ya at the Find the equation for the tangent plane to the surface z = point...
Find the equation of the tangent plane to the surface at the given point a. z = x2 + y2 + 2 (1,3,12)
Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 6y), (7, 1, 0)
4. (4 pts) Consider the surface z=x2y+y3.(a) Find the normal direction of the tangent plane to the surface through (1,1,2).(b) Find the equation of the tangent plane in (a).(c) Determine the value a so that the vector−→v=−−→i+ 2−→j+a−→k is parallel to the tangent plane in (a).(d) Find the equation of the tangent line to the level curve of the surface through (1,1). 4. (4 pts) Consider the surface z = z2y + y). (a) Find the normal direction of the...
(1 point) Find the equation of the tangent plane to the surface z = y In(x) at the point (1. -9,0). Z- Note: Your answer should be an expression of x and y, e.g. 3x - 4y + 6.
Find the equation of the tangent plane to the surface z=e4x/17ln(2y) at the point (4,3,4.59227)
3.(10 points) Find an equation of the tangent plane to the surface (a) z = xe” at the point P(1,0,1). (6) sin xz - 4 cos yz = 4 at the point P(11,1,1).
Find an equation of the tangent plane to the given surface at the specified point. z = y In(x), (1, 8, 0)
Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1, 4). You don't have an equation for S but you know that the curves r1()(3 2t, 1 - t2,4 5t+t2) r2(u) (2u2, 2u3 1, 2u 2) both lie on S. Find an equation of the tangent plane at P. Find an equation of the tangent plane to the given surface at the specified point. = 4x2y2-9y, (1, 4, 16) z...
Find the equation for tangent plane and the normal line to the surface with equation x2 +972 +922 = 22 at the point P(2, 1, 1).
QUESTION 1 Find an equation for the tangent plane and normal line to the surface f(x, y, z)= z - 2e-* cos y at the point P. (0,1,1) (4 marks)