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# Quiz3 - ESP Quiz 3(Kouba Please PRINT your name here This...

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Unformatted text preview: ESP Quiz 3 (Kouba) Please PRINT your name here : ___________________________________________________________ This quiz is due next Tuesday at the beginning of ESP class. 4 1.) (15 pts.) Find and classify the critical points for z = 4133/ — :E — 3/4. ‘2.) (15 pts.) Show that z : 111(1 + £132 + 3/2) satisfies the equation zmy + zxzy = 0 . ‘3) (15 pts.) Determine a function 2 whose partial derivatives are 293 = e”2 ——y sin(a:y)+3:1:2 and zy : 227346342 — msin(a:y) + sec2 y , or conclude that this is impossible. 4.) (15 pts.) Find the point (51:,y,z) on the plane :1: + 2y + 3z 2 6 which is nearest the origin. ...
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