MATH-3210 Lecture 21: 11.1 (cont.) (cont.)

elearning.uaeu.ac.ae ent two-Calculus I for E ring (03) 1763347-4t content-rid-390105 pid-1763347-dt-cont TH1110.1 Call, df Calculus I for Engineering (MATH 1110) Assignment-2, Fall 2017 3. Find all critical numbers of the following functions. For each critical number determine whether it represents a local maximum, a local minimum or neither (saddle point). (a) f(x) = zip 1

2, Let f = u+iv be an analytic function with real part u(x, y) 3 exp x cos y +4x Compute v(x, y), f(z), and f(z). Last modified: Wednesday, 22 November 2017, 5:29 PM

1. Parameterize the surface 2. Find the area of the parametric surface xir.@) _ (v Zr cont v Zrsine,를+8) (0 $15 3,0 $15 2r) 3. Find the area of the surface obtained by rotating the astroid x(t) = cos" t, y(t) in3t (0-t-m) around the r-axis.