Questions asked by Maryam

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• If y/x= arctan(x/y), then dy/dx= ?
  
• 8 rooms are to be painted with 3 blue, 3 red, and 2 yellow paint tins.(each tin of paint can paint exactly one room and all rooms are identical in shape and size). In how many ways it can be done?
  
• How many ways are there to make 33 cents using any combination of pennies, nickels, and dimes?
  
• SUM the following series, with every other successive denominator in the bracket being greater than the previous one by "1" ?
  
• Sum the following up to infinity?