Evaluate A dr where C is the line joining (0, 0, 0) and (2, 1, 1), given A= (2y + 3)I +xj+(yz – x)k. 91]
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![16. Evaluate
A · dr where C is the line joining (0, 0, 0) and (2, 1, 1), given
A=(2y + 3)I +xj+(yz – x)k.
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- if z=xarctan(y/z), find ∂z/∂x at x=0, y=1, z=1The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. Suppose that the joint pmf of X and Y is modeled as fxy (x,y)=c(x+y), x=1,2,3 and y=1,2,3. Check if the number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are independent.Minimize c = s + t + u subject to 3s + 2t + u ≥ 48 2s + t + 3u ≥ 48 s + 3t + 2u ≥ 48 s ≥ 0, t ≥ 0, u ≥ 0. c= (s, t, u) =