that}\: \\ $$$$\left.\mathrm{a}\right)\:\left(\mathrm{g}^{−\mathrm{1}} \right)^{−\mathrm{1}} =\mathrm{g} \\ $$$$\left.\mathrm{b}\right)\:\mathrm{g}^{\mathrm{m}} \mathrm{g}^{\mathrm{n}} \:=\:\mathrm{g}^{\mathrm{m}+\mathrm{n}} \: \\ $$$$ \\ $$$$\mathrm{Help}! \\ $$

Question Number 193677    Answers: 1   Comments: 0

lim_(x→1) ((2arctan^2 x−(π/8))/(x^2 −1))=...

$${li}\underset{{x}\rightarrow\mathrm{1}} {{m}}\:\frac{\mathrm{2}{arctan}^{\mathrm{2}} {x}−\frac{\pi}{\mathrm{8}}}{{x}^{\mathrm{2}} −\mathrm{1}}=... \\ $$

Question Number 193676    Answers: 1   Comments: 0

Solve arcsin(2x)+arcsin(x(√3))=arcsin(x)

$${Solve} \\ $$$${arcsin}\left(\mathrm{2}{x}\right)+{arcsin}\left({x}\sqrt{\mathrm{3}}\right)={arcsin}\left({x}\right) \\ $$

Question Number 193671    Answers: 1   Comments: 0

Question Number 193670    Answers: 1   Comments: 1

show that ∫_c e^(1/z^2 ) dz = 0 when ∣z∣ <1

$${show}\:{that}\:\int_{{c}} \:{e}^{\frac{\mathrm{1}}{{z}^{\mathrm{2}} }} \:{dz}\:=\:\mathrm{0}\:{when}\:\mid{z}\mid\:<\mathrm{1} \\ $$

Question Number 193669    Answers: 1   Comments: 0

Question Number 193668    Answers: 1   Comments: 0

((sin(3x))/(1−x))−((cos(3x))/(cos(x))) = −2 ????

$$\frac{\mathrm{sin}\left(\mathrm{3x}\right)}{\mathrm{1}−\mathrm{x}}−\frac{\mathrm{cos}\left(\mathrm{3x}\right)}{\mathrm{cos}\left(\mathrm{x}\right)}\:=\:−\mathrm{2}\:\:????\:\: \\ $$

Question Number 193664    Answers: 0   Comments: 2

Question Number 193760    Answers: 1   Comments: 0

prove that (1/2)×(3/4)×(5/6)×(7/8)×(9/(10))...×((99)/(100))>(1/(13))

$${prove}\:{that} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}×\frac{\mathrm{3}}{\mathrm{4}}×\frac{\mathrm{5}}{\mathrm{6}}×\frac{\mathrm{7}}{\mathrm{8}}×\frac{\mathrm{9}}{\mathrm{10}}...×\frac{\mathrm{99}}{\mathrm{100}}>\frac{\mathrm{1}}{\mathrm{13}}\:\:\: \\ $$

Question Number 193656    Answers: 0   Comments: 1

please can someone solves this

$${please}\:{can}\:{someone}\:{solves}\:{this}\: \\ $$

Question Number 193651    Answers: 0   Comments: 1

determiner rayon R

$$\mathrm{determiner}\:\mathrm{rayon}\:\boldsymbol{\mathrm{R}} \\ $$

Question Number 193646    Answers: 3   Comments: 0

Question Number 193635    Answers: 2   Comments: 1

Question Number 193647    Answers: 2   Comments: 0

Question Number 193629    Answers: 0   Comments: 1

∫cos 5xdx

$$\int\mathrm{cos}\:\mathrm{5xdx} \\ $$$$ \\ $$

Question Number 193626    Answers: 3   Comments: 0

Question Number 193612    Answers: 1   Comments: 0

Question Number 193611    Answers: 1   Comments: 0

2(√4) ÷ 2(√4) =?

$$\mathrm{2}\sqrt{\mathrm{4}}\:\boldsymbol{\div}\:\mathrm{2}\sqrt{\mathrm{4}}\:=? \\ $$

Question Number 193609    Answers: 1   Comments: 0

Question Number 193596    Answers: 2   Comments: 0

Question Number 193595    Answers: 2   Comments: 0

Question Number 193622    Answers: 1   Comments: 1

determiner l angle x

$$\mathrm{determiner}\:\mathrm{l}\:\mathrm{angle}\:\boldsymbol{\mathrm{x}} \\ $$

Question Number 193581    Answers: 1   Comments: 0

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