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151 Q5 2.3-2.4 07

# 151 Q5 2.3-2.4 07 - MATH151 Mrs BonnyTighe 1 QAIZ 5 Narras...

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MATH 151 QAIZ 5 Narras Mrs. Bonny Tighe 2.2.2.3 25 points SECTION_ Fnday 10/12/07 1 Diflerentiats using tle formulas not the definition. a) .f(x)= 3x'-zr+)-s b) sO= 3-t' x " " ) r - t c) y:2xJi + Ji + d) f(x)= (x'-4x+5)(2x2 +5) 2. Find f" (r)for -f(x) : ,li where g(r) = 3 and g,(t)= s, ands,, (1) = _2. 3. Give the units for the derivative, c'(r) ofthe function c(t) wherec represents the amount of chemical present in an object,in grams at time , minutes. 3 x-lx

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4. Find the equation of the tangent line to the curve /(x) = y2 +2x +3 atx: I 5. Find a second-degree polynomial of the form ax2 + bx + c such that -f(0)=2, f'(0)=3 and f"(0)=1 6. Find the velocity and acceleration of a particle with position firnction s(t) = 2t3 - 3tz +4t-5 meters attimet= 2 seconds. 7. Find a general formula for the n th derivative, (r) ,for the function f @ =1. L
MATH 15I QUIZ 5A NAME Mrs' Borurv righe 2sTr:: sECrroN- Fnday 10/12/07 l . Differentiate using the formulas not the definition. ^ 4 ' t t ' 2 a) f(x): 3x3 -4x+1-5 b) s0= '.'' x - ' t ' - l c) y:2x'1Ji + sJi + J G d) .f(x)= (x'-4x+5)(2xa +3) 2. Find f"(r)for f(i: [email protected]),where g(r)=2and s'(t)=3, ands,,(1)=-1.

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151 Q5 2.3-2.4 07 - MATH151 Mrs BonnyTighe 1 QAIZ 5 Narras...

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