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Billy likes to go cycling. His bike has wheels of a diameter 75. He has invented a counter for his bike, which counts the revolutions the wheel makes. One day the counter shows 370 revolutions. How far has billy cycled?
Find all Hamilton paths going from node A to node F, find the lengths of each of the Hamilton paths from node A to node F.
An aquarium has a slate bottom that costs 8 cents/sq inch and glass sides which cost 1 cent/sq inch. The aquarium is to have a volume of 1024 cubic inches.
Find a vector equation for the line through the point P = (-4, -1, 1) and parallel to the vector v = (1, 4, 3).
If A and B are subsets of a group G, define AB = {ab | a 2 A, b 2 B}. Now suppose phi: G -> G0 is a homomorphism of groups and N = Ker(phi) is its kernel.
A satellite dish, is the shape of a parabola. Signals coming from a satellite strike the surface of the dish and are reflected to the focus where the receiver is located.
Starting with a hyperplane that does not separate the points, use the perceptron algorithm to find a separating hyperplane. Did the algorithm find the maximum margin separating hyperplane.
Evaluate the matrix of transformation
A trip plan involves the selection of a location, ski area, and a time.How many possible plans are there?
Calculate the mean of this sampling distribution
Find the derivative of the function by using quotient rule.
A particle is set in motion at time t=0 and moves to the right along the x-axis. (a) Suppose that its acceleration at time t is a=100e^(-1). Show that the particle moves infinitely far to the right along the x-axis.
If the marble selected is white, then what is the probability that a flip resulted in a head?
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