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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 1 Bruce Mayer, PE Mathematics 16: Applied Calculus-II Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege.edu MTH 16 MidTerm Exam-1 Review
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 2 Bruce Mayer, PE Mathematics 16: Applied Calculus-II Student Reference Card Student Reference CARD = A 3"x5" Flash-Card upon which the student may write ANYTHING that he/she thinks might help him/her do better on the MidTerm Exam
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 3 Bruce Mayer, PE Mathematics 16: Applied Calculus-II Improper Integral Determine the Value (a number) of J as defined by the Improper Integral Below
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 4 Bruce Mayer, PE Mathematics 16: Applied Calculus-II
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 5 Bruce Mayer, PE Mathematics 16: Applied Calculus-II
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 6 Bruce Mayer, PE Mathematics 16: Applied Calculus-II IJ = 7/((z^2+2*z+1)*sqrt(z^2+2*z- 8)) JJ:=int(7/((z^2+2*z+1)*sqrt(z^2+2* z-8)),z) J:=int(7/((z^2+2*z+1)*sqrt(z^2+2*z -8)), z=2..infinity)
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 7 Bruce Mayer, PE Mathematics 16: Applied Calculus-II Adding Integrals
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 8 Bruce Mayer, PE Mathematics 16: Applied Calculus-II Adding Integrals
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 9 Bruce Mayer, PE Mathematics 16: Applied Calculus-II Cobb-Douglas Model The Cobb-Douglas Model for the Chabot Motor Company Where –P ≡ Vehicle Production in k- Vehicles per Year –L ≡ Labor Costs in $M/year –K ≡ Capital Costs in $M/year In Calendar Year 2013 CMC Produced 7525 k-Vehicles Spent $25 800M on Labor
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 10 Bruce Mayer, PE Mathematics 16: Applied Calculus-II Cobb-Douglas Model CMC plans to Increase Production by 1% in 2014 If there is NO additional Capital, How much added Labor, ΔL, is required? If there is NO additional Labor, How much added Capital, ΔK, is required? Chabot Motor Company
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 11 Bruce Mayer, PE Mathematics 16: Applied Calculus-II
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 12 Bruce Mayer, PE Mathematics 16: Applied Calculus-II
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 13 Bruce Mayer, PE Mathematics 16: Applied Calculus-II
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 14 Bruce Mayer, PE Mathematics 16: Applied Calculus-II Chabot Motor Co. P := 7525; a := 0.532; L := 25800; u := 0.456; v := 0.544; K := (P/(a*L^u))^(1/v) dPdL := a*K^v*u*L^(u-1) dPdK := a*L^u*v*K^(v-1) DL := 0.01*P/dPdL DK := 0.01*P/dPdK
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 15 Bruce Mayer, PE Mathematics 16: Applied Calculus-II 2 nd Partials Test FIND For This Function Relative Max or Min Saddle Points
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 16 Bruce Mayer, PE Mathematics 16: Applied Calculus-II
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 17 Bruce Mayer, PE Mathematics 16: Applied Calculus-II
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 18 Bruce Mayer, PE Mathematics 16: Applied Calculus-II
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BMayer@ChabotCollege.edu MTH16_MTE1_Review.pptx 19 Bruce Mayer, PE Mathematics 16: Applied Calculus-II 2 nd Partials Test See Also MuPAD File: 3D_Plot_Max_Min_MTE1_Review_BM ayer_1402.mn
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