(1 point) Find the equation of the tangent plane to the surface z = y In(x)...
Find an equation of the tangent plane to the surface f (x, y) = x tan y at the point (2, /4, 2). a. x - 4y - z = b. None of these c. x + 4y - z = - d. -x + 4y - z = e. - x + 4y - z = /4 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to...
For the elliptic-paraboloid find the Cartesian equation of the tangent plane at the point on the surface where x = -2 and y = 1. Your answer should be an equation, expressed in terms of the Cartesian variables x, y and z using the correct syntax. For example: 3*x-2*y+5*z=2, or, 2*(x-1)+4*(y-2)+z-1=0, or 3*x+ 6*z=12-y, or y-x+35*(z-256)=20 Do not use decimal approximations all numbers should be entered as exact expressions, for example 5/2 2x2+y2-10-2, 0 < z < 10 2x2+y2-10-2, 0
Find an equation of the tangent plane to the given surface at the specified point. z = y In(x), (1, 8, 0)
At least one of the answers above is NOT correct. (1 point) Suppose f(x, t) = e 3t sin(x + 2t). (a) At any point (x, t), the differential is df = e^(-3t)cos(x+2t)dx+(e^(-3t))(2cos(x+2t)-2sin(x+2t))dt (b) At the point (-1,0), the differential is df = cos(-1)dx+(2cos(-1))+3sin(-1)dt (c) At the point (-1,0) with dx = -0.5 and dt = 0.3, the differential is df = 0.97344 Note. You can earn partial credit on this nrohlem (1 point) Consider the surface xyz = 20....
Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 6y), (7, 1, 0)
Given f(x, y): 10-2x2-y, find a) The equation of the tangent plane to the surface at the point (2.2,6) b) The parametric equations of the normal line at the point (2, 2, 6) c) The outward unit normal vector to the surface at the point (2, 2,6) d) Sketch the surface and the outward unit normal vector at the point (2, 2,6). 1. Given f(x, y): 10-2x2-y, find a) The equation of the tangent plane to the surface at the...
ya at the Find the equation for the tangent plane to the surface z = point P (1,-1,1). 2
Find the equation of the tangent plane to the surface at the given point a. z = x2 + y2 + 2 (1,3,12)
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)
EXAMPLE 1 Find the tangent plane to the elliptic paraboloid z = 2x2 + 4y2 at the point (1, 1, 6). SOLUTION Let f(x, y) = 2x2 + 4y. Then f(x, y) = fy(x, y) = fx(1, 1) = fy(1, 1) = Then this equation gives the equation of the tangent plane at (1, 1,6) as (x + 1) + (y - 1) Z or ZE