4.3 Class Notes - Final exam Monday May 14 9-11:30 in Baker...

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Final exam Monday May 149-11:30 in Baker 200AnnouncementsNow on the course pageFinal exam formula sheet - 2 pages, write onthe back of each if you want.Practice problems and their solutionsNo HWK #10. You count the best 8 out of 9,which becomes 60/200 points on the final.Linear approximation00001/3( )()'()()Use this fact with=512 to find anapproximation of (500)f xf xfxxxx+Solution()0001/32/30001/3( )()'()()( )'( )(1/3)11=512()8'()3 64115008( 12)819216f xf xfxxxf xxfxxxf xfx+====+⋅ −=f(x) = x1/37.87.988.18.2475500525550Why is the curve so flat?1/32/35/35( )(512)811'( )'(512)3192221''( )''(512)99 8''(512)0cso curve isoncaveand hence lief xxffxxffxxff===== −= −<s below tangent line
Building a fenceA man is going to build a five foot tall fencedin enclosure for his dog. One side will bethe side of his house. If he has A squarefeet of fence what is the largest area hecan enclose?yxOptimal fence2Fencing needed = 510so(5 ) /105Maximize1010Derivative =0when/10,/ 2010Second derivative =10

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Term
Spring
Professor
DURRETT
Tags
Calculus, Derivative, Mathematical analysis

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