Question

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]

Fig: 1