10. [-/1 Points] DETAILS LARCALC11 13.R.069. Find an equation of the tangent plane to the surface...
2. DETAILS LARCALCETZM 13.7.021. (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6,3, 27) - 2 / 2 (b) Find a set of symmetric equations for the normal line to the surface at the given point. y = 2 12 -6 -1 x - 6 = y - 3 = 2 - 27 X + 6 y + 3 2 + 27 12 -6 -1 x + 6...
Find the equation of the plane tangent to the following surface at the given points. x2 + y2 - 2? + 5 = 0; (4,2,5) and (-2,-4,5) The equation of the tangent plane at (4,2,5) is = 0. the equation of the tangent plane to the surface
Consider the following. w = In(x2 + y), x = 2t, y = 5 - t (a) Find af by using the appropriate Chain Rule. (b) Find by converting w to a function of t before differentiating. -/1 POINTS LARCALC11 13.R.054. Differentiate implicitly to find oux x2 = 9 x + y -11 POINTS LARCALC11 13.R.069. Find an equation of the tangent plane to the surface at the given point. z = x2 + y2 + 9, (1, 2, 14)
Find the equation of the tangent plane to the surface at the given point a. z = x2 + y2 + 2 (1,3,12)
4. [0/8 Points) DETAILS PREVIOUS ANSWERS LARCALC11 2.5.045. Use implicit differentiation to find an equation of the tangent line to the ellipse at the given point. x2 y2 = 3, (5,-2) + 10 8 y = 2 X
(-15 Points] DETAILS LARCALC11 2.5.038. Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y - 3)2 = 37, (-3,9) y = Your answer cannot be understood or graded. More Information X Circle 3,9) 8 2 8
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).
([8]) Find the point on the surface z = x2 + 2y2 where the tangent plane is orthogonal to the line connecting the points (3,0,1) and (1,4,0). Useful formula: The curvature of the plane curve y = f(x) is given by k(x) = \f"|(1 + f/2)-3/2, ([9]) Use spherical coordinates to find the volume of the solid situated below x2 + y2 + 2 = 1 and above z= V x2 + y2 and lying in the first octant.
1) Assume you are given the surface S with equation 2 1- (a) Find the equation of the tangent plane to S at the point (V6, 1) (b) Find a point on the surface S so that the tangent plane to S at that point contains the point (3,0, 0). (c) Give an equation for and geometrically describe the set of points on S so that the tangent plane to S at those points contains the point (3, 0,0). 1)...
UU. LIUC JUULIULIS. 1) Find the equation of the tangent plane to the graph z = 2x2 + 2xy + y2 + 1 at the point P(-1, -3, 18). 2) Find all critical value(s) and classify as maxima/minima/saddle points/none. F(x,y) = 2x + 4y - x2 - y2 - 3 3) Find the directional derivative of z = xy +x in the direction of v= <3,-4> at the point Q(1,4). Also find the direction of maximum increase at this point....