Evaluate ∫_C▒〖(x-y)dx+(y-z)dy+xdz〗 where C is the curve from (1,-2,3) to (-4,5,2) if C consists of three line segments, the first parallel to the z-axis, the second parallel to the x-axis and the third parallel to the y-axis C is the line segment

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A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

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A: Given points , ( 0 , 5 ) & ( -5 , 0 )

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A: Consider the provided question, (21) First find the intersection point of the two lines,

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Q: Q2/ Find the distance between the Line 2x - 2y + 1 = 0 & 3z + 2y = 4 to the Z-axis.

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Q: Q2/ Find the distance between the Line 2x - 2y + 1 = 0 & 3z + 2y = 4 to the Z-axis.

A: We have to find the distance between the line  to the axis

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A: Given: The point (5, -1) and the line  x = 3y -12. To find: The distance between the given point and…