Find the point on the plane z = 8 – 3x + 2y for which the function x2 + 3y2 + Z is a minimum.
Find the point on the plane x - 2y ^ 3 * z = 6 that is closest to the point (0, 1, 1) .
Find the tangent plane to the equation z 2y cos(5x – 3y) at the point (3,5,10) z =
Find the equation of the tangent plane to the surface z=e4x/17ln(2y) at the point (4,3,4.59227)
Use Lagrange multipliers to find the point on the plane x − 2y + 3z = 6 that is closest to the point (0, 3, 5)
Find the point P on the line y = 3x that is closest to the point (20,0). What is the least distance between P and (20,0)? The point P on the line y = 3x that is closest to the point (20,0) is (Type an ordered pair.) The least distance between P and (20,0) is approximately (Round to the nearest tenth as needed.)
Find the following partial derivatives of z: A z = xy2e* B. z=(3x - 2y + 195
5e= 2y at the point (4, 8, 5) |Find the tangent plane to the equation z Preview xy at the point (6,8,10), and use it to approximate f(6.15, 8.19) 12 Find the linear approximation to the equation f(x, y) = 5, Preview f(6.15, 8.19) Make sure your answer is accurate to at least three decimal places, or give an exact answer
5e= 2y at the point (4, 8, 5) |Find the tangent plane to the equation z Preview
xy at...
I have attached the questions and the final solutions. Please do
all of questions 7 and 8
7. Given the line L:x,y,z-2,2,3+1,-1,-3, the plane S 3x-2y+2z-7 and the point A 1,1,1 a) Find parametric equations of the line which contains the point A, intersects the line and which is parallel to the plane b) Find parametric equations of the lne which contains the point A and which intersects the line Lat the&angle a) Show that V" is a subspace of...
Suppose we are looking for the point on the plane x + 2y + z = 5 closest to the point (2,3,0). Which of the following approaches DOES NOT lead to the answer? = 0 Solve the system of equationsJ 2(x - 2) - 2(5 - x - 2y) | 2(y-3) - 4(5 - x - 2y) = 0 Find the intersection point of the line r(t) = (2+ t, 3 + 2t, t) with the given plane. 2(x 2...