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Betweenness in taxicab geometry. Let A = (0,0) B = (1,0) and C = (1,1) and let k denote the taxicab metric.
(a) Find all points P such that k(A,P)+ k(P,B) = k(A,B) Draw a sketch in the cartesian plane.
(b)Find all points P such that k(A,P)+k(P,C)= k(A,C)Draw a sketch in the cartesian plane.
Consider a Lagrangian system, with configuration space R^n, given by (x^1, ... x^n); and Lagrangian L(x', ..., x^n; v^1, ... v^n). Now consider a new system of coordinates, (y^1,... ^n),
Evaluate the value of x for which the power series converges - determine whether or not it converges at the endpoints of that interval.
Simon does not complete his homework, Both Simon and Hannah complete their homework
Suppose there are 90 small towns in a country. From each town there is a direct bus route to at least 50 towns. Is it possible to go from one town to any other town by bus possibly changing from one bus and then taking another bus to another town?
Setup a network Flow for this Problem using nodes and links but do not solve for optimal solution, A manufacturer must produce a certain product in sufficient quantity to meet contracted sales in the next four months
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Let f:R->R be a function that satisfies f(x+y) = f(x)+f(y) for all x,y in R. Suppose that f is continuous on R and that f(1)=k. Prove that f(x)=kx for all x in R.
For what value of the parameter b will the following system of equations fail to have a unique solution?
Suppose that a pair of 20-sided dice are rolled (the sides are numbered 1-20). What is the probability that the sum of the dice is 13?
One-half serving of soy sauce contains 389 milligrams of sodium. How many grams of sodium from soy sauce are included in an egg-foo-young dish made from 4 serving of soy sauce? Round result to the nearest tenth of a gram.
If three parts are selected at random from the bin, what is the probability that exactly two are defective? I am having trouble understanding the correct equation
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