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# Note for MATH 1431 with Professor George at UH

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This 3 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 16 views.

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Date Created: 02/06/15
Math 1431 Exam 3 Review 1 Find the critical numbers offand classify the extreme values given X Er31 x x f x2 4 2 Find all local extreme and intervals ofincreasing and decreasing for the following functions a fx x3 76x2 h fx sinxcosx forOSxSZz 3 Each ofthe graphs below are graphs off Determine wheref is increasing decreasing intervals of concave up and concave down List all local maximum and minimums and points ofin ection 4 The value Xa is a critical numlJer forfX Classify a as a local maximum local minimum or neither a frt3 712x214 1 3 h x 7x x377x27x4x1 f 4 2 5 Evaluate a a i felt 3d d 3 2 b d1 34 x 122152 1 r C ix 3 2amp6 5 Gwen the graph omx Wlththe area ofreglon Ate equalto 73 reglon 5 la 343 and raglan c ls 73 Fmd a The area ofthe regon bounded by x and the xraxls between 72 and l b Ifxa39x 2 7 Canslderthe functlon fx3x 720x3 422 r36x onthelntewal 04 a Showthatthe crltlcal numbers off are 1 and 3 b leethe mtervalis ofmcrease and decrease of f c lee the valuels ofx at whlchf has elther a local mmlmum or a local maximum d Give the values of X at which f has an absolute minimum or an absolute maximum e Give the intervals where the graph off is concave up f Give the intervals where the graph offis concave down g Give the values of X where the graph of f has in ection h Plot f 8 Graph a functionfwhich has a cusp at X 1 a vertical tangent line at X 2 a horizontal asymptote of3 and vertical asymptotes atX 2 and X 3 9 List the domain critical numbers intervals ofincrease intervals of decrease in ection points intervals of concave up and intervals of concave down for the function given Then graph the function and carefully label any local maXimums local minimums or points ofin ection fx 2x3 3xZ 12x 3 10 Given fx x2 2 xe 12 using P10 12 sketch the graph draw the rectangles and find Lf P and Uf P Also be able to work word problems from section 45 Skills review at end of chapter 4 58 59 602 64 65 76

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