Q4/ Find the centroid of the triangular region cut from the first quadrant by the line x + y = 3.

Q: Identify the surface for z=r^

A: Given z=r2

Q: AP is perpendicular to PB, where A is the vertex of the parabola y^2 = 4x and P is on the parabola.…

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Q: Determine the centroid bounded by the parabolas x=y^2 and x^2=-8y

A: Consider the given curves. x2=-8yx=y2

Q: Find the centroids of the function, y=4x-x^2, y=x (please sketch the graph)

A: Let's find.

Q: Please draw the graph that shows the cross section of the function f(x,y)=2y^3+3y^2−2x+4 and the…

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Q: The hill has the shape of a cone, which in the XYZ system has the equation z = 4 - sqrt(x^2+y^2) A…

A: Given that hill has the shape of the cone given by z=4-x2+y2 and the tourist moves uphill whose path…

Q: Find the cross product a × b. a = (t, t2, t3),      b = (1, 6t, 8t^2)

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Q: Find the area and centroid bounded by y=-x^2+6, y=x^2+3x. Graph

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Q: | Let w=z² Find the image of the first quadrant in Z-Plane 2

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Q: The centroid of the area bounded by the parabola y^2 = 4ax and the line x = p coincides with the…

A: Please see the attachment

Q: Find the area of the curved surface z=x+y^2 on a triangle with three points (0,0), (1,1), and (0,1)…

A: The given problem is to find the area of the curved surface z=x+y2 on a triangle with three points…

Q: Find the area of the plane x−2y+5z=13 cut out by the cylinder x^2+y^2=9

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