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A woman at a point A on the shore of a circular lake with radius 2 mi wants to arrive at the point C diametrically opposite A on the other side of the lake in the shortest possible time. She can walk at the rate of 4 mi/h and row a boat at 2 mi/h. How should she proceed?
What is the area of the polygon given below?
A rectangular swimming pool 60 ft long, 10 ft wide, and 12 ft deep is filled with water to a depth of 11 ft. Use an integral to find the work required to pump all the water out over the top. (Take as the density of water delta = 62.4 hbox{lb/ft}^3..
Examples of Probability and Statistics in Real Life, Can you think of situations in the business world or other real life situations where you would need to calculate or estimate probabilities?
Given the vector field F=3yi + (5-2x)j + ((z^2)-2)k find the surface integral of the normal component of curl F over the open hemispherical surface (x^2)+(y^2)+(z^2)=4 above the xy plane
Find the average rate of change of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.)
A flu epidemic hits a large city. Each resident of the city is either sick, well, or a carrier. The proportion of people in each of these categories by age is given by the matrix:
R is bounded below by the x-axis and above by the curve y=2cosx, 0
Aproximately what percentage of household incomes in this state is betwee $27,000 to $63,000/year? Show all work as to how this is obtaines.
what is the number of fish? six months what is the total number of fish? One year after,what are the total number of fish. Round to the nearest whole number.
At a certain factory, it s determined that an output Q unit is expected when L worker-hours of labor are employed where Q(L) = 3100√L
the number of coins that Josh spots when walking to work is a poisson rv with mean 6. Each coin is equally to be a penny, a nickel, a dime, or a quarter. Josh ignores the pennies but picks up the other coins.
A 140 in. piece of wire is divided into two pieces and each piece is bent into a square. How should this be done in order to minimize the sum of the areas of the two squares?
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