Let z(x, y) = xy where x = r cos(20) & y = r sin(30). dx dy ду az & dr az Calculate by first finding & and using the chain dr' dr rule. Note: To produce the 0 symbol, type the word "theta". dz ar dz Add Work Submit Question || |

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 40E
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Let z(x,y)=y where x=rcos(2theta) & y= rsin(3theta)
Let z(x, y)
= xy where x = r cos(20) & y = r sin(30).
az
дх ду д
ду
az
&
ar
Calculate
by first finding
&
and using the chain
ar' ar
rule.
Note: To produce the 0 symbol, type the word "theta".
dz
ar
dz
Add Work
Submit Question
|| |
Transcribed Image Text:Let z(x, y) = xy where x = r cos(20) & y = r sin(30). az дх ду д ду az & ar Calculate by first finding & and using the chain ar' ar rule. Note: To produce the 0 symbol, type the word "theta". dz ar dz Add Work Submit Question || |
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