MATH 222 Midterm: MATH 222 KSU Test 1s97

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

Document Summary

To receive credit you must show your work. (10) 1. For the parametric curve x = t3 + t , y = 1 + t + sin t , nd as a function of t . Now nd the equation of the line which is tangent to the curve at the point when t = 0 . dy dx. Calculate the arc length of the curve x = A particle is moving in the plane according to the parametric equations x = t2 , y = t3 3t where t is the time. Find, as functions of t : position vector ~r(t) , velocity vector ~v(t) , acceleration vector ~a(t) , speed ds dt. An object is moving in the plane in such a way that its acceleration vector as a function of time t is ~a = (cos t)~i + 2~j .