x and y = 4 x? a). Sketch the region that is common to y=Vx, y=2x,...

 

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x² and y = 4 x? a). Sketch the region that is common to y=Vx, y=2x, y = and use the change of the 3 variables x= uv73 and y =u3y/3 to find the area of the region that is common to all. b). While designing the ceiling of a building at USP, the Engineers had the height above the floor as 1 z = 20+x. The engineers wanted to be creative so they made a wall whose path is modeled by 4 y = x2. The mathematics students at USP were overwhelmed by this and using the concepts learned in class, decided to find the surface area of the wall for 0<x < 40. Find the surface area of the wall? m z(3xyi +(2y -x) j) where (x* + y*)% c). The Earth's magnetic field is F(x, y) = M (x, y)i+N(x, y)j = m the magnetic moment of Earth. Show that this vector field is conservative. x² and y = 4 x? a). Sketch the region that is common to y=Vx, y=2x, y = and use the change of the 3 variables x= uv73 and y =u3y/3 to find the area of the region that is common to all. b). While designing the ceiling of a building at USP, the Engineers had the height above the floor as 1 z = 20+x. The engineers wanted to be creative so they made a wall whose path is modeled by 4 y = x2. The mathematics students at USP were overwhelmed by this and using the concepts learned in class, decided to find the surface area of the wall for 0<x < 40. Find the surface area of the wall? m z(3xyi +(2y -x) j) where (x* + y*)% c). The Earth's magnetic field is F(x, y) = M (x, y)i+N(x, y)j = m the magnetic moment of Earth. Show that this vector field is conservative.