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Question: a) Explain how backtracking can be used to find the way out of a maze, given a starting position and the exit position. Consider the maze divided into positions, where at each position the set of available moves includes one to four possibilities (up, down, right, left).
b) Find a path from the starting position marked by X to the exit in this maze.
A spanning forest of a graph G is a forest that contains every vertex of G such that two vertices are in the same tree of the forest when there is a path in G between these two vertices.
Gregory wants to build a garden in the shape of a isosceles triangle with one of the congruent sides equal to 12 yards. if the area of his garden will be 55 square yards
twenty minutes after being launched a hot-air balloon has risen to an altitude of 300 meters. the pilot can still see
find the approximate change in the amount of sulfur dioxide between 10 A.M. and noon
Write the mathematical formulation of the problem. Solve the problem graphically and explain the optimal allocation of investment fund to the two investments.
Your auto insurance policy has a $200 monthly premium and $700 deductible. What is the maximum amount you will have to pay out-of-pocket for a car accident before your insurance covers your costs?
How fast is the height of the water increasing when the water has filled 2 feet of the deep end?
First express your answers without computing modular exponentiations. Then use a computational aid to complete these computations.
how many cars in the lot aren t foreign and aren t red ?6-make a simple flowchart in which you purchase instant scratch -off lottery tickets one at a time .you stop when you purchase a winning ticket
A firm produces small and medium television sets. The profit is 400 for each small and 500 for each medium television set. Each television has to be processed.
Find the volume of the solid that is interior to both the sphere S: x2 + y2 + z2 = 4 and the cylinder C: x2 + y2 = 2x.
At 1:30 PM the northbound train continues north at 75 mph. How fast are the trains traveling away from one another at 4:00 PM? The distance between the trains is increasing at miles per hour.
Calculate the future value of an ordinary annuity consisting of quarterly payments of $1200 for 5 years, if the rate of interest is10% compounded quarterly for the first 2 years and 9% compounded quarterly for the last 3 years.
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