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Mathematics Dictionary
Dr. K. G. Shih

Figures


  • Q01 | - F201 : y = (x-1)*(x-2)*(x-3)
  • Q02 | - F202 : y = (x - 1)/(x + 1)
  • Q03 | - F203 : y = (x^2 - 1)/(x^2 + 1)
  • Q04 | - F204 : y = (x^3 - 1)/(x^3 + 1)
  • Q05 | - F205 : y = (x^3 + 1)/(x^3 - 1)
  • Q06 | - F206 : y = x + 1/x
  • Q07 | - F207 : y = x^2 + 1/x
  • Q08 | - F208 : y = x^3 + 1/x
  • Q09 | - F209 : y = (x - 1)^2/(2*x)
  • Q10 | - F210 : y = (x - 1)^3/(2*x)
  • Q11 | - F211 : y = (x - 1)^4/(2*x)
  • Q12 | - F210 : y = x^2 - 6*x + 8
  • Q13 | - F213 : y = cubic function
  • Q14 | - Construct parabola by geometrical method
  • Q15 | - F210 : dA = (r^2)*dr*cos(U)*dU*dV
  • Q16 | - F210 : y = sin(x)
  • Q17 | - F217 : y = x^3/(x^2 - 1)
  • Q18 | - F218 : y = x^4/(x^2 - 1)
  • Q19 | - F219 : y = (2*x^2)/(x^2 - 1)
  • Q20 | - F220 : y = x^7 + ...
  • Q21 | - F221 : e^x + e^(2*x) + e^y + e^(2*y) = 12
  • Q22 | - F222 : y = e^x and y = ln(x)
  • Q23 | - F223 : y = x^2 -6*x + 8 and its inverse
  • Q24 | - F224 : Abs(x^2 - 6*Abs(x) + 8) = 0.5
  • Q22 | - F222 :

  • Answers


    Q01. Figure 201 : y = (x-1)*(x-2)*(x-3)


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    Q02. Figure 202 : y = (x - 1)/(x + 1)


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    Q03. Figure 203 : y = (x^2 - 1)/(x^2 + 1)


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    Q04. Figure 204 : y = (x^3 - 1)/(x^3 + 1)


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    Q05. Figure 205 : y = (x^3 + 1)/(x^3 - 1)


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    Q06. Figure 206 : y = x + 1/x


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    Q07. Figure 207 : y = x^2 + 1/x


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    Q08. Figure 208 : y = x^3 + 1/x


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    Q09. Figure 209 : y = (x - 1)^2/(2*x)

    Reference
    • CA 27 09

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    Q10. Figure 210 : y = (x - 1)^3/(2*x)

    Reference
    • CA 27 10

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    Q11. Figure 211 : y = (x - 1)^4/(2*x)

    Reference
    • Ca 27 11

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    Q12. Figure 212 : y = x^2 - 6*x + 8

    Reference
    • CA 27 13

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    Q13. Figure 213 : y = cubic functions

    Reference
    • CA 27 13

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    Q14. Figure 214 : Sketch parabola geometrically

    Reference
    • CA 27 14

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    Q15. Figure 215 : dA = (r^2)*cos(U)*dU*dV

    Reference
    • CA 27 15

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    Q16. Figure 216 : y = sin(x)

    Reference
    • CA 27 16

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    Q17. Figure 217 : y = (x^3)/(x^2 - 1)

    Reference
    • CA 27 17

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    Q18. Figure 218 : y = (x^4)/(x^2 - 1)

    Reference
    • CA 27 18

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    Q19. Figure 219 : y = (x^4)/(x^2 - 1)

    Reference
    • CA 02 12

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    Q20. Figure 220 : y = x^7 + ...

    Reference
    • AL 21 08

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    Q21. Figure 221 : e^x + e^(2*x) + e^y + e^(2*y) = 12

    Reference
    • AL 06 12

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    Q22. Figure 222 : y = e^x and y = ln(x)

    Reference
    • AL 06 08

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    Q23. Figure 223 : y = x^2 - 6*x + 8 and its inverse

    Reference
    • AL 05
    Demo diagrams : See GC (Graphic Calculator)

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    Q24. Figure 234 : y = (x^4)/(x^2 - 1)

    Reference
    • AL 05

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    Copyright © Dr. K. G. Shih, Nova Scotia, Canada.

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