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A school had a very unusual tradition involving its 1000 students and its 1000 lockers. On opening day, after the head of the school had closed all the lockers, a student walked by and opened every single one. A second student then closed every second one (#2, 4, 6, 8 etc). A third student then changed every third locker (#3,6,9,12 etc), that is, she opened the ones that were closed and closed the ones that were open. A fourth student then changed every fourth locker, after which a fifth student changed every fifth locker , and so on until all 1000 students had passed by all 1000 lockers. At the end of this strange activity, which lockers were open?
a computer store helps models of a computer m1m2m3m4. each model can be fitted with 3 sizes of hard drive ab and cwhat
Determine if the function is even, odd, or neither. Compare the graph of the given quadratic function f with the graph of y = x2.
Set up the equation to solve the equation.
A science workbook is one centimeter thick and weighs 75 grams. How much will a one meter high stack of these workbooks weigh, in kilograms? Give your answer as a decimal to the nearest tenth.
find an equation of the line having the specified slope and containing the indicated point. write your answer in
In general, it is hard to say anything useful about m(x) using the error term on an nth degree interpolating polynomial. However, if we are free to select the points xk freely we can select an optimal (Chebyshev) placement of the points, xk= cos((..
Solve the following linear programming problems graphically: Maximize profit = 4X + 6Y, Minimize cost = 24X + 15Y.
Verify that the function f(x) = e^-2x satisfies the hypothesis of mean value theorem on the interval [0, 3] and find all the number c that satisfy the conclusion of the mean value theorem.
A firm pays $1.75 for each copy of a magazine and sells each one for $2.50. There is a fixed monthly cost of $40 for printing the publication. If the firm wants to make $550 dollars next month, how many magazines do they have to sell
A University has a telephone system in which extension numbers are three digits long with no repeated digits and no 0's. The university has 492 telephones at present and is planning to add another 35 in the near future.
Find the exact area under the graph of f(x) = x2 - 2x + 2 on the interval [-1 , 2] using limits with a right sum. Correct notation is crucial.
find the percent of change. where necessary round to the nearest percent. describe the percent of change as a percent
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