Suppose F = (2y, -2x). Complete the following table of values of F. Values of F y = 1 y=0 y = -1 x = -1 GD. x = 0 x = 1 Using your table of values as a starting point, sketch this vector field on a piece of paper for -2 ≤ x ≤ 2 and -2 ≤ y ≤ 2.

For the vector valued function below, 1. Find the domain of each component. 2. Find the domain for the entire vector-valued function (as a single function). r(t) = √√16-²³₁+ i + (-4) k i+

Find the anwer to the given question: Determine if the following set of functions are whether linearly independent of linearly dependent.

Let ƒz = Əƒ/Əz and fz = əƒ/əz. Recall f = u + iv, the notation ƒ is used for the complex conjugate function u iv. Verify the chain rule (fog)z (fog)z = = (fz ○g)9z+(fz° g)āz (fzᵒg) gz+ (fz° g) Iz