6. Let R be the region in the xy-plane bounded by the curves y = x2 and y = 8 – x². Sketch this region and then express R using set builder notation.

Q: Determine the geometric location of the points in R3 that equidistant from the plane y = 3 and the…

A: This is question of 3d geometry and locus.

Q: (x- 2y) dA on the parallelogram P bounded by y = 5 – 2x, y = 7- 2x, y = 3x – 6, and y = 3x + 2. Use…

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Q: get the following sets {(x, y) : x ∈[1, 2], y ∈[1, 2]} and {(x, y) : x = 2, y ∈[0, 1]}

A:

Q: If (x1, yı) and (x2, y2) are distinct points in the plane, show that y 1 1 =0 X1 x2 y2 is the…

A: If (x1, y1) and (x2, y2) are distinct points in the plane, to show that  xy1x1y11x2y21 =0 is the…

Q: What are the coordinates of the point on the directed line segment from (-9, –2) to (9, –6) that…

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Q: Find the length of the line segment CL whose endpoints are C(0, 2b) and D(2a, 0). (1) 2b – 2a (3) 2b…

A: Given data: The coordinate of C is (x1, y1)=(0, 2b). The coordinate of D is (x2, y2)=(2a, 0). The…