Let F=-yi+xj and let C be a curve consists of the line segment C₁ from (0,0) to (4,0) followed by the upper semicircle C₂ of the circle x² + y² = 4x, with counterclock- wise orientation.

Q: Q5) Find the coefficients a, b, c and d such that the curve defined by; y = ax³ + bx² + cx + d,…

A: Given: The curve y=ax3+bx2+cx+d passes through the points 0, 10, 1, 7, 3, -11, 4, -14. To find: The…

Q: Consider the circle drawn in the xy-plane with center point (-5, 12). (x,y) (a) Determine the radius…

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Q: Find ∫C (2z + 9) / (z2 + 2z - 3) where C is the circle |z - 2| = 3.

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Q: Find the equation of the circle if the circle is tangent to the line x + y = 1 at the point (0,1)…

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Q: Find the midpoint of these two points (4, 6) and (7, 10) Use the formulas: x = (x1 + x2)/2 %3D y (yi…

A: Consider the points, 4,6      and         7,10 The midpoints of two points is given by the formula,…

Q: Q5) Find the coefficients a, b,c and d such that the curve defined by; y = ax3 + bx² + cx + d,…

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Q: Which equation represents a circle with a center at (2, - 7) and a radius of 4 units?

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Q: Give a parametric representation for the straight line segment from the point (1,-1,2) to the point…

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Q: Find the equation to the conicoid generated by lines parallel to the plane XOY, intersect OZ and the…

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Q: Find the distance from the point (2, 2, 3) to the line x = 0, y = 2 + 2t, z = 3 + t.

A: Given point (2,2,3)and line is x=0 , y=2+2t ,z=3+t.

Q: Find parametric equations for the line in which the planes, X+2y-2z=5 and 5x-2y-z=0 intersects. Show…

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