MATH 2153 Midterm: Math 2153midterm-2

• School: Ohio State University
• Department: Mathematics
• Course: MATH 2153
• Professor: All

Document Summary

Practice midterm 2 math 2153 (section 10: give explicit examples of the following properties. Make sure to include enough level curves to illustrate these properties: (5 points) a basin of circulating water is represented by the region r = {(x, y) : 0 x, y 1}. The velocity components of the water at position (x, y) in r are (the east-west velocity the north-south velocity u(x, y) = x(1 + x)( 1 + 2y), v(x, y) = y(y 1)( 1 + 2x). These velocity components produce some ow patterns in the basin. Find the rates of change of the water speed in the x- and y-directions. 3. (a) (2 points) compute du(3x3y y) where u =d .