Q1(a) For the force field given by: F=(2x^3y^4 + x)i + (2x^4y^3 + y)j
i. Show that F is conservative,
ii. Use the scalar function to calculate the work done by F on an object moving along a curve C from (0,2,1) to (1,2,3)
(b) Solve 17 = 11x + 5x^2 by Newton-Raphson method, for first 3 iterations using three digits rounding.
(c) Compute z-transform for the following:
8 + Cos(ṅ̑̀/2 + ̀/4) - 5^n