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calculas 3 test 2 a(4)

calculas 3 test 2 a(4) - r 5 1 7'2 r β β2 My βmm/~2...

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Unformatted text preview: . r 5 /. 1 7 '2 r - β/ ' β2 ,. My βmm/~2- β /' / 4Β» - 7, ~ "15β2 _ - '2 n .. .1, I" β (f, ,_ j! Math 2326 Test2 , , 7β ./ " :39 '_ / _ 4, Q . ,7 . g l , -..._w.. Β« β ' \. '- β ' - β , Jβ _. Last Name [ ο¬ ( of} f L, β _ I 1. I, V _ ., (L \ , ,. 4" .1 V A}? β . '1" "n .1 7/ / r β β~ ,/ First Name :3 OfH _ 7.. ,L . , L Use the correct scanu'on form to record your selection. β4: βhβΒ» , β/ 7 __ ,/ ~ On questions (l)β(3) use the given functions, F(t)= tzi+cos(t)j+t3lr, 6(1)=ti+costj+sintk,.H(t)=(12βl)i+tk, and f(!)=2!2-2!+3. I (1) Which of the following vector functions is not smooth on (β l, l)? [/7 ,5, 2,073 (a) F β_ (hm β [7/5' = 5795 (c) H " (d) f H (e) none of the above (2) The unit tangent vector of 60) at the point corresponding to t is 4 .f (ayiο¬sin: ) j + (cost) k. > I t I 1 . - I , (b)72=(x+(-smt)f+(cost)k ). .. (c)-β/'β3(i+(sint)j+(cost)k). .p (CD/iii- (-sin I) j + (cos t)k. (e) none of the above (3) The length of the are from the points of the graph of H(t) = (12 β 1) i + 1k corresponding to t = 0 and to t = l is , (a)fflV(4t2-l)2+ldt. < 2β7) )7 βI , A Β» 2- Aβ o '1β ' β .V ." r, I βr β (b) fix/(2th l)2 dt. gJ . o . (c)fl\/(Zt)2+ 12 dt. 0 I (d) f (20%β. 0 "II c) none be above kh) ...
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