Hi, Please answer this question for me. The correct answers for a and c are r(t)=Asec(t+B)i +tan(t+B)j +Ce^t k for a and r(t)=(Acos(t) +Bsin(t))i + (Bcos(t)-Asin(t))j +(t+C)k for c. That's the answer from the answer book is that but I don't know how to work it out so kindly show me how it's worked out.

Thanks!

2. Find the field lines of the three-dimensional vector functions (a) F(x, y, z) = xyi + (32 + 1) j+ zk. (b) F(x, y, 2) = yzi + xzj + xyk. (c) F(x, y, z) = yi - xj + k