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Question Number 49460 Answers: 0 Comments: 2

If x=1+i is a root of the equation x^3 −ix+1−i=0 , then the other real root is

$$\mathrm{If}\:\:{x}=\mathrm{1}+{i}\:\:\mathrm{is}\:\mathrm{a}\:\mathrm{root}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation} \\ $$$${x}^{\mathrm{3}} −{ix}+\mathrm{1}−{i}=\mathrm{0}\:,\:\mathrm{then}\:\mathrm{the}\:\mathrm{other}\:\mathrm{real} \\ $$$$\mathrm{root}\:\mathrm{is} \\ $$

Question Number 49459 Answers: 2 Comments: 0

If tan θ=((cos 9°+sin 9°)/(cos 9°−sin 9°)) then θ = ___

$$\mathrm{If}\:\mathrm{tan}\:\theta=\frac{\mathrm{cos}\:\mathrm{9}°+\mathrm{sin}\:\mathrm{9}°}{\mathrm{cos}\:\mathrm{9}°−\mathrm{sin}\:\mathrm{9}°}\:\mathrm{then}\:\theta\:=\:\_\_\_ \\ $$

Question Number 49457 Answers: 0 Comments: 0

evaluate ∫x^(3 ) J_3 (x)dx

$${evaluate}\:\int{x}^{\mathrm{3}\:} {J}_{\mathrm{3}} \left({x}\right){dx} \\ $$

Question Number 49433 Answers: 3 Comments: 6

Question Number 49430 Answers: 0 Comments: 1

Question Number 49427 Answers: 0 Comments: 1

Find the nth term of the sequence: 5, 5, 35, 65, 275, ...

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{nth}\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sequence}:\:\:\:\mathrm{5},\:\:\mathrm{5},\:\:\mathrm{35},\:\:\mathrm{65},\:\:\mathrm{275},\:... \\ $$

Question Number 49408 Answers: 1 Comments: 3

Find the number of all such 7−digit no. which satisfy conditions: 1) divisible by 3 2) repetition allowed 3) zero is not used.

$${Find}\:{the}\:{number}\:{of}\:{all}\:{such}\:\mathrm{7}−{digit} \\ $$$${no}.\:{which}\:{satisfy}\:{conditions}: \\ $$$$\left.\mathrm{1}\right)\:{divisible}\:{by}\:\mathrm{3} \\ $$$$\left.\mathrm{2}\right)\:{repetition}\:{allowed} \\ $$$$\left.\mathrm{3}\right)\:{zero}\:{is}\:{not}\:{used}. \\ $$

Question Number 49396 Answers: 0 Comments: 0

Here is floods of questions...number of batsman limited but bowlers are all... so pls limit your questions...if everybody posts questions who will answer... so pls limit questions...

$${Here}\:{is}\:{floods}\:{of}\:{questions}...{number}\:{of}\:{batsman} \\ $$$${limited}\:{but}\:{bowlers}\:{are}\:{all}...\:{so}\:{pls}\:{limit}\:{your} \\ $$$${questions}...{if}\:{everybody}\:{posts}\:{questions}\:{who} \\ $$$${will}\:{answer}... \\ $$$${so}\:{pls}\:{limit}\:{questions}... \\ $$

Question Number 49394 Answers: 1 Comments: 1

Question Number 49392 Answers: 1 Comments: 0

Question Number 49389 Answers: 2 Comments: 0

for x≠0,y≠0,xy≠−1,f(1)=(1/2) f(x)+f(y)=f(x+y)+((x+y)/(1+xy)) 1.find: f(x),[if possible] 2.find :f^(−1) (1),[if possible].

$${for}\:{x}\neq\mathrm{0},{y}\neq\mathrm{0},\mathrm{xy}\neq−\mathrm{1},{f}\left(\mathrm{1}\right)=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}\right)+\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{y}}\right)=\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{y}}\right)+\frac{\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{y}}}{\mathrm{1}+\boldsymbol{\mathrm{xy}}} \\ $$$$\mathrm{1}.{find}:\:{f}\left({x}\right),\left[{if}\:{possible}\right] \\ $$$$\mathrm{2}.{find}\::{f}^{−\mathrm{1}} \left(\mathrm{1}\right),\left[{if}\:{possible}\right]. \\ $$

Question Number 49384 Answers: 1 Comments: 1

Question Number 49367 Answers: 5 Comments: 5

a) ∫ (dx/(√(1−tgx))) b)∫ (dx/((1−tgx))^(1/3) ) c)∫ (dx/(√(1−(√(1−x)))))

$$\left.\:\:\:\:{a}\right)\:\:\int\:\:\frac{\boldsymbol{\mathrm{dx}}}{\sqrt{\mathrm{1}−\boldsymbol{\mathrm{tgx}}}} \\ $$$$\left.\:\:\:\:{b}\right)\int\:\:\frac{\boldsymbol{\mathrm{dx}}}{\sqrt[{\mathrm{3}}]{\mathrm{1}−\boldsymbol{\mathrm{tgx}}}} \\ $$$$\left.\:\:\:\:{c}\right)\int\:\:\frac{\boldsymbol{\mathrm{dx}}}{\sqrt{\mathrm{1}−\sqrt{\mathrm{1}−\boldsymbol{\mathrm{x}}}}} \\ $$

Question Number 49365 Answers: 2 Comments: 1

Question Number 49362 Answers: 1 Comments: 7

Question Number 49360 Answers: 0 Comments: 4

Question Number 49359 Answers: 1 Comments: 0

Question Number 49358 Answers: 1 Comments: 0

Question Number 49357 Answers: 2 Comments: 1

Question Number 49356 Answers: 1 Comments: 1

Question Number 49355 Answers: 1 Comments: 0

Question Number 49354 Answers: 3 Comments: 0

Question Number 49344 Answers: 1 Comments: 1

let α>0 calculate ∫_(−∞) ^(+∞) (1+αi)^(−x^2 ) dx .

$${let}\:\alpha>\mathrm{0}\:{calculate}\:\int_{−\infty} ^{+\infty} \:\left(\mathrm{1}+\alpha{i}\right)^{−{x}^{\mathrm{2}} } {dx}\:. \\ $$

Question Number 49343 Answers: 0 Comments: 1

find ∫_0 ^1 ((ln(x))/(1+x))dx .

$${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{ln}\left({x}\right)}{\mathrm{1}+{x}}{dx}\:. \\ $$

Question Number 49342 Answers: 0 Comments: 0

find ∫_0 ^1 (e^x /(1+x))dx .

$${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{e}^{{x}} }{\mathrm{1}+{x}}{dx}\:. \\ $$

Question Number 49340 Answers: 0 Comments: 0

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