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Consider the following. w = x cos yz, x = s², y = t², z =s - 2t (a) Find aw/as and aw/at by using the appropriate Chain Rule. aw - 2s cos (1²) - xy sin (1²) = əs Əw at Əw Əs = Əw at × (b) Find aw/as and aw/at by converting w to a function of s and t before differentiating. 2s cos (st² - 21³) - s²²sin (st² – 21³) - -2s³t sin (st² - 21³) + 6s²t sin(st² - 2³) x 2xy sin (²) - 2xtz sin (²) ×

Consider the following. w = x cos yz, x = s², y = t², z =s - 2t (a) Find aw/as and aw/at by using the appropriate Chain Rule. aw - 2s cos (1²) - xy sin (1²) = əs Əw at Əw Əs = Əw at × (b) Find aw/as and aw/at by converting w to a function of s and t before differentiating. 2s cos (st² - 21³) - s²²sin (st² – 21³) - -2s³t sin (st² - 21³) + 6s²t sin(st² - 2³) x 2xy sin (²) - 2xtz sin (²) ×

Advanced Engineering Mathematics
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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Consider the following. w = x cos yz, x = s², y = t², z =s - 2t (a) Find aw/as and aw/at by using the appropriate Chain Rule. aw - 2s cos (1²)-xy sin (²) = əs Əw at Əw Əs = Əw at × (b) Find aw/as and aw/ât by converting w to a function of s and t before differentiating. 2s cos (st² - 21³) - s²²sin(st² – 21³) - -2s³t sin (st² - 21³) + 6s²t sin(st² - 2³) x 2xy sin (²) - 2xtz sin (²) ×
Transcribed Image Text:Consider the following. w = x cos yz, x = s², y = t², z =s - 2t (a) Find aw/as and aw/at by using the appropriate Chain Rule. aw - 2s cos (1²)-xy sin (²) = əs Əw at Əw Əs = Əw at × (b) Find aw/as and aw/ât by converting w to a function of s and t before differentiating. 2s cos (st² - 21³) - s²²sin(st² – 21³) - -2s³t sin (st² - 21³) + 6s²t sin(st² - 2³) x 2xy sin (²) - 2xtz sin (²) ×
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