ha (lvh262) – Homework 14,2 – karakurt – (56295) 1This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page – find all choicesbefore answering.001 10.0 pointsSuppose that lim(x,y)→(4,6)f(x, y) = 3.What is the value of f (4, 6) if f is continu-ous?1. 72. 43. 64. 3 correct5. 9Explanation:002 10.0 pointsFind lim(x,y)→(5,−1)x5+ 3x3y − 4xy2.1. 2730 correct2. 27103. 34804. 35205. 2770Explanation:003 10.0 pointsFind lim(x,y)→(16,4)xy cos(x − 4y) .1. 02. 64 correct3. −164. 45. 16Explanation:004 10.0 pointsFind lim(x,y)→(0,0)4xy2x2+ y2, if it exists.1. 0 correct2. The limit does not exist.3. 44. 25. 8Explanation:005 10.0 pointsFind lim(x,y)→(0,0)4x2+ y2px2+ y2+ 4 − 2, if it ex-ists.1. 16 correct2. 43. 84. The limit does not exist.5. 0Explanation:006 10.0 pointsFind lim(x,y)→(0,0)5xy4x2+ y8, if it exists.ha (lvh262) – Homework 14,2 – karakurt – (56295) 21. 2.52. 53. 04. The limit does not exist. correct5. 10Explanation:007 10.0 pointsFind lim(x,y,z)→(0,0,0)xy + 2yz2+ 6xz2x2+ y2+ z4, if itexists.1. 82. 23. The limit does not exist. correct4. 05. 6Explanation:008 10.0 pointsDetermine the set of points at which thefunctionf(x, y, z) =xyz6x2+ 7y2− zis continuous.1.n(x, y, z)|z 6= 6x2+ 7y2, xyz > 0o2.n(x, y, z)|xyz > 0o3.n(x, y, z)|z 6= 6x2+ 7y2ocorrect4.n(x, y, z)|z 6= 6x2+ 7y2, xyz < 0o5.n(x, y, z)|z 6= −6x2−
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