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AllQuestion and Answers: Page 268

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.

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

Question Number 193543 Answers: 0 Comments: 4

solve

$${solve} \\ $$

Question Number 193542 Answers: 1 Comments: 2

f(x) = x^3 +3x^2 −1 1) calcul h(X) = f(a+X) −b 2) determine a and b such that h is odd

$$\mathrm{f}\left(\mathrm{x}\right)\:=\:\mathrm{x}^{\mathrm{3}} +\mathrm{3x}^{\mathrm{2}} −\mathrm{1} \\ $$$$\left.\mathrm{1}\right)\:\mathrm{calcul}\:\:\:\:\mathrm{h}\left(\mathrm{X}\right)\:=\:\mathrm{f}\left(\mathrm{a}+\mathrm{X}\right)\:−\mathrm{b} \\ $$2) determine a and b such that h is odd

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