ADMS 2200 Chapter : Ch 2 - List of Important Terms

8. Compute the curl and divergence of the vector field V(x, y, z) = (zy + z, xz, xy) W(x, y, z) = (ze", ye", zer") ▽x1V and ▽ . IV. 9. Let Compute

5. (8 pts) Given function (x, y)Evaluate a/(x, y)drdy where the region R (in zy-plane) is bounded by the follwing four line -1 + x, y 1-z, y 4-x,y = 4 +x. Sketch the region y R (in zy-plane) and corrsponding region T (in st-plane). Hint: Introduce the new variables s,t as s=x+y,t = x-y.

Find the indicated derivatives(s (5) 2 1. All first partial derivatives of f (x) = ze 3. f, (x, y) if f (z, y) ln(e2c+e-Zy) =