Iterating the algorithm of archimedes
Compute pi by iterating the algorithm of Archimedes given by Lemma 1. How many iterations are necessary to get five-decimal please accuaracy?
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Compute the internal rate of return for a project requiring an investment of $250,000, where the project promises to provide $85,000 in the first year, $70,000 in the second year, and $100,000 in the third.
Certain submarines are able of speeds in excess of 30 knots. Determine the total pressure sensed at the nose of submarine if the vessel is at periscope depth (5 m) and speed of 30 knots? (Suppose a constant sea-water density of 1030 kg/m3.) What h
There are ten members in Service Club. The club is to send two representatives to the State Conference. How many different manners are there to choose a group of four students to attend the conference?
Let f(x) = x^2 - 6 and p0 = 1. Use Newton's method to find p2. Now use Secant method and to find p3 with the missing value for p1 obtained in the previous calculation with Newton's method.
A destroyer spots submarine on the surface of water 4 miles away. The submarine dives and heads off in straight line. Assume the destroyer's maximum speed is 30 mph and the submarine has a top speed of 10 mph.
If the merchant deposits $1,500 annually at the end of each tax year in IRA account paying interest at the rate of 10% year compounded annually, how much will she have in her account at the end of 25 years? Round your answer to two decimal places.
Compute the amount of an ordinary annuity for 5 years of quarterly payments of $2,200 that earn interest at 4% per year compounded quarterly.
Find out whether the reasoning involved is an example of inductive or deductive reasoning:
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