Weiss_Quiz_4_Fall_2005

Weiss_Quiz_4_Fall_2005 - --I 4.) If a ball is thrown...

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C5L ~ ' C.s(. . C. 0t 5.tL::: >a- ~'" l.. cot .> - cst 1.) Differentiate each function. a.) fjJ) ~5 + 3t~+_\ l~~~3 H\ C Quiz 4 Calculus I (Sections 3.1-3.5) Name 5kvt:- Simplify each derivative. b.) y = ~ l+x >+"J>-/. . - 'Ji- (1I~~);3 -C?:/.~ (/+-'l-)J. .. C ( I 2.) Find the equation of the tangent line to the curve f(x) = 7- at x = 9. ~ ~x w~ J... \ .~ . 1'4. ("1-'1.)-0'--+ 221:, 1- ~ {3j. . =- -- , --'fT . -~ .' - ~ ~ y== 3.f. 1- b -- 2- o == )., r~ 3.) If f(x) = eX g(x), where g(O) = 2 and g/(O) = 5, find f'(O). ~ Y. I -I- X:_l::>' - y? e. (j'/·)-l-jf:t-.)e ,F'eD)==- D/ - . e"'C~'(i) / 5t-JU 7e'l. .: )t'-----~
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Unformatted text preview: --I 4.) If a ball is thrown vertically ~ward with a velocity of 80 ftls, then its height after t seconds is h=80t-16t2 )'''-)2.'-~~'I' voo Ib').5 5~c~:0 a.) What is the maximum height reached by the ball? /-,'0 7~-3H 1F!V ./"'3 ~l.~)-I,~~b.) What is the velocity of the ball when it is 96 ft above the ground on its way up? On L~L.r its way down? J.ro-'Q. . S .w v oJ 3-; ..----'fo-"--~...
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