let the surface s be part of the elliptic paraboloid z = y2 + 2x2 oriented upward within the cylindery21 and let n denote the unit normal vector in the direction of the orientation. let c be the boundary curve of s. consider the vector field f = yi + rj +zyak. (a) evaluate fc fdr directly (without using stokes' theorem). (b) evaluate·il(v × f).nds directly (without using stoke's theorern).

Ascientist is tracking an object orbiting the sun that is found between mars and jupiter. in order to classify the object as an asteroid, it must be at least

Glass is transparent to visibile light under normal conditions; however, at extremely high intensities, glass will absorb most of the light incident upon it. this works through a process known as multiphoton absorption. in this process, several photons are absorbed at the same time. if very intense light whose photons carry 2ev of energy is shined onto a material with a band gap of 4ev, that light can be absorbed through two-photon absorption, because two photons have the right amount of energy to bridge the band gap. what is the minimum number of photons of 800-nm light that are needed to equal or exceed the band gap of fused silica glass

Which terms describe the purpose of antennas on devices that use radio waves? transmit and receivemodify and amplifyamplify and receivemodify and transmit