The intensity of light with wavelength λ traveling through a diffraction grating with n slits at an angle θ is given by i(θ)=n^2 sin^2k/k^2, where k = (πnd sin θ)/λ and d is the distance between adjacent slits. a helium-neon laser with wavelength λ = 632.8 × 10^-9m is emitting a narrow band of light, given by -10^-6 < θ < 10^-6, through a grating with 10,000 slits spaced 10^-4 m apart. use the midpoint rule with n=10 to estimate the total light intensity ^10^-6∫-10^-6 i(θ) dθ emerging from the grating.

The decibel level of sound is 50 db greater on a busy street than in a quiet room where the intensity of sound is watt/m2. the level of sound in the quiet room is db, and the intensity of sound in the busy street is watt/m2. use the formula , where is the sound level in decibels, i is the intensity of sound, and is the smallest sound intensity that can be heard by the human ear (roughly equal to watts/m2).

Which themes are portrayed in this excerpt from leo tolstoy’s the death of ivan ilyich? praskovya fedorovna came of a good family, was not bad looking, and had some little property. ivan ilyich might have aspired to a more brilliant match, but even this was good. he had his salary, and she, he hoped, would have an equal income. she was well connected, and was a sweet, pretty, and thoroughly correct young woman. to say that ivan ilyich married because he fell in love with praskovya fedorovna and found that she sympathized with his views of life would be as incorrect as to say that he married because his social circle approved of the match. he was swayed by both these considerations: the marriage gave him personal satisfaction, and at the same time it was considered the right thing by the most highly placed of his associates. so ivan ilyich got married. conforming to social conventions criticism of a middle class lifestyle the destructive impact of loneliness struggling to face reality the necessity of companionship

Just tell me how to set up the equation.