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Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

MTH 16. MidTerm Exam-1 Review. Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege.edu. Student Reference Card.

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Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

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  1. MTH 16 MidTermExam-1Review Bruce Mayer, PE Licensed Electrical & Mechanical EngineerBMayer@ChabotCollege.edu

  2. 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

  3. Improper Integral • Determine the Value (a number) of J as defined by the Improper Integral Below

  4. 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)

  5. Adding Integrals

  6. Adding Integrals

  7. 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

  8. 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

  9. 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

  10. 2nd Partials Test • FIND For This Function • Relative Max or Min • Saddle Points

  11. 2nd Partials Test • See Also MuPAD File:3D_Plot_Max_Min_MTE1_Review_BMayer_1402.mn

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