Answers edited by Max G.

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• How do you rationalize the denominator of #1/(sqrt(2)+sqrt(3)+sqrt(5))#?
  
• A parallelogram is determined by the vectors a = (-2,5) and b = (3,2). Determined the angles between the diagonals of the parallelogram?
  
• What is the period of #f(t) = 3(sin(t-pi/4)-4)#?
  
• How do you factor #a^4+2a^2b^2+b^8#?
  
• Question #771c5
  
• There are (n+1) white and (n+1) black balls each set numbered 1 to (n+1). The number of ways in which the balls can be arranged in a row so they the adjacent balls are of different colours is ?
  
• Let x be a binomial random variable with n=10 and p=0.2 In how many possible outcomes are there exactly 8 successes?
  
• How do you write #(4sqrt(3)-4i)^22# in the form of a+bi?
  
• Two opposite sides of a parallelogram have lengths of #8 #. If one corner of the parallelogram has an angle of #pi/8 # and the parallelogram's area is #12 #, how long are the other two sides?
  
• I know that it will be of the form #2C(x)=C(x/2)#, but I am still stuck to write the transformed function. Can anybody help?