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1. Use mathematical induction to prove whenever n is a positive integer. 2. Use loop invariant to prove that the program for computing the sum of 1,...,n is correct.
Hypergeometric Distribution Consider the previous example of the batch of light bulbs. Suppose the Bernoulli experiment is repeated without replacement. That is, once a bulb is
Monotonic, Upper bound and lower bound Given any sequence {a n } we have the following terminology: 1. We call or denote the sequence increasing if a n n+1 for every n.
the sides of a quad taken at random are x+3y-7=0 x-2y-5=0 3x+2y-7=0 7x-y+17=0 obtain the equation of the diagonals
Prisoners Dilemma This is a type of non-zero sum game and derives its name from the given story: The district attorney has two bank robbers in separate cells and offers them
Peter was 60 inches tall on his thirteenth birthday. By the time he turned 15, his height had increased 15%. How tall was Peter when he turned 15? Find 15% of 60 inches and add
3 2/3 - 1/6
(x+y+1)dy/dx=1
What is Plotting Points? To "plot" or "graph" values means to find points on a number line. The numbers four, negative two, negative three, zero, two, and negative four are bei
Volumes of Solids of Revolution / Method of Cylinders In the previous section we started looking at determine volumes of solids of revolution. In this section we took cross se
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