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2)14. While testing a new simulation algorithm you discover that 500 data records completes in 24.99 seconds. You double the number of records and the same test takes 100.001 seconds. Your boss asks you to run a large simulation for a client with 10000 records. Assuming you can start the simulation within the next hour how long will it take to complete if the algorithm is O(h^m) and m must be a whole number.3)16. The condition number for a dense matrix is 97. How many digits of precision are expected to be lost when inverting the matrix? If four digits of precision are needed for the solution is it acceptable to use single precision 32 bit IEEE floating point arithmetic?

17. You are working with a vendor provided solver program. The precision of the solver is a function of input value h and error the error is . A test run with known solution shows the computed result has an error of 8.e-005. When you cut the value of h in half the computed error is 1.e-005. Determine the order of precision for the solver program by finding m in the expression .