EXERCISES 5: Find equations for the (a) tangent plane and (b) normal line at the point Po on the given surface 2z - x2 0, Po(2, 0, 2) 2.
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Q: EXERCISES 4:Find the tangent line at the given point x² - xy + y? = 7, (-1,2) 2.
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- In Exercises 1–10, find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. 10. Picture attachedFind parametric equations for the normal line to the following surface at the indicated point.z = 4x2 − 5y2; (4, 5, -61)In your answer, use the given point and a unit direction vector that has a positive x-coordinate.Find the equations of (i) the tangent plane and (ii) the normal line to the surface z = excos(y) at (0, 0, 1).
- Find equations of (a) the tangent plane and (b) the normal line to the surface 2(x−2)^2 + (y−1)^2 + (z−3)^2 = 10, at the point (3,3,5).Find a parametric equation of the normal line to the following surface at the point (x, y) = (1, 2)find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. 2z - x2 = 0, P0(2, 0, 2)
- Find the symmetric equations of the normal line and tangent plane to the surface 7 = xe^y cos z at the point (3, 0, π)Find an equation of the tangent plane to the surface y ln xz2 = 2, at the given point (e, 2, 1) and find a set of symmetric equations for the normal line to the surface at the given point.How to generate the curve over the interval for the parameter t then find the equivalent rectangular equation?
- Find an equation of the tangent plane to the surface x2 + y2 + z2 = 9 at the given point (1, 2, 2) and find a set of symmetric equations for the normal line to the surface at the given point.Find an equation of the tangent plane to the surface z = √(9 − x2 − y2), at the given point (1, 2, 2) and find a set of symmetric equations for the normal line to the surface at the given point.Determine the equation of the tangent plane and normal line to the surface at the given point. z=((x^2)/9) + ((y^2)/4) at the point (3, 2, 2)