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AllQuestion and Answers: Page 60

Question Number 218735    Answers: 5   Comments: 0

Question Number 218734    Answers: 7   Comments: 0

Question Number 218733    Answers: 4   Comments: 1

Question Number 218719    Answers: 0   Comments: 0

Question Number 218713    Answers: 1   Comments: 3

Question Number 218709    Answers: 2   Comments: 0

∫_0 ^(π/2) (dθ/( (√(sinθ +cosθ))))

$$ \\ $$$$\:\:\:\:\:\:\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \:\frac{{d}\theta}{\:\sqrt{{sin}\theta\:+{cos}\theta}} \\ $$$$ \\ $$

Question Number 218703    Answers: 3   Comments: 0

Prove; lim_(x→0) ((x − sin x)/x^3 ) = (1/6)

$$ \\ $$$$\:\:\:\:{Prove};\:{lim}_{{x}\rightarrow\mathrm{0}} \:\frac{{x}\:−\:{sin}\:{x}}{{x}^{\mathrm{3}} }\:=\:\frac{\mathrm{1}}{\mathrm{6}}\:\: \\ $$$$ \\ $$

Question Number 218676    Answers: 2   Comments: 0

Question Number 218675    Answers: 4   Comments: 0

Question Number 218674    Answers: 3   Comments: 0

Question Number 218673    Answers: 3   Comments: 1

Question Number 218672    Answers: 2   Comments: 0

Question Number 218662    Answers: 4   Comments: 0

Prove: ∫^∞ _0 ((sin(x))/x) dx = (π/2)

$$\: \\ $$$$\:\:\:\:{Prove}:\:\:\:\:\underset{\mathrm{0}} {\int}^{\infty} \:\frac{{sin}\left({x}\right)}{{x}}\:{dx}\:=\:\frac{\pi}{\mathrm{2}} \\ $$$$ \\ $$

Question Number 218658    Answers: 2   Comments: 0

Question Number 218769    Answers: 1   Comments: 0

Fourier Series f(θ)=e^(izsin(θ))

$$\mathrm{Fourier}\:\mathrm{Series}\:{f}\left(\theta\right)={e}^{\boldsymbol{{i}}{z}\mathrm{sin}\left(\theta\right)} \\ $$

Question Number 218656    Answers: 2   Comments: 0

resolve the equation with unknow p P is polynom 1) P(X^2 )=(X^2 +1)P(X) 2) P 0P =P

$${resolve}\:{the}\:{equation}\:{with}\:{unknow}\:{p} \\ $$$${P}\:\:{is}\:{polynom}\: \\ $$$$\left.\mathrm{1}\right)\:{P}\left({X}^{\mathrm{2}} \right)=\left({X}^{\mathrm{2}} +\mathrm{1}\right){P}\left({X}\right) \\ $$$$\left.\mathrm{2}\right)\:{P}\:\mathrm{0}{P}\:={P} \\ $$

Question Number 218652    Answers: 0   Comments: 4

Angle of incidence is 40° if the direction of the incidence ray is constant and the mirror is rotated through 20° the angle between the new reflected ray and new normal is

Angle of incidence is 40° if the direction of the incidence ray is constant and the mirror is rotated through 20° the angle between the new reflected ray and new normal is

Question Number 218651    Answers: 1   Comments: 0

Question Number 218650    Answers: 1   Comments: 0

Question Number 218649    Answers: 2   Comments: 0

Question Number 218648    Answers: 1   Comments: 0

Question Number 218646    Answers: 1   Comments: 1

Question Number 218645    Answers: 4   Comments: 0

Question Number 218644    Answers: 2   Comments: 0

Question Number 218636    Answers: 1   Comments: 0

Question Number 218629    Answers: 1   Comments: 0

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