Calculate the divergence and curl of the vector V = (- 4.9)(rz cos2(θ)) er + (- 6.8)(sin2(θ) + rz) eθ + ( 5.8)(rz + sin(θ)) ez at the point P ≡ ( 6.1, 0.4, - 4.3). (Round your answer to 2 decimal places.)
Calculate the divergence and curl of the vector V = (- 4.9)(rz cos2(θ)) er + (-...
Consider the following surface parametrization. x-5 cos(8) sin(φ), y-3 sin(θ) sin(p), z-cos(p) Find an expression for a unit vector, n, normal to the surface at the image of a point (u, v) for θ in [0, 2T] and φ in [0, π] -3 cos(θ) sin(φ), 5 sin(θ) sin(φ),-15 cos(q) 16 sin2(0) sin2(p)216 cos2(p)9 3 cos(9) sin(9),-5 sin(θ) sin(9), 15 cos(q) 16 sin2(0) sin2(p)216 cos2(p)9 v 16 sin2(0) sin2@c 216 cos2@t9(3 cos(θ) sin(φ), 5 sin(θ) sin(φ) , 15 cos(q) 216 cos(φ)...
cos2 θ The transformationPez, cos θ sin θ 2 gives the orthogonal projection of the vector,2 onto ortho cosesin θ sin2 θ | the line through the origin that makes the angle θ with the x-axis. Find the projection of'l,6] onto the line through the origintht makes an angle Give your answer to 2 decimal places. The vector- 334,103 Preview Points possible: 1 Unlimited attempts. Score on last attempt: 0. Score in gradebook: 0 Message instructor about this question Post...