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Solução_Calculo_Stewart_6e

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F.<br />

172 ¤ CHAPTER 15 PARTIAL DERIVATIVES ET CHAPTER 14<br />

TX.10<br />

73. z = x 2 + y 2 + cxy. Whenc0 thegraphshavethesameshape,butarereflected in the plane x =0, because<br />

x 2 + y 2 + cxy =(−x) 2 + y 2 +(−c)(−x)y. That is, the value of z is the same for c at (x, y) as it is for −c at (−x, y).<br />

c = −1, z =2 c =0 c =10<br />

So the surface is an elliptic paraboloid for 0

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