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Unformatted text preview: ~Part A ~Part B ~Total ~ ~ 20 ~ 30 ~ 50 ~ ~ \G 11 3D ~ llG II ~~c / o Part A (20 marks). :NIarkthe correct answer. ax + by + cz = 2 r i l 1t x+bcy = : i \ \ ~ v ex + (a + b)xy = xzc (a) is linear i P { ~ y~ z}and linear in {a,b }; (b) is linea r in{x,y,z} and linear in {b,c}; (c) is nonlinear in {x,y,z} and linear in {a,b}; (d) is nonlinear in {x,y,z} and linear in {b,c}; ® none of the above . (a) has exactly one solution for all a; (b) has infinitely many solutions regardless what a is; V @ has a unique solution if a = j:. ±4; (d) has a unique solution if a =4; ~ (e) none of the above. t \ ~ : I ( ' J ~ ~ ~~~ ~ , 1 J i AM 14 1 1aTes t 1 October 8, 2009 3 3. Consider the electr i cal network below , with numb e rs being flow r a tes . Which equation represents the junction rule for this system? (a)25+i3=i4+5; X ~ b) i3 + i4 +i5 = 0; ~ (c) i4 +i2is =0; (d)il+iS+i2=S; ) ® none of the above....
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 Winter '11
 Elementary algebra, Kirchhoff's circuit laws, Kirchhoff, infinitely many solutions

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