MATH 246 Midterm: Exam 3 No Solutions Summer 1992

• School: University of Maryland
• Department: Mathematics
• Course: MATH 246
• Professor: All

Document Summary

Show all work in a clear and concise manner to get maximum credit. Circle your answers: (15 points) sketch the curve ~c(t) =< 1 + t, 2 t >, t 0. 4 with the direction of the positive curve where the velocity vector makes an angle of y axis. Let x = 1 + t, y = 2 t (note y 0) so t = y2 half of the parabola with vertex at (1,0). 3 ah where a is (1, 0, 0), (0, 0, 2), ( 1, 1, 0) . Choosing the middle point as a base point, ~n =< 1. 0, 2 > < 1, 1, 2 > =< 2, 4, 1 > is a normal vector to the base and also a = 1. Find the height if the apex is at the point (0,1,0). We project the vector joining (1,0,0) to (0,1,0) in the direction of ~n to nd h = | < 1, 1, 0 > .