Final practice exam 1 (solution) - FINAL PRACTICE EXAM...

This preview shows page 1 - 3 out of 6 pages.

FINAL PRACTICE EXAM I (SOLUTION)YI LI1.Determine if the following improper integral converges or diverges.If theintegral is convergent compute its value.
2.Letf(x, y) =(3x2y2x3+y6,if (x, y)6= (0,0),0,if (x, y) = (0,0).(a) Does the lim(x,y)(0,0)f(x, y) exist?(b) Isf(x, y) continuous at (0,0)?
3.Solve the following first order separable initial value problemdydx= (y-1)(y-2)withy(0) = 0.1
2YI LIWrite the differential equation asdy(y-1)(y-2)=dx.

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture