Compute the normal vector to the surface Ф(и,0) %— (и? — 0?, и +0, и — 0) at that point (4,3).
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- Find the equation of the plane going through the point P(2, 3, −1) with a normalvector given by n =< 1, 2, −1 >.The vector v = <a, 1, -1>, is tangent to the surface x2 + 2y3 - 3z2 = 3 at the point (2, 1, 1). Find a.Find a vector function that represents the curve of intersection of two surfaces: z = x? - y? and x' + y² =1
- Find the normal vector to the surface z = xe™Y at the point (2,0, 2).Find the vector equation that represents the curve of intersection of the paraboloid z = 4x² + y² and the surface x = e". Write the equation so that one of the functions is simply t. x(t) = y(t) = = z(t): =Find an equation of the normal line to the surface z = ye2ay at the point (0, 2, 2).
- 1. Find the unit normal vector to the surface z = x² + y² at the point (3, 4, 5).Find a vector normal to the surface x2 + y2 − z = 0 at the point (3, 4, 25). Find the equations of the tangent plane and normal line to the surface at that point.Determine the equation of the normal line to the surface z2 cos(x + 2y) at the point (2, -1,0).