Key42010 - Math 16A(Summer 2010 Kouba‘ Quiz 4 PRINT...

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Unformatted text preview: Math 16A (Summer 2010) Kouba‘ Quiz 4 PRINT Name : ________ __K E Y Exam ID # : __________ __ 1.) (5 pts. each) Use shortcut rules to find the derivatives of each function. Do not simplify answers. a.) y = :1: tanrc L yr: imam +0/-mx b.) f(.7:) : (7m _ 4)3/2 ( [£1 2‘7 43(6): %<7X—‘l)- 7 3 f.) g(a:)=ta.n3(sec(:133)) j Ly/M) M) X3 ) D ~= 3‘99: 3M7mg<vfm2gmé<w . ' 2 3.) (5 pts. each) a.) Assume that f(:1.t) = :1:3(a;— )2. Solve f’(:1:) : 0 for 2‘7 496/ : X3. RQC—S')+ 3x1Cx—5'j'K : x1315) . [ax + 3(3<—5)j: x*@<-5j C5X~ ls] : o ——-7 X23 x: 6; >03 1).) Assume that = 4 sin :1: — .772. Solve f”(:y) : 0 for (1:, O S :L‘ g 271'. 99$ “918]: <4 WK ~a’Zx Isms «(MK—~54 :o 4.) Assume that a calculus textbook is projected straight up at 96 feet per second from the top of a building 128 feet high. (3 pts.) Write an equation for the height 8(t) (feet) of the textbook above the ground at time t seconds. 56:): wash M— + (A8 b.) (2 pts.) What is the height of the textbook when t : 2 seconds 7 t = 6 seconds 7 3(3) : —zeL<4]+ teetij (518 : 0256 We 3&9] : '19 (3(0) + Crag/+1718 2 1M4» . c.) (5 pts.) W7 hen does the textbook reach its highest point and; how high is it ‘? 9511:3263 ‘Q" S(&7:"3;¢‘E+‘ié :0a 4:: 3 M. M 6L3):—Icze)w<oc3/+'aé’= Wolf“ / 3 ...
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