Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y=2-x if 8 = 4x +9y + 2.

Q: Suppose XY has coordinates X( -2, 5) and Y(3, -9). What are the coordinates for the midpoint of XY?

A: To find the Midpoint of the line.

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

A:

Q: 6. Find the area of the surface generated when y = v4x + 6 is revolved about the x- axis on the…

A: 80π

Q: Consider a parabolic arch whose shape may be represented by the graph of y = 9 - x2, where the base…

A: Pick a point P at the considered arc,  that is                         p = x , 9-x2…

Q: Find the shortest distance from the POINT (1, 0, -2) to the plane x + 2y + z = 4 (round-off the…

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Q: Let y= - Find the intersection of these surfaces, Calculate the GB of wrt lex order x>4>2)

A:

Q: Find Duf at P. f(x, y, z) = 6x³y³z³; P(2, — 2, 2); u = Duf = i + - 2|3 k

A:

Q: Calculate (4x² + Se) dy, where C is the triangle of vertices (0,0), (2,0) and (2,2). [(4x²+ Note:…

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Q: Find the minimum distance from the point (4,2) to the parabola y2 = 8x.

A: We have to find the minimum distance from the point (4,2) to the parabola y2=8x.