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Exponential Functions

Maths Online. Exponential Functions. Why study graphs of exponential functions?. Maths Online. Radioactive Decay. Radioactive substance is dangerous because it decays and emits harmful radiation Radioactive substance will decay to half its mass over a period of time

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Exponential Functions

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  1. Maths Online Exponential Functions Why study graphs of exponential functions?

  2. Maths Online Radioactive Decay • Radioactive substance is dangerous because it decays and emits harmful radiation • Radioactive substance will decay to half its mass over a period of time • This period of time is called the half-life of the radioactive substance

  3. or Maths Online Radioactive Decay Amount left is given by y=y0e-t where decay constant =ln 2/half-life

  4. Maths Online Moore’s Law • Dr. Gordan Moore is the co-founder of Intel • Moore’s Law was formulated in 1965 • No. of transistors in a silicon chip doubles every 2 years • 1965 - 240 transistors • Pentium 4 (2000) - 42 million transistors

  5. or Maths Online Moore’s Law

  6. Maths Online Moore’s Law • 1965 - 240 transistors • Pentium 4 (2000) - 42 million transistors • Moore’s Law: • 240 x 2 0.5 t = 240 x 217.5 = 44 millions

  7. Maths Online Conclusion • We use exponential graphs whenever something increases or decreases by 2 (or any factor) over the sameintervals of time

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