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Mathematics Dictionary
Subject : Application of prgram ABH on internat
Keyword : Study slope of a curve
Read following questions before using Program ABH
    * Q1. Read Mathematical Symbols find symbol defintions

    * Q2. How to use the program ABH to find answer from graphs ?
      1. Click start
      2. Click a subject in upper box
      3. Click a program in lower box
      4. Click Back command and repeat step 3 or steps 2 and 3

    * Q3. How to run program 01 03 ?
      1. Start the program ABH
      2. Click Subject 01 in upper box
      3. Click program 03 in lower box

    * Q4. How to start the program ?
      1. Click Program ABH to start
      2. Select run at current location (Donot download)
      3. Select yes to run
Definition : Slope of y=F(x) is Limit[(F(x+h)-F(x))/h]

Q1. Prove that the slope of y=a*x^2+b*x+c is 2*a*x+b
A1. Procedures as below :
    * Limit[((a*(x+h)^2+b*(x+h)+c) - (a*x^2+b*x+c))/h]
    * = Limit[(2*a*x*h+h^2+b*h)/h]
    * = Limit[2*a*x + b + h]
    * = 2*a*x + b when h tends to zero

    * Start Program ABH Click here

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Reference


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