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MAT016A Quiz 6 SS1-08 Key Kouba

# MAT016A Quiz 6 SS1-08 Key Kouba - Math 16A(Summer 2808...

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Unformatted text preview: Math 16A (Summer 2808) Kouba Quiz 6 I ‘ t " ‘ 8.1118 ’ ., , L - inn-o:-wuw-umulch-r”uwrunwvwoun—unqmww—nwwgn—mvawmm ......... ; “mam“. Exam ID # : mm”, ..... d7 1.) (10 pts. each) Assume that y is a function of a: . Find 3/ 2 a; . 8,.) (52:93 + 5:23 2-: y 2" XX-W’ZJWM‘faPSH/V’ ,_,, 3X27ayl~yll ~5’«2xy5) ——\$ j'(3x"y°1_,,]: ~5’—— My? 3 'ﬁ y’: ”3:325: b.) sin(a:y) = tanx + 94 L m] ny’Hn/yj: 441.2% 41y3y’ -——» may/«7% CoQijj-j:/.w€zx+qy3y’ a XmCKYJ-7’~ 473/ : M’zK-ymW) ——-a j|(x may]- 4‘73] : M6329) Cd'QCXY) ( W ——» j : Awéw)- 4y? [Q 2.) Assume that my + y2 = \$2 + 4 . a.) (6 pts.) Find the slope of the graph of this equation at the point .1: == 0, y = 2 . L xy‘J— OU+ ayy’: ——7 Quay/y”: XX‘)’ l~- wa><~j Wag X:O/ —-5 y _, X+a7 /: .2 "—3 R02‘1 ,1 / JLoVE mu) 2 “12(91):: b.) (6 pts.) Determine if the graph of this equation is concave up or concave down at Ethepointcvzf), 31:2 3.) (10 pts, each) Consider the given right triangle. If a: is increasing at the rate of 2 ft./1nin. and y is decreasing at the rate of 1 ft./min., then ﬁnd the following related rates when :1: 2 4 ft. and y z 3 ft. a.) The rate at which its AREA is changing A y ' . d X - J“ .. . L01: xl4~7L~—‘r LZVX'Z'FYZ x L 33., : %®&+yv ...
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MAT016A Quiz 6 SS1-08 Key Kouba - Math 16A(Summer 2808...

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