chang03.doc

# chang03.doc - 1. a. syms x y z l F= x^2+2*y^2+3*z^2-1 F =...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1. a. syms x y z l F= x^2+2*y^2+3*z^2-1 F = x^2 + 2*y^2 + 3*z^2 - 1 diff(F,x) ans = 2*x diff(F,y) ans = 4*y diff(F,z) ans = 6*z P = 3*x-y+3*z-1 P = 3*x - y + 3*z - 1 gradP=[diff(P,x),diff(P,y),diff(P,z)] gradP = [ 3, -1, 3] gradF=[diff(F,x),diff(F,y),diff(F,z)] gradF = [ 2*x, 4*y, 6*z] f=solve('2*x *l=3', '4*y*l = -1', '6*z*l = 3','x^2+2*y^2+3*z^2-1') f = l: [2x1 sym] x: [2x1 sym] y: [2x1 sym] z: [2x1 sym] [f.x,f.y,f.z,f.l] ans = [ (3*2^(1/2))/5, -2^(1/2)/10, 2^(1/2)/5, (5*2^(1/2))/4] [ -(3*2^(1/2))/5, 2^(1/2)/10, -2^(1/2)/5, -(5*2^(1/2))/4] pt1=[ (3*2^(1/2))/5, -2^(1/2)/10, 2^(1/2)/5, (5*2^(1/2))/4] pt1 = 0.8485 -0.1414 0.2828 1.7678 pt2 =[ -(3*2^(1/2))/5, 2^(1/2)/10, -2^(1/2)/5, -(5*2^(1/2))/4] pt2 =-0.8485 0.1414 -0.2828 -1.7678 b. syms r s x y z f=(1-3*x+y)/3 f = y/3 - x + 1/3 ezsurf(sin(r)*cos(s),(sin(r)*sin(s))/sqrt(2),(cos(r))/sqrt(3)) hold on ezsurf(1.17768-x+0.3323*y) 2. a. syms x y T=2*x^2+3*y^2-2*x T = 2*x^2 - 2*x + 3*y^2 Tx = diff(T,x) Ty= diff(T,y) Tx = 4*x - 2 Ty = 6*y Sol=solve(Tx,Ty) Sol = x: [1x1 sym] y: [1x1 sym] [Sol.x,Sol.y] ans =...
View Full Document

## This note was uploaded on 09/04/2011 for the course MA 280 taught by Professor Profdecir during the Spring '11 term at Montgomery College.

### Page1 / 11

chang03.doc - 1. a. syms x y z l F= x^2+2*y^2+3*z^2-1 F =...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online