MATH 241 Study Guide - Midterm Guide: Unit Vector

• School: University of Maryland
• Department: Mathematics
• Course: MATH 241
• Professor: ALL

Document Summary

Math 241h - exam 1 - march 7,2003. Find an equation of the plane that contains the points ( 1, 1, 2), (1, 3, 1), and (1, 2, 0). (10) 2. Find an equation of the plane tangent to the surface 2x2 y + z3 = 4 at the point (2, 3, 1). (20) 3. Let f (x, y) = (cid:26) xy x. 2 if (x, y) 6= (0, 0) if (x, y) = (0, 0). (a) find fx(0, 0) or explain why it doesn"t exist. (b) find fy(0, 0) or explain why it doesn"t exist. (c) let u = 1. A cylindrical tree trunk of radius r and height h has volume v = r2h. Suppose the radius increases 1/2 inch per year and the height increases 10 inches per year. How fast is the volume increasing when r = 4 inches and h = 100 inches. (24) 6.