2 Question 1. Find all critical points of f(x,y) = x3 + y2 − 6xy + 6x + 3y and determine whether each is a local max, local min, or saddle point. 3 Question 2. Find the extreme points of f(x,y,z) = x...

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2 Question 1. Find all critical points of f(x,y) = x3 + y2 − 6xy + 6x + 3y and determine whether each is a local max, local min, or saddle point. 3 Question 2. Find the extreme points of f(x,y,z) = x + z subject to the constraint x2 + 3y2 + z2 = 4. Question 3. Find the moving frame T,N,B for the path x(t) = h4cos(2t),3t,−4sin(2t)i. 5 Question 4. Consider the vector field F(x,y) = (y,−x). (a) Sketch the vector field. (b) Calculate div(F) and curl(F). (c) which of the following paths qualify as flow lines for F: r1(t) = hsin(2t),cos(2t)i r2(t) = hcos(3t),sin(3t)i r3(t) = hsin(t) + cos(t),sin(t) − cos(t)i Question 5. (a) Find the arc length for x(t) = ht3,3t2,6ti on the interval −1 ≤ t ≤ 2 (b) Find the arc length of the path from t = 0 to t = 2. This is a sample question.can you help me find a tutor because I need him to help me solve five math problems in one hour at noon tomorrow (11.pm). California time. will need answers within 1 hour  Only need the general problem-solving steps, already answered. Write it on the paper and take a photo and send it to me by email sample file given, will provide the actual questions at noon tomorrow (11.pm). California time Only need the general problem-solving steps, already answered. Write it on the paper and take a photo and send it to me by email