# APPM 1350 Midterm: appm1350spring2016exam3_sol

## Document Summary

1 and the (b)(8 pts) suppose an object has velocity v(t) = t2 4, nd the total distance travelled by the object for 0 t 4. (c)(8 pts) if z 4. Solution: (a)(8 pts) note that x = (b a)/n = (4 0)/4 = 1 and so xi = a + i x = 0 + i 1 = i for i = 0, 1, 2, 3, 4. 2 a2: the following problems are not related, justify your answers and cite any theorems that you use. Express z 3 dx in terms of f . (justify sin(2x) x. 1 your answer and cite any theorems that you use. ) Solution: (a)(8 pts) using the chain rule and the fundamental theorem of calculus (part i) we have d dx z 3x. 0 sin(t4) dt 2 sin(81x4) (b)(8 pts) the total distance is given by dy/dx =