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quiz5_sol

# quiz5_sol - MATH 174 Quiz 5 Tuesday Mar 1 Name[3:in Section...

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Unformatted text preview: MATH 174 Quiz 5 Tuesday Mar 1 Name: [3:in Section: PID: Solve the problem systematically and neatly and show all your work. 1.(2pts) Use the formula for implicit differentiation to ﬁnd 3% if may —— sin(:cy) + x2 —- 2y 2 5. MC» [3W 3): 906% «WW3 +>¢ ,, lfj ~ls’ 0‘81 FX ol >6 ' [:7 1 u _ (9w 2.(2pts) Let w = my + y2 — 2, 11: = no and y = 5’ use chain rule to evaluate ~53)— at (2, ~2—) 2w A ._ J4. a'xttl’ V 9%) 2..“ :2): wawii - ﬂ‘a + ag‘ak/ ,YL’. X W (A v’~r 7/” av ‘ w -: + " / _.. 53 J V 3 Mun-Jr (mu—r 3&1)(” Vb) V 3.35. — UL &V - 2‘“) L __.. 2 2‘. av .1 (N (pairinilVl/lJVGC “’57 ’ " v‘“ v L 0) ﬁnd the normal line of the surface f (33,31, 7:) = 55234326 at P0(1,1,1). = - . s t e » ’- i 3’ 1<3L><,)Cy,f;3=<2l‘73; 98712) éxye) 4L ...
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