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(1 point) Suppose z = tan 1 ( 7: ) , x = u cos(5v) , and y = u sin(5v) . Compute Oz/Ou and
(1 point) Suppose z = tan 1 ( 7: ) , x = u cos(5v) , and y = u sin(5v) . Compute Oz/Ou and Oz/Ov in two different ways: Find Oz/Ox and Oz/Oy as functions of u and v. Oz/Ox : az/dy = Now use your answers above to find Oz/Ou and Oz/Ov using the chain rule. Oz/du = Oz/Ov = Write = as a function of u and v. 2 = Now use your answer above to find Oz/Ou and Oz/Ov directly. az/ Ou = az/Ov = Use your answers above to find Oz/Ou and Oz/Ov at (u, v) = (7/7, 7/4). az du (u,v)=(1/7,/4) azz au (u,v)=(7/7,7/4)
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