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[email protected] MTH16_MTE1_Review.pptx 1 Bruce Mayer, PE Mathematics 16: Applied Calculus-II Bruce Mayer, PE Licensed Electrical & Mechanical Engineer [email protected] MTH 16 Final Exam Review-B
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Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

Feb 22, 2016

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MTH 16. Final Exam Review-B. Bruce Mayer, PE Licensed Electrical & Mechanical Engineer [email protected]. Student Reference Sheet. - PowerPoint PPT Presentation
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Page 1: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx1

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Bruce Mayer, PELicensed Electrical & Mechanical Engineer

[email protected]

MTH 16

FinalExam

Review-B

Page 2: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx2

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Student Reference Sheet

Student Reference SHEET = A 8½"x11" sheet of Paper upon which the student may write ANYTHING that he/she thinks might help him/her do better on the Final Exam

Page 3: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx3

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

MQ FER1b

Find for ODE

For Initial Condition (I.C.)

SOLUTION• Recognize as ODE• Separate-Variables & Integrate• US I.C. to evaluate Constant

of Integration

Page 4: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx4

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 5: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx5

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

MQ FER1b

Page 6: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx6

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

MQ FER1b by MuPAD

AntiDerivative of R.H.S. • u:= int(7*cos(2*PI*t) - 5, t)

   Solve the ODE 

• Rode := ode({R'(t) = (7*cos(2*PI*t) - 5)*R(t), R(0) = 1300}, R(t))

• Roft := solve(Rode)

Page 7: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx7

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

P11RE-2 HistoGram

Page 8: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx8

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 9: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx9

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

P11RE-9 PDF

Page 10: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx10

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 11: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx11

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 12: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx12

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Solve ODE by Euler

Page 13: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx13

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 14: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx14

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 15: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx15

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 16: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx16

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 17: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx17

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

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[email protected] • MTH16_MTE1_Review.pptx18

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

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[email protected] • MTH16_MTE1_Review.pptx19

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 20: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx20

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

Page 21: Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege

[email protected] • MTH16_MTE1_Review.pptx21

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

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[email protected] • MTH16_MTE1_Review.pptx22

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

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[email protected] • MTH16_MTE1_Review.pptx23

Bruce Mayer, PE Mathematics 16: Applied Calculus-II

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[email protected] • MTH16_MTE1_Review.pptx24

Bruce Mayer, PE Mathematics 16: Applied Calculus-II