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AllQuestion and Answers: Page 177

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

Question Number 193617    Answers: 1   Comments: 0

Question Number 193618    Answers: 1   Comments: 0

x^(log_2 x) =256

$${x}^{{log}_{\mathrm{2}} {x}} =\mathrm{256} \\ $$

Question Number 193565    Answers: 1   Comments: 0

Question Number 193563    Answers: 3   Comments: 0

Question Number 193554    Answers: 2   Comments: 0

Question Number 193548    Answers: 1   Comments: 1

Question Number 193546    Answers: 2   Comments: 0

if a+b+c=1 find maximum ab +bc +ca a , b , c are non negative integers

$${if}\:{a}+{b}+{c}=\mathrm{1} \\ $$$${find}\:{maximum}\:{ab}\:+{bc}\:+{ca}\: \\ $$$${a}\:,\:{b}\:,\:{c}\:{are}\:{non}\:{negative}\:{integers} \\ $$$$ \\ $$

Question Number 193585    Answers: 1   Comments: 0

There exists a unique positive integer a for which The sum u = Σ_(n=1) ^(2023) ⌊((n^2 −na)/5)⌋ is an integer trictly between −1000 & 1000 find a+u.

$$ \\ $$$${There}\:{exists}\:{a}\:{unique}\:{positive}\:{integer}\:{a}\:{for} \\ $$$${which}\:{The}\:{sum}\:{u}\:\:=\:\underset{{n}=\mathrm{1}} {\overset{\mathrm{2023}} {\sum}}\lfloor\frac{{n}^{\mathrm{2}} −{na}}{\mathrm{5}}\rfloor\:{is}\:{an}\:{integer} \\ $$$${trictly}\:{between}\:−\mathrm{1000}\:\&\:\mathrm{1000}\:{find}\:{a}+{u}. \\ $$

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