Let f(x,y) = √(xy) + x/y. let S be the surface z = f(x,y) and let P be the point on S (1, 1, f(1, 1)) and let Q be the point on S (16, 4, f(16, 4)). Find parametric equations for the line of intersection at the tangent planes at the points P and Q.
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Help with finding equation of tangent plane and parametric equations of normal line to surface given by x^2+y^2+z^2-2xy+4xz-x+y=12 at P(1,0,2).
Question 8 Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. Z= =e&y sin 8x: P 16 P G6,0,1) Tangent Plane: z = ? Edit Normal Line: X(t) = 2 Edit yt) = Edit z(1) = 1-1
Let f(0, -2) = 4 and 0f (0, -2) = 6,23). a. Write the parametric equations of the line in the xy-plane that is perpendicular to the contour f(x,y) = 4 at ( 0-2). b. Write an equation for the tangent plane to the surface z = f(x,y) at (0, -2,4).
find an equation of the tangent plane and parametric equations
of the normal line to the surface at the given point
z=-9+4x-6y-x^2-y^2 (2,-3,4)
Find the relative extrema. A) f(x, y) = x3-3xyザ B) f(x, y)=xy +-+-
Find the relative extrema. A) f(x, y) = x3-3xyザ B) f(x, y)=xy +-+-
6. (a) Newton's method for approximating a root of an equation f(x) 0 (see Section 3.8) can be adapted to approximating a solution of a system of equations f(x, y) 0 and gx, y) 0. The surfaces z f(x, y) and z g(x, y) intersect in a curve that intersects the xy-plane at the point (r, s), which is the solution of the system. If an initial approxi- mation (xi, yı) is close to this point, then the tangent planes...
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...
Question 8 Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. Р 14 Tangent Plane: z= Edit Normal Line: X(t) = ? Edit y(t) = Edit z(t) = 1-t
Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. x2 – xyz = 228; P(-6,8,4) Equation for the tangent plane: Edit Parametric equations for the normal line to the surface at the point P: Edit Edit z = 4 + 481
-US Help 1 System Announcements Anton, Calculus! Early Transcendentals, lle Start Time: 10:47 PM / Remaining: 79 min. ES Question 2 Find T() and N(t) at the given point. x = e' cost, y = e' sint, z = e'; t = 0 Enter the vector i as $7, the vector jas 7, and the vector k as T(0) = Edit N(0) = Edit US Anton, Calculus: Early Transcendentals, 11e Help | System Announcements tart Time: 10:47 PM / Remaining:...
(a) Find symmetric equations for the line that passes through the point (4, -2, 6) and is parallel to the vector (-1, 3, -4) x+ 4-Y+ 2 3 z-6 -4 -(x +4) 3(y 2)-4(z +6). y+2 z-6 3 -(x-4) 3(y +2) -4(z- 6). o4-2-116 = Y - 2-z+6 3 (b) Find the points in which the required line in part (a) intersects the coordinate planes. 5 ,5,0 x ) point of intersection with xy-plane 10 7 point of intersection with...