Evaluate the line integralſ (x+2y) dx + x² dy, where C consists of line segment from (0, 0) to (2, 1) and from (2, 1) to (3,0).

Q: Find the cross product x where = 71-7j -4k and 7 = (-4,-3, 4). úxv=

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Q: Find the distance between the points (3,6) and the line x - 2y +3 =0.

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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: Find an equation of the line through (-2, 5, 3) that is perpendicular to both u = (1, 1, 2) and the…

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Q: find the y-intercept of the line that passes through (1,2,-3) and is parallel to the wing 1/3(x-4)=…

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Q: Find the distance of the point (1,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

A: Firstly we will find a line passing through (1,3) and parallel to x-y+1=0 Then the point of…

Q: Determine the slope of 3(x² +y´) = 100xy at the point (3,1)

A: The given function is 3x2+y2=100xy. Evaluate the slope dydx by implicit differentiation as follows.…

Q: Find the distance from (-2,-1) to (3,2)

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Q: Find the distance from the point (8,-2,-4) to the line ā(t) = (-1,-4, 1)t + (-5,5,8).

A: We will solve the given problem,