151 Quiz 5 08

151 Quiz 5 08 - MATH I51 Mrs.BonnyTighe l. QAIZ 5 Narrlp

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MATH I51 QAIZ 5 Narrlp Mrs. Bonny Tighe 2.2,2.3 Z5points SECTION-.\4ond,ay3l7/0t l. Differentiate using the formulas not the definition. A a) f(x): 3x" -2+--;-5x d) f(x)= (x3 -4Ji +5)(2x') +5x) ., \,r, I z' c) y: +x-rJx +{x + ---F x{'r 2. Fnd f '(I)for +,where g(1)=2 and g'(t)=3 g(x) a\ ,,1 " 3. Give the units for the derivative, C'(r) 16f tne function C(t) where C represents the , amount of chemical present in an object, in grams at time I minutes.
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4. Find the equation of the tangent line to the cruve J \x) = \x + t)\x- + J.) ar x I 5. Find a third-degree polynomial ofthe form art +bx' +cx+d such that f(0)=2, f'(0):3, /"(0)=l and f"'(0)=2 6. Find the velocity and acceleration of a particle with position function s(t) 3t2 +4t-5 meters at tirme t:2 seconds. 7. Find a general formula for the n th derivative, f@) (r) , for the function /(r) = ';r !,, I {r
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MATH 151 Mrs. Bonny Tighe = IOX NAME 41n44/,r- SECTION Monday 3/7/08 1{')' >Y . (1.j/, -)d - & (1*)" (t-rY3->t) b+-t') ({-,) - 'f,) QUIZ 5 )) )7 25 points l. Differentiate using the formulas not the definition. ^4 a) f(x): 3x' -2+ , -5x = 3x'-L +\x--fx c) y: 4x'znli * {, -2: ,. 9. 'lr- -1"E t1 x +X +-\. .,9- I a' f\ =rq:V,St' 'al 1:ry++ >,n/,r''" 5,t-l-l_ -3 rW rs a !,r_.\ V -r, .I,) OX >{-v vw ^l 2. Find f'(t)for f(i= 1+,where
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This note was uploaded on 04/07/2008 for the course MATH 151 taught by Professor Tighe during the Spring '08 term at UMBC.

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151 Quiz 5 08 - MATH I51 Mrs.BonnyTighe l. QAIZ 5 Narrlp

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