Set B2

DO NOT COPY THE ANSWER OF THE PREVIOUS POST QUESTION OR ANSWERS ON THE INTERNET. Note: If you have already answered the problems in this post, kindly ignore it. If not, then answer it. Thank you, Tutor! Content Covered: - Cross Product and Scalar Product - Vector Projections and Direction Angles - Vector Operations (Dot Product) - Unit Vectors - Vectors in Plane and in Space Directions: Answer the problem below by showing the complete solution. In return, I will give you a good rating. Thank you so much! Note: Please be careful with the calculations in the problem. Kindly double check the solution and answer if there is a deficiency. And also, box the final answer. Thank you so much!

Find a unit normal vector to the surface at the given point. [Hint normalize the gradient vector VF{X, y, 2).] Surface Point x2+y2+22=14 (3.2:1) S Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize f(x, y) = 5x + 5xy + y Constraint: 5x + y = 250Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated point. Curve Point Line: X - y = 6 (0, 2)Use Lagrange multipliers to solve the following exercise. Find three positive integers X, y, and 2 that satisfy the given conditions. The product is 64 and the sum is a minimum. (mums) Let T(x, y, z) = 100 + x2+ y represent the temperature at each point on the sphere x2 + y + z = 30. Use Lagrange multipliers to find the maximum temperature on the curve formed by the intersection of the sphere and the plane X - Z = 0. Need Help? Master It