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Practice Test 1

# Practice Test 1 - Math 2401 Midterm II[1 The intensity of...

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Unformatted text preview: Math 2401# Midterm II [1] The intensity of heat in a neighborhood of a hive of the is sitting):is given by a function of the form hm) =A—2m2—y2 Pael -where the queen (a) and the Bath followed by‘ a heat—seeking bee that originates at the center of the neigh— brohood. LX : ._ qX/// A : -Qa\/ V J H L ath 240 —- Midterm II . [2] (a) kpla'in why Mt’hgmaximum of 3x — 2g + 2 on the sphere 3:2 + y2 + 22 = 14 exists. %€?vg+ybA ”/50 a 3x 5. 2/0 “SH/“x" "1;? ax aid % (A MM! (”nag/47624.6) 1 5((14/ DQQVILVR-ﬁk 0“ Jl/4/4X’7l WKT A, did) %, 7h? W/// & Witch}: (CQcﬁﬂh’tkA’ t5 4/ MM(%(‘P’{(& ere’ rd, 4-1ws ox WM wow ': Regal/H #3}; \$5 < Oe ’ Th 9w» :14;sz Mat MN 1;. M m :4 or C fwd/w. [balm/0” MW Km x hwy} ”/A/M MV/ ammmﬁv m: . .Wﬂf’l’ﬂ) a If ’H’US = 6/ W11 AC~ 5a 70 ' (”HA A<O/ “ .r‘ W VS” 0“ WiﬂM~ ; >4 0 A“ Quarter AA\$W> ﬁat: Cb) “" A/Sd/ WW dam/i CM 9M3 iju‘tW <5“; ﬁr 3.1%? [it :32 Msg 04 ‘9‘? Sgt/wt W433? M Maw: .33” 45‘: ﬂﬁ-Xamm, ' A (b) Maximize 355 ~— 23/ + 2 on the sphere \$2 + y2 + 22 = 14. Find the exact value of the ¥X35 £13.; a; C22;\ 3x: 2K 5:7; 2:7 52 .5 2% 3: :2». a: ma be». 3%: 3N3 ‘Qx :. 3&3 raj: “ch K: :g ’32: 3%? 9:13‘7? ‘3: “92— 2: “a (3 )2 .5, .. 3 J l ’6- 4‘ 4 "g "1;: W/ by Lil b 4 0‘; V ( > . + a. e » re! a?” 3;. ”'7’“ : i : WV .95 \j 9 7, x3. \/3 Z i) {x 3 (3) -D(.~;L) +) 2: 747+} : W: WWW M (3) ,1/ O Math ‘2401—1Midterm 'II ' . Page 3 4/, [3] Compute the area of the ﬁrstquadrant region bounded by my 2 2, y =_ 1 and y = :c + 1. ‘j’a/x_ ' 3—34 "3:"! x39" \f—KH ch'l X+l:( xc’O ’? ' M‘a'th 2401+ Midterm II - [4] Find the maximum and minimum valuepf the function f (x, y) = 1:2 + 2mg + 3y2 in the region la:| g 2, lg] g 2. ’ ﬂ: :—J\T‘ +15“ # —2 92 (I +«cg4;2=aﬁv HQ): J 0 #4254)! «3L? 4/ + , s2 + r; = ‘34“:va ‘ CAM: My? :0 {2% aﬁﬁlrrfj n8 3 3"” ...
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Practice Test 1 - Math 2401 Midterm II[1 The intensity of...

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