MATH 2210 Midterm: Math2210-Fall 2013
Document Summary
Print your name at top of rst page. Calculators, and cell phones are not allowed at this test. Work each problem in the space below its statement. Justify all your answers and show all your work neatly. 1. find the equation of the plane that passes through the points (1, 0, 1), (2, 3, 0) and ( 1, 1, 4). 2. find the length of the curve y = 4. 2 between x = 0 and x = 2. 3. consider the curve in r3: (t) = (3t, t2 + 2, e4t). Find the parametric equations of the line tangent to the curve at the point (0, 2, 1). 4. find an equation of the tangent plane to the surface with equation z = xexy at the point (2, 0, 2). 5. find the directional derivative of the function f (x, y, z) = sin(2x + 3y + 4z) at the point ( , , ) in the direction of v = (1, 2, 2).
