3. Let p= (1,2,-1) and h= (0.1,0.2,-0.1). For each of the differential 1-form w: R³ → C (R³, R) below, find wp(h). (a) wyz dr+rzdy + xydz (b) wry dx + yz dy + zadz (c) w = (2xyz + 2) dr + (x²z+1) dy + (x³y + x) dz.
3. Let p= (1,2,-1) and h= (0.1,0.2,-0.1). For each of the differential 1-form w: R³ → C (R³, R) below, find wp(h). (a) wyz dr+rzdy + xydz (b) wry dx + yz dy + zadz (c) w = (2xyz + 2) dr + (x²z+1) dy + (x³y + x) dz.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Let p = (1,2,-1) and h= (0.1,0.2,-0.1). For each of the differential 1-form w: R³L (R³, R) below,
find up (h).
(a) wyz dr+rzdy + xydz
=
(b) w rydz+yzdy+ zadz
(e) w = (2xyz + 3) dr + (x²z+1) dy + (x³y + x) dz.
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