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Question Number 216207 Answers: 0 Comments: 2

Prove that any kind of equation should have atleast one root. (Algebric fundamental theorem)

$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{any}\:\mathrm{kind}\:\mathrm{of}\:\mathrm{equation}\:\mathrm{should} \\ $$$$\mathrm{have}\:\mathrm{atleast}\:\mathrm{one}\:\mathrm{root}.\:\left(\mathrm{Algebric}\:\right. \\ $$$$\left.\mathrm{fundamental}\:\mathrm{theorem}\right) \\ $$

Question Number 216202 Answers: 4 Comments: 0

prove : sin(a+b)=sin(a)cos(b)+sin(b)cos(a)

$${prove}\::\: \\ $$$${sin}\left({a}+{b}\right)={sin}\left({a}\right){cos}\left({b}\right)+{sin}\left({b}\right){cos}\left({a}\right) \\ $$

Question Number 216201 Answers: 1 Comments: 0

Question Number 216188 Answers: 3 Comments: 0

Question Number 216178 Answers: 2 Comments: 0

B = ((3^4 + 3^2 + 1)/(3^7 - 3)) + ((4^4 + 4^2 + 1)/(4^7 - 4)) + ... + ((10^4 + 10^2 + 1)/(10^7 - 1)) Find: B + (1/(220)) = ?

$$\mathrm{B}\:=\:\frac{\mathrm{3}^{\mathrm{4}} \:+\:\mathrm{3}^{\mathrm{2}} \:+\:\mathrm{1}}{\mathrm{3}^{\mathrm{7}} \:-\:\mathrm{3}}\:+\:\frac{\mathrm{4}^{\mathrm{4}} \:+\:\mathrm{4}^{\mathrm{2}} \:+\:\mathrm{1}}{\mathrm{4}^{\mathrm{7}} \:-\:\mathrm{4}}\:+\:...\:+\:\frac{\mathrm{10}^{\mathrm{4}} \:+\:\mathrm{10}^{\mathrm{2}} \:+\:\mathrm{1}}{\mathrm{10}^{\mathrm{7}} \:-\:\mathrm{1}} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{B}\:+\:\frac{\mathrm{1}}{\mathrm{220}}\:=\:? \\ $$

Question Number 216183 Answers: 1 Comments: 0

Question Number 216180 Answers: 4 Comments: 0

Question Number 216164 Answers: 2 Comments: 0

Question Number 216162 Answers: 1 Comments: 0

Question Number 216161 Answers: 1 Comments: 0

Question Number 216153 Answers: 1 Comments: 0

Question Number 216139 Answers: 2 Comments: 3

Question Number 216123 Answers: 0 Comments: 1

determiner la surface de [ADCMNFEB]

$$\mathrm{determiner}\:\mathrm{la}\:\mathrm{surface}\:\mathrm{de} \\ $$$$\:\left[\mathrm{ADCMNFEB}\right]\:\: \\ $$

Question Number 216110 Answers: 1 Comments: 12

Question Number 216106 Answers: 2 Comments: 1

Question Number 216105 Answers: 2 Comments: 0

Question Number 216094 Answers: 0 Comments: 0

Question Number 216093 Answers: 1 Comments: 0

Question Number 216144 Answers: 4 Comments: 0

1. Lim_(n→∞) [(1/n^2 )+(2/n^2 )+(3/n^2 )+...+((n+1)/n^2 )] 2. lim_(x→0) (((3sin5x)/x))^((1−cos4x)/x^2 )

Question Number 216078 Answers: 0 Comments: 7

see comments

$${see}\:{comments} \\ $$

Question Number 216077 Answers: 1 Comments: 0

Find the largest value of the non negative integer p for which lim_(x→1) {((− px + sin(x − 1) + p)/(x + sin(x − 1) − 1))}^((1 − x)/(1 − (√x))) = (1/4) .

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{largest}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{non}\:\mathrm{negative} \\ $$$$\mathrm{integer}\:{p}\:\mathrm{for}\:\mathrm{which}\: \\ $$$$\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\left\{\frac{−\:{px}\:+\:\mathrm{sin}\left({x}\:−\:\mathrm{1}\right)\:+\:{p}}{{x}\:+\:\mathrm{sin}\left({x}\:−\:\mathrm{1}\right)\:−\:\mathrm{1}}\right\}^{\frac{\mathrm{1}\:−\:{x}}{\mathrm{1}\:−\:\sqrt{{x}}}} \:=\:\frac{\mathrm{1}}{\mathrm{4}}\:. \\ $$

Question Number 216076 Answers: 1 Comments: 0

((⌊(x/3) ⌋)/(⌊ (x/4) ⌋)) = ((21)/(16)) ; x=?

$$\:\:\:\frac{\lfloor\frac{\mathrm{x}}{\mathrm{3}}\:\rfloor}{\lfloor\:\frac{\mathrm{x}}{\mathrm{4}}\:\rfloor}\:=\:\frac{\mathrm{21}}{\mathrm{16}}\:;\:\mathrm{x}=? \\ $$

Question Number 216074 Answers: 2 Comments: 0

find the maximum of y=∣sin x∣+∣sin 2x∣.

$$\mathrm{find}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{of}\:{y}=\mid\mathrm{sin}\:{x}\mid+\mid\mathrm{sin}\:\mathrm{2}{x}\mid. \\ $$

Question Number 216060 Answers: 2 Comments: 4

Question Number 216058 Answers: 0 Comments: 5

Question Number 216056 Answers: 0 Comments: 0

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