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two trains were traveling in opposite directions moving away from one another one train was moving at 5 miles per hour the other train was moving at
1 a given a digraph g ve prove that if we add a constant k to the length of every arc coming out from the root node r the shortest path tree
demonstrate that dijkstras algorithm does not necessarily work if some of the costs are negative by finding a digraph with negative costs but no
1 let g ve be a graph for which all nodes have degree 5 and where g is 5-edge is connecteda show that the vector x which is indexed by the edges
1 a drainage system overflows into a river causing pollution when the rainfall falling in an hour exceeds 50 mm during any given year the maximum
1 the lifetime t in days of an electrical component has reliability function given by rt e-001t for time t gt 0 an electrical system consists of
1 suppose the arrival times of phone calls in a help centre follow a poisson process with rate 20 per hour so the inter-arrival times are independent
1 a point pab becomes 3c after reflection in x - axis and d6 after reflection in the origin show that a 3 b - 6 c 6 d 22 if the pair of lines
1 find the slope and the y-intercept of the line whose equation is 5x 6y 72 find the equation of the line that is parallel to 2x 5y 7 and passes
1derive algebraically the 2nd order simpsons rule integration formula using 3 equally spaced sample points f0f1f2 with an increment of h2 using
how do i find the diameter of a circle if i have the shaded sectors area of 26376 and the central angle of that circle is 210
a local police precinct has seen a recent enhance in the number of complaints filed regarding how officers are interacting with the public before
a professor is interested in decisive if attending college influences the level at which an individual cooperates with the police the professor is
consider the following set of preference lists
suppose research on three major cell phones companies revealed the following transition matrix for the probability that a person with one cell phone
a farmer grows apples on her 600 acre farm and must cope with occasional infestations of worms if she refrains from using pesticides she can get a
sketch the feasible region for the following set of constraints 3y - 2x ge 0 y 8x le 53 y - 2x le 2 x ge 3 then find the
the curve y12 x2 passes by the points 1 0 and - 1 0 does rolles theorem clarify the conclusion that dy dx vanishes for some value of x in the
the region bounded by ye-x and the x-axis among x 0 and x 1 is revolved around the x-axis determine the volume and surface area of this solid of
an aeroplane is flying at a specific height of 5 km and at a velocity of 450 kmhr a camera on the ground is pointed towards the plane at an angle
trace the curve y2 x 22 x - 6 clearly state all the properties you have used for tracing iteg symmetry about the axes symmetry about the origin
an automobile manufacturer needs to build a data warehouse to store and analyze data about repairs of vehicles among other information the date of
new england university maintains a data warehouse that stores information about students courses and instructors members of the universitys board of
according to a gallup poll 51 of us women prefer to have a job outside of the homewhat is the chance that a survey of 200 women would find that 45 or
your factory has a machine for drilling holes in a sheet metal part the mean diameter of the hole is 10mm with a standard deviation of 01mmwhat