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Two motorcycles travel toward each other from cities that are about 665 km apart at rates of 110 km/hr and 80 km/hr. They started at the same time. In how many hours will they meet?
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
Determine the type I and type II error
Prove that the set of interior points of a set A is equal to the union of open sets O, such the O is a subset of A
A box with a square base has length plus girth of 114 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2000 in3?
Illustrate each of them with examples. Determine whether the following vectors in R3(R) are linearly dependent or linearly independent.
A rectangular piece of metal is 10 cm longer than it is wide. Squares with sides 2 cm long are cut from the four corners of the piece of metal, and the flaps are folded upward to form an open box. If the volume of the box is 832 cm3, what were the..
Describe an application for the use of ratios or proportions and how it could be useful in your daily life?
A particle is moving along the curve y= 2 sqrt{4 x + 4}. As the particle passes through the point (3, 8), its x-coordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this i..
State whether each of the following fractions is a terminating or repeating decimal. If the decimal terminates, state the number of decimal places and show how you decided.
Perform six iterations and find absolute approximate error with exact solution. Also solve this system by Gauss elimination method with partial pivoting in order to get exact solution.
Let m and n be positive integers with n dividing m. Prove that the natural surjective ring projection Z/mZ ->Z/nZ is also surjective on the units:(Z/mZ)^x ->(Z/nZ)^x
A poster is to have a total area of 584 square inches with 4-inch margins at the bottom and top and a 3-inch margin at each side. What dimensions of a poster will give the largest printed area?
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