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The first question on the prelim(4 points) Write your name and section number on your paper.There will be three word problems(not counting this one)Equation of the tangent line1/31/3Find the equation of the tangent line to ( )at 216. Use the tangent line to estimate(225)Give the answer to four decimal placesf xxx==000()'()()yf xfxxx=+−1/32/320001/31/3( )'( )(1/3)216 ()6 '()1/(3 6 )1/1086(216)/10891(225)666.083310812(225)exp((1/3)ln(225))6.0822f xxfxxxf xfxyx−=====⋅==+−≈+=+===Monkeyface prickelback/ 42.516(1) inches0.01poundsFind /tLeWLdWdt−=−=/ 42.51.5/ 4/ 41.5/ 4/ 41.5/ 416(1) 0.01/0.025/(16)(1/ 4)/0.025[16(1)]40.64(1)ttttttLeWLdWdLLdL dtedWdteeee−−−−−−=−====−=−dWdWdLdtdLdt=⋅Solution 2/ 42.5/ 42.5/ 41.5/ 4/ 41.5/ 416(1) inches0.01poundsFind /( )0.01(16(1))'( )0.01(2.5)(16(1))(4)0.64(1)ttttttLeWLdWdtW teWteeee−−−−−−=−==−=−=−
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