дz in terms of r and t using chain rule if given that z=√√√4x² - y²₁ 1) Find and simplify dt x=r cosh ( 2t) and y=r sinh( 2t) - 1.
дz in terms of r and t using chain rule if given that z=√√√4x² - y²₁ 1) Find and simplify dt x=r cosh ( 2t) and y=r sinh( 2t) - 1.
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:дz
1) Find and simplify in terms of r and t using chain rule if given that z=√√4-x² - y²,
dt
x=r cosh ( 2t) and y=r sinh (2t) - 1.
2) By using Lagrange multiplier method, find the maximum value of f (x, y, z)=x+ z subject
to the condition x² + y² + z²=10.
3) Use polar coordinate to evaluate
1
S'S_√x² + y² dxdy.
0
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