Compute the curl of the following vector V defined by V(x,y,z) = e(x²+y² +z²) y

W= Let u = 4 8- and = 4 H 3 Find a vector w not in span {u, v}.

Consider the following function. T: R2 → R?, T(x, y) = (x, 5) Find the following images for vectors u = (u,, uz) and v = (v,, v,) in R2 and the scalar c. (Give all answers in terms of u,, u,, V, V2, and c.) T(u) = T(v) = T(u) + T(v) = T(u + v) = cT(u) = T(cu) = Determine whether the function is a linear transformation. O linear transformation O not a linear transformation

Suppose f(x, y) = (a) ▼ f(x, y) = (b) Vƒ(4,5) = (c) f₂ (4, 5) = D₂ ƒ(4, 5) = 4 and u is the unit vector in the direction of (2, -1). Then, x² + y²