Questions asked by Clement W.

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• 2. Find the first 3 terms of the Taylor series for 𝑓(𝑥) = sin 𝜋𝑥 centered at 𝑎 = 0.5. Use your answer to find an approximate value to 𝑠𝑖𝑛 (𝜋/2+𝜋/10). How to do?
  
• Given that point A, B, C, E are (0,0,6), (-1,-7,11), (-8,-6,6) and (15,-20,6). BD is horizontal and parallel to AE. Find a vector equation of the line BD. Given that the length of BD is 15 metres, find the coordinates of D. How to do?
  
• If the threshold frequency in the photoelectric effect decreases when the emitting metal is changed to a different metal, what can you say about the work functions of the two metals?
  
• A radioactive isotope #""_Z^XA# decay and emits one alpha particle and two beta particles consecutively. How to write the formula for the nuclides produced?