MATH 241 Midterm: MATH241H_HERB-R_SPRING2007_0101_MID_EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 241
• Professor: ALL

Document Summary

Math 241h - exam 1 - february 12, 2007. Find symmetric equations for the line containing the points (1, 1, 4) and (3, 2, 4). Find an equation of the plane that contains the point (2, 1, 1) and is perpendicular to the line with parametric equations x = 3 + t, y = 2 3t, z = 5 + 2t. F(t) = (cid:26) t i + (1 t) j + t2 k, (2 t) i + k, if t > 1 if t < 1. Compute limt 1 f(t), or explain why it doesn"t exist. Find the position and velocity of an object having acceleration a(t) = cos(2t) i + sin(2t) j + k, initial velocity v0 = k, and initial position r0 = i + j.