MATH 265 Midterm: MATH 265 Iowa State 265F13T2

• School: Iowa State University
• Department: Mathematics
• Course: MATH 265
• Professor: All

Document Summary

Answers without procedure will be penalized with loss of points. S at the point (s, t) = (1, 1) if we know z = xey. X sin(xy) and x(s, t) = 3s + 3t, y(s, t) = t s. A closed right circular cylindrical can is to be built with material for the wall of 0. 3 in thick while the material for the top and bottom is 0. 25 in thick. If the dimensions inside the can are a depth of 20 cm and a diameter of 10 cm, approximate the amount of material needed for its construction. Find the equation of the tangent plane to the surface de ned by x2 + y2. 6y z2 + xy + 7 = 0 at the point (1, 1, 2) Find the critical points of f (x, y) = Y + 52 = 0 and classify them (max, min or saddle.