MATH 2210 Midterm: Math221examFa2010
Document Summary
Math 221- calculus iii [vitter] final exam dec. 7, 2010. Print your name at top of rst page. Work each problem in the space below its statement. Justify all your answers and show all your work. 1. let p be the plane in r3 with equation x + 4y 2z = 6. Find the parametric equations of the line perpendicular to p and containing the point (2, 2, 1). 2. a building has a horizontal roof which is 64 feet above the ground. 3. let f (x, y) = x2y + y3 x2. Let p = (2, 1) and u = ( a)find the rate of change of f at the point p in the direction u. 4. find the equation of the tangent plane to the surface with equation xy + z2 = 3 at the point (2, 1, 1). 5. find the local and global max and min points and the saddle points of f (x, y) = 3x x2 3xy2 on r2.
