Find the flux F(x,y,z)=2xi+2yj+zk across the part of the paraboloid z=4-x^2-y^2 above the xy-plane with downward orientation.
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Find the flux F(x,y,z)=2xi+2yj+zk across the part of the paraboloid z=4-x^2-y^2 above the xy-plane with downward orientation.
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- Integrate F = 3x2yi + (x3 + 1)j + 9z2k around the circle cut from the sphere x2 + y2 + z2 = 9 by the plane x = 2.Find the flux of F = (x - y)i + xj across the circle x2 + y2 = 1 in the xy-plane.Find the scalar equation for the plane passing through the point P=(−4, 2, 10) and containing the line L defined byx = −8+14ty = 6+4tz = 12
- Find a scalar equation of the plane that passes through the points (1, 1, 1) and (2,0, 3) and is perpendicular to the plane x+ 2y – 3z = 0.Find the scalar equation for the plane passing through the point P=(-5, 3, 2) and containing the line L defined by x = −7+6t y = −2+4t Z=-2 0=0Find the upward flux of F = (14e*, -7e, -6) through the first-octant part of the triangle x+2y+3z = 6. Answer: E
- Parametrize the intersection of z = -sqrt(x2 + 7y2) and x2+ y2+ z2 = 200(B) Integrate paraboloid 1 z)=√²+² over the surface cut from the end of the (x, y, z) = - 2x-y²-2-0 by the plane .x=1.Double integrate under the hyperbolic paraboloid z=x2-y2 on the triangular footprint made by the x and y axes and the line y=-x+1? Thank you