Find the point P(z, y, z) at which the paraboloid has a tangent plane parallel to the plane (z, y, z) = sin (0) M m ----- ------ --- DO C z = 9y² + 9₂² 7z+ 5y + 3z-2. Ba
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- Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2 + y2 and the ellipsoid 3x2 + 2y2 + 6z2 = 29 at the point (−1, 1, 2).Find an equation of the tangent plane to the surface z = -3x? + 3y – 2x + 2y + 2 at the point (2, 1, -9). = ZFind the points on the surface 3x² + 5y² + 2z² = 1 at which the tangent plane is parallel to the plane 2x + 2y + 3z = -7. and 16
- A bee was flying upward along the curve that is the intersection of z = x⁴+xy³+12 with the plane x=1. At the point (1,–2,5), itu event off on the tangent line. Where do the bee hit the xz-plane?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 youThe plane x = 1 intersects the paraboloid z = x2 + y2 in a parabola. Find the slope of the tangent line to the parabola at (1, 2, 5)
- Find the parametric equations of the line tangent to the curve of intersection of the surfaces x² + y² = z and x² + y² = 4 at the point (√2, √2,4).Find parametric equations for the line tangent to the curve of intersection of the surfaces tan-1(x? + y? + z²) + e(2 Inx+3In y) – xvz and 15 sec-1(2v2x + 2v2y + v2z) at the point (1, 1, 1).Find an equation of the tangent plane to the surface z=−1x2+3y2−3x+1y+1 at the point (2, 2, 5).
- Find a point on the ellipsoid x2 + 4y2 + z2 = 9 where the tangent plane is perpendicular to the line with parametric equations x = 2 − 4t, y = 1 + 8t, and z = 3 − 2tFind an equation of the tangent plane (in the variables x, y and z) to the parametric surface.r(u,v)=⟨4u,4u^2+5v,−3v^2⟩ at the point (4,-6,−12).