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A street light is mounted at the top of a 11 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 40 ft from the base of the pole?
For each of the following vector spaces, give its dimension and a basis. The set of all symmetric 4 x 4 matrices,
Explain Working with half life of a radioactive material, If a sample has a mass of 200 mg find a function describing the mass that remains after t days
Discuss the concept of the derivative of a function.
a plane is heading due west with an airspeed of 306 mph. A wind with a bearing 340 is blowing at 12 mph find the speed and true course of the plane (in bearings)
Identifying local maximum, local minimum.
A trip plan involves the selection of a location, ski area, and a time.How many possible plans are there?
f(x)= the square root of x^2+1 and [0,4] . Use the midpoint rule with 4 rectangles to approximate the area bounded by f(x) and the x axis.
Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
How many hours of production time will be scheduled in each department?
Assume that the i component of the derivative of a vector function r(t) is 0 for all t in the domain of the function. What does this imply about the graph of r?
A baker has 25 pounds of wheat and 5 pounds of sugar. To bake each loaf of bread, the baker needs to use 1.3 pounds of wheat and 0.5 pound of sugar
The length of the diagonal of a rectangular billboard.
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