Saddle Point - Multivariable - Solved Quiz, Exercises of Calculus

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Math 206A: Winter 2012 Quiz 1 Correct answers accompanied by incorrect or incomplete work will not receive full credit. Good Luck! 1. For each of the following equations: (i) Identify the name of the surface. (it) If appropriate, find the vertex or saddle point. Gii) If the graph has an axis, indicate the direction of that axis. (iv) Match it with a sketch (sketches are not necessarily oriented with respect to the usual placement of x, y, and z axes). (It is not necessary to show work for this question. But if you get the question wrong, some work might be worth partial credit.} (3 pAty (a) 20? — By2-24+2=0 —~—> 2x*-3y* > 2-2 ; . . Les) (b) (we +2)? — ay? — (2-12 =O a ead) Nye + CRAY > Cee) =n C3pts) (c) 30243227 =27 =) yy eres (2pts) (a) 32? + y? +422 =1 (8) &) (2) @ > hygerbote parabeterd (id Ce,o,2) Gav % (is elliptic cone (RY (7h OY) Gud Y para ivy oO ro k-axig GV) V