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

Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of…

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is…

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: 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: Find the distance from the point (0,1,-1) to the line a(t) = (-2, 2, 4)t + (-6, - 1,5)

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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 the point (-7,-8,5) to the line ä(t) =(2, 5, 3)t + (-1, 3, 4).

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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,