Question

Find the value of the line integral for f(x,y,z) = (x^2)+y-z over the path connecting the line segments (1,1,1) and (0,1,1)

Answer 1

R is zero

Explanation:

Answer 2

(b) Along the straight line from (0, 0, 0) to (0, 1, 1), x = 0, y = 0, dx = 0, dy = 0, while z ... 6(1)(1)}dx + {2(1)+3x(1)} + {1 – 4x(1)(19°30 = S (3x' – 6)dx=-5 ... (c) The straight line joining (0,0,0) and (1, 1, 1) is given in parametric form by x = 1, y = 1, z = 1. ... From this it follows that the line integral around any closed path in R is zero, ...

Explanation: