MATH 2210 Midterm: Math2210Fall2014
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. consider the three points a = (1, 0, 0) b = (2, 4, 0) c = (1, 4, 3). (1) find the equation of the plane containing these three points. (2) find the area of the triangle abc. 2. find the length of the curve r(t) = 2t. 2 i + cos(2t)j + sin(2t)k with 0 t 1. Describe in words the direction of the acceleration vectors. 4. find the equation of the tangent plane to the surface x2 3y2 + 2z2 = 3 at the point (2, 1, 1). 6. find the dimensions of the largest rectangular box in the rst octant with three faces in the coordinate planes and one vertex in the plane x + 2y + 3z = 6.
