MATH 231 Midterm: Math 231 231-midfa05
Document Summary
Instructions: to receive full credit, you must solve each problem on this exam fully and correctly, be sure that your answers are legible and complete, some questions have more than one part. Which of the following pictures best represents the surface x2. What does the spherical coordinates equation = represent: a sphere, a half space, a half cone, a plane. Find the area of the triangle with vertices p (1, 0, 0), q(0, 1, 0) and r(0, 0, 1). L1 : x = 1 + t, y = 1, z = 2 + t. L2 : x = 2 + t, y = 1 + 2t, z = 3 + 2t. Find the volume of the parallelipiped spanned by the vectors a = i + j + k, b = i + j + k, and c = 2i + j + 3k.
