Math 49 (units 3&4) Map

Math 49 (units 3&4) Map

1. 3.1

   • Exponential growth & decay
     • F(x)=Ca^(x)
       • Exponential
         • C=Initial
           • a=growth rate
             • ^(x)=exponent
     • Y=Mx+b
       • Linear

2. 3.2

   • compounding interest
     • A=P(1+(r/n))^(n*t)
   • Compound Continuously
     • A=Pe^r(t)
   • APY
     • (1+(r/n)^n(t) -1

3. 3.3

   • Rate of change
     • f(x+1) - f(x)
   • % rate of change
     • r=a-1
   • Linear
     • Exponential

4. 3.4

5. 4.1

   • Log(a)X = y
     • logarithmical
   • a^(y) = X
     • exponential
   • Change of base

6. 4.2

   • Expand / compress log

7. 4.3

   • PH Scale
   • Decibel Scale
     • I(o) = 10^(12)
   • Richter Scale
     • M = Log(I/S)

8. 4.4

   • natural exponential function
     • Ln(x) = Log(e) X
       • e^(x) and Ln(x) are inverses
   • Nl Log function
     • f(x) = e^(x)

9. 4.5

   • Exponential
     • Convert 2 log
       • Divide 1st
         • Get exponets on same side
   • Logarithmic
     • Compress to exponent
       • Divide 1st

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