Calculate ∫ 3xzdx + 4yzdy + 2xydz, from the point A(0,0,0) to the point B(1,1,2), along the paths: i) line segment AB ii) intersection of surfaces z = x2+y2 and y = x Then, compare the results.

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A: The standard form of a hyperbola with the traverse axis on the x axis is x-h2a2-y-k2b2=1.  Here h,k…

Q: 7. a) Find the equation of the plane passes through the point P(1,2,-1), perpendicular to…

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A:

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Q: Let y= - Find the intersection of these surfaces, Calculate the GB of wrt lex order x>4>2)

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Q: . Find the shortest distance between the: x−1_y−3 a. point (1, 3, 2) and the line *-¹-y-3_2–7 1 -1 2…

A: Given planes:- P1: x+2y-5z-10=0 P2: 2x+4y-10z-17=0

Q: Q4:Show if the line (x = 5y +17, y+z-2= 0) lies in the plane 3x-41y-26z +1 = 0 or no ? Where does…

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A: Use equation of plane

Q: Please

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Q: Find an equation for the line of intersection of the planes bx+z=0, by+ cz =b, where b,c are real…

A: the equation of the line of intersection pf the given planes ...

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Q: Identify and draw the following surfaces. 3. (x – 2)² + y² = 4 %3D

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Q: x = z? + y? Name of the surface

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Q: Find the condition for the points(a, 0).(h, k)(0, b) when ab 0 to be collinear.

A: When points are colllinear area should be 0Therefore, 12a01hk10b1=012ak1b1+1hkb1=0