Number 25 please show work Find the work done by F over the

Find the work done by F over the curve in the direction of increasing t. 24) F = 6yi + Squarerootzj + (5x + 6z)k; C: r(t) = ti + t^2j + tk, 0 lessthanorequalto t lessthanorequalto 2 A) W = 0 B) W = 38 + 16Squareroot2/5 C) W = 59 + 20Squareroot2 D) W = 38 + 20Squareroot2 Calculate the flux of the field F across the closed plane curve C. 25) F y^2i + x^2j; the curve C is the closed counterclockwise path formed from the semicircle r(t) = 2 cos ti + 2 sin tj, 0 lessthanorequalto t lessthanorequalto pi, and the straight line segment from (-2, 0) to (2,0) A) 8/3 B) 0 C) -8/3 D) 16/3 Find the work done by F over the curve in the direction of increasing t. 26) F = 2zi + 8xj + 8yk; C: r(t) = ti + tj + tk, 0 lessthanorequalto t lessthanorequalto 1 A) W = 18 B) W = 36 C) = 6 Evaluate the line integral along the curve C. 27) integral_C (y + z) ds, C is the straight-line segment x = 0, y = 2 - t, z = t from (0, 2, 0) to (0, 0, 2) A) 4Squareroot2 B) 4 C) 2 D) 0

Solution

answer is C