MATH 2153 Midterm: Math 2153 midterm-1-solutions

• School: Ohio State University
• Department: Mathematics
• Course: MATH 2153
• Professor: All

Document Summary

Decide if the following statements are true or false and circle your answer. Practice midterm 1 math 2153 your answers. (a) (1 point) if u and v are vectors in r3 then (u v) u = 0. Solution: t (b) (1 point) if r(t) = hr1(t), r2(t), r3(t)i is a vector-valued function and |r(t)| = 4 for all t r then r r = 0 for all t. Solution: t (c) (1 point) let u and v be a vectors in r3. Then u (u v) is a vector in r3. Then h is continuous at f (a, b). h(t) = f (g(t), g(t)). Solution: f (f would have to be continuous at (g(f (a, b)), g(f (a, b))): give examples of the following. You do not need to justify your answers. (a) (2 points) give an example of a continuous vector-valued function r(t) which is not di erentiable at t = 2.