Unformatted text preview: Steepest descent = -|▼F| When a hiker has no slope find vector perp. To |▼F| by <-fx,fy,0> Points parallel to a plane: Solve for ▼F set = K<np> solve for K, use K to solve for x,y,z Type V Solving for critical points. Fx = 0 fy = 0 and fx = fy Second derivative test: d = fxx(fyy) –(fxy)^2 When fxx is negative, and d is positive = loc. Max When fxx is positive and d is positive = local min When fxx, is either, and d is negative = saddle point To find the values plug the critical point in to f(x,y) When finding equation point closest to another point, set D^2 = (x + a)^2 + (y+b)^2 + (z+c)^2 where (a,b,c) = the point ▼F=▼G K solve for (x,y,z) by solving for K and plugging it into the ▼G K VI Find the critical points, and the extremes test by plugging into ▼F, greatest value = max smallest = min Type VII Solve for xyz using ▼F = ▼G K Take the xyz and f\plug them into ▼F to solve for abs min amd max...
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This note was uploaded on 07/19/2010 for the course EK 211 taught by Professor Attaway during the Spring '10 term at BU.
- Spring '10