Function, range and level curves | MATH 2224, Exams of Calculus

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NAME: Math 2224 Test1 Spring, 2011 instructions: You must justify all work and only use methods discussed in class, Calculators are not permitted. Write your name and your student TD number at the top of the page, and sign the pledge. I will neither give nor receive unauthorized assistance on this exam Signature: iss 1. Given the function f(x,y) = 1/./1 — x? — y?. a) Find the domain. woe ome option) bey SO se Te { — ; le pee te a Domtf) s [ume Res 47°21) b) Find the range. a og t-Ota)o es 0 Cf-cty?) 64 ¢) Find the level curves. Say what type of curves they are and sketch three of them for different valucs of c. le) ae. 2 ss ciecles ne = => + a “ieee af casing )-x PY ———-1 free 7, eS (4120 ey (1) = 19/0)