MATH 222 Midterm: Kansas State MATH 222 222t1u94

• School: Kansas State University
• Department: Mathematics
• Course: MATH 222
• Professor: All

Document Summary

You have to show your work to receive full credit. The point value is indicated at the left of each problem. (10pts) 1. Sketch and label the vectors x + y , x y , x , below. y. Let x (t) = (t3, t2) , t 0 . V (1) , i. e. , the velocity when t = 1 . (2) the speed at t = 1 . (3) the unit tangent vector. N (1) . page 3 (10) find the radius of curvature at t = 1 and sketch the circle of curvature at t = 1 on the axes of (9). (15pts) 3. G (2) = (2, 3) , following derivatives. G be di erentiable vector functions and f a dif- (2) = (12, 4) , (2) = (2, 4) , f (2) = 2 , f (2) = 1 .