3 (a) Find the work done by the force

F(x, y, z) = xyi+yzj+zxk

in moving a particle along the curve C' given by

x(t)=t, y(t) = t², z(t)= t³ 0≤t≤1.

(b) Evaluate the double integral

5² 5² √² - 0²

1- v² du dv.

19682

[5 marks]

[5 marks]