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AllQuestion and Answers: Page 1454

Question Number 66601 Answers: 1 Comments: 1

Question Number 66599 Answers: 0 Comments: 2

Question Number 66589 Answers: 2 Comments: 5

∫((sinx)/(1+sinx+sin2x))dx

$$\int\frac{{sinx}}{\mathrm{1}+{sinx}+{sin}\mathrm{2}{x}}{dx} \\ $$

Question Number 66564 Answers: 0 Comments: 0

Question Number 66561 Answers: 1 Comments: 2

evaluate ∫_0 ^2 ∣ x+ 2∣ dx.

$${evaluate}\: \\ $$$$\:\:\int_{\mathrm{0}} ^{\mathrm{2}} \mid\:{x}+\:\mathrm{2}\mid\:{dx}. \\ $$

Question Number 66562 Answers: 1 Comments: 1

given that ∣z − i∣ = ∣z − 4 +3 i∣ sketch the locus of z find the catersian equation of this locus.

$${given}\:{that}\:\:\mid{z}\:−\:\mathrm{i}\mid\:=\:\mid{z}\:−\:\mathrm{4}\:+\mathrm{3}\:\mathrm{i}\mid \\ $$$${sketch}\:{the}\:{locus}\:{of}\:\:{z} \\ $$$${find}\:{the}\:{catersian}\:{equation}\:{of}\:{this}\:{locus}. \\ $$

Question Number 66550 Answers: 0 Comments: 2

∫_0 ^1 ∫_((y/2) ) ^((1/2) ) e^(−x^2 ) dxdy=?

$$\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\frac{{y}}{\mathrm{2}}\:} ^{\frac{\mathrm{1}}{\mathrm{2}}\:} {e}^{−{x}^{\mathrm{2}} } {dxdy}=? \\ $$

Question Number 66549 Answers: 0 Comments: 0

((n^2 !)/((n!)^n ))=natural number.

$$\frac{\mathrm{n}^{\mathrm{2}} !}{\left(\mathrm{n}!\right)^{\mathrm{n}} }=\mathrm{natural}\:\mathrm{number}. \\ $$

Question Number 66548 Answers: 0 Comments: 1

Evaluate:∫(√(x(√(x+1)) ))dx

$$\boldsymbol{{Evaluate}}:\int\sqrt{{x}\sqrt{{x}+\mathrm{1}}\:}{dx} \\ $$

Question Number 66546 Answers: 0 Comments: 6

Question Number 66544 Answers: 1 Comments: 0

Find a, b, c which fulfill lim_(x→0) ((x(a + b cos x) − c sin x)/x^5 ) = 1

$${Find}\:\:{a},\:{b},\:{c}\:\:{which}\:\:{fulfill}\:\:\: \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{{x}\left({a}\:+\:{b}\:\mathrm{cos}\:{x}\right)\:−\:{c}\:\mathrm{sin}\:{x}}{{x}^{\mathrm{5}} }\:\:=\:\:\mathrm{1} \\ $$

Question Number 66543 Answers: 2 Comments: 1

3^x =3x x=?

$$\:\mathrm{3}^{\boldsymbol{{x}}} =\mathrm{3}\boldsymbol{{x}} \\ $$$$\: \\ $$$$\:\boldsymbol{{x}}=? \\ $$

Question Number 66540 Answers: 0 Comments: 0

graph the function r^2 =cos(2θ) and find the area?

$${graph}\:{the}\:{function}\:{r}^{\mathrm{2}} ={cos}\left(\mathrm{2}\theta\right)\:{and}\:{find}\:{the}\:{area}? \\ $$

Question Number 66536 Answers: 0 Comments: 0

∫ln^(10) (x) sin^7 (x) dx

$$\int{ln}^{\mathrm{10}} \left({x}\right)\:{sin}^{\mathrm{7}} \left({x}\right)\:{dx} \\ $$

Question Number 66527 Answers: 1 Comments: 1

Question Number 66522 Answers: 3 Comments: 0

Question Number 66520 Answers: 0 Comments: 1

find the length r=2/1−cosθ if θ between pi/2 to pi

$${find}\:{the}\:{length}\:{r}=\mathrm{2}/\mathrm{1}−{cos}\theta\:\:\:\:\:\:\:\:\:{if}\:\theta\:{between}\:{pi}/\mathrm{2}\:{to}\:{pi} \\ $$

Question Number 66518 Answers: 0 Comments: 2

Question Number 66517 Answers: 1 Comments: 1

find the area cos(2θ)

$${find}\:{the}\:{area}\:{cos}\left(\mathrm{2}\theta\right) \\ $$

Question Number 66513 Answers: 1 Comments: 4

when finding ∫_0 ^2 (2x +4)^5 dx must we change limits?

$${when}\:{finding}\:\:\int_{\mathrm{0}} ^{\mathrm{2}} \left(\mathrm{2}{x}\:+\mathrm{4}\right)^{\mathrm{5}} {dx}\: \\ $$$${must}\:{we}\:{change}\:{limits}? \\ $$

Question Number 66508 Answers: 0 Comments: 3

Question Number 66502 Answers: 1 Comments: 0

find the area about cos(2θ)

$${find}\:{the}\:{area}\:{about}\:{cos}\left(\mathrm{2}\theta\right) \\ $$

Question Number 66498 Answers: 1 Comments: 3

Question Number 66497 Answers: 1 Comments: 0

Question Number 66489 Answers: 3 Comments: 0

Question Number 66483 Answers: 0 Comments: 4

calculate Σ_(k=2) ^∞ (((−1)^k )/k) ζ(k) if ζ(s)=Σ_(n=1) ^∞ (1/n^s )

$$\:{calculate}\:\:\:\:\underset{{k}=\mathrm{2}} {\overset{\infty} {\sum}}\:\:\frac{\left(−\mathrm{1}\right)^{{k}} }{{k}}\:\zeta\left({k}\right)\:\:\:\:\:\:\:{if}\:\:\:\:\zeta\left({s}\right)=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\:\frac{\mathrm{1}}{{n}^{{s}} }\: \\ $$

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