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MINIMIZING TRAVEL TIME A woman is on a lake in a row boat located 1 mi from the closest point P of a straight shoreline (see the accompanying figure). She wishes to get to point Q, 10 mi along the shore from P, by rowing to a point R between P and Q and then walking the rest of the distance. If she can row at a speed of 2 mph and walk at a speed of 3 mph, how should she pick the point R in order to get to Q as quickly as possible? How much time does she require?
Find the future value of an annuity if you invest $3,050 semiannually for 4 years at 6.5% compounded semiannually.
The cost of ordering a shipment of tires is $400, and the cost of storing each tire for a year is $2. Determine how many tires should be in each shipment if the ordering and storage costs are to be minimized. (Assume that each shipment arrives jus..
Jon is a traveling salesman for a pharmaceutical company. His territory includes 5 cities and he needs to find the least expensive route to the cities and home. Starting at city A, determine the optimal route using nearest neighborhood method.
What percentile should be reported for a student who scores 650 on the GMAT.
Test car A is traveling at a rate of 146 . Test car B is traveling at a rate of 93 . Which car is moving at the faster rate?
Using the tables, find the Laplace Transforms: (a) f(t) = 2 -t^3/6+ cos(2t) - e^(3t)
the temperature at the pool was 65 degrees F at 6:00 a.m. write an expression to name the tempertaure at 5:00 p.m. after it rose 7 degrees.
Find the radius of convergence and interval of convergence for n=1Σ∞xn/√n. Find the radius of convergence and interval of convergence for n=1Σ∞(x - 2)n / (n2 + 1).
In Hawaii it rains .642 of the days it rains for at least 5 minutes, what is the probability of it raining today?
How fast is the volume increasing at this moment, assuming that the diameter is always equal to the height, and the height is increasing at a rate of 1cm/min
Fit a second order Newton's interpolating polynomial to estimate log 10 using the data x=8, 9, and 11. Complete the true percentage relative error.
1. In the 2000 U.S. Census, a small city had a population of 50.000. By the 2010, the population had reached 74,012. If the population grows by the same percent each year, when will the population reach 100,000?
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