151 Exam IIA 07

151 Exam IIA 07 - vl MATHlsl Mrs Bonny Tighe EXAM IIA Part...

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v l MATH lsl EXAM IIA Part I Name Mrs. Bonny Tighe 50 points Section Fn rc126/07 I . Use the position function .s(t) = -cos2 t + er + 400 meters, and find the velocrty and acceleration at time t= 1sec. 2. Use t}le Limit Definition for a derivative t f (x + h) - f (x) to find the derivatives h-+0 h of the followine: a) s6)= "1t1. c) J\x)= 2-x'
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3. Use the given gaphof f(x) to sketch a graph of f '(x). b) 4. Find the equation of the tangent line to the curve at the given point. a) /(x)=tan-r(i) atx:f b) ,'y' = 2 at x=l
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5. Differentiate. a) ,h(x) = ssslsin(tan Ji)) b) f(x)=(3" - cosh;r)a c) ft(x) = lt"" '' d) y=sin(ln(e'+1))
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MATH 151 EXAM IIA Part II Name Mrs. Bonny Tighe 60 points Section Fn rc/26/07 1. Find the following limits: a) .. tan2x r-+0 X c ) l i m ; = . ,--sin(*) b) ft(x) = (ln(sin x) + %)"' D) li- tR. = - r-+o 1 - cosr I sin 2r at nm-= ' r-+o sin 5/ 2. Use logarithmic differentiation to find the derivative for each of the followine: ffr*zt'JY+r) a) g\x) =l ------= , ^ | ( sec z.r )
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3. a) Find a general formula for the b) Find the 95s derivative for the n" derivative, f(') (*) , for the function function ,f(x) = cos5x h(x) =t11P* *11 ' 4. Find the derivative ofthe expression for an unspecified differentiable fimction f(x).
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