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The volume of a cone is given by
V=π/3 x r2 x h
where the radius of the base r and height h are both functions of time. Suppose when r = 5m,h = 10m and the height is decreasing by 5 m/s, you are told that the volume is increasing by 8π m3/s. How fast is the radius of the base changing?
Using the polynomial f(x) = x4 - x3 -x2 - x - 2 , we can also view f as an element of Z[x] , let F be an algebraically closed field containing Z3, how many distinct zeros does f have in F?
a rectangular prism has the dimensions of 4 by 6 by x. If the total surfacea area of the prism is 248 square units, what is the value of x?
Government economists in a certain country have determined that the demand equation for soybeans. Determine the corresponding error in the predicted price per bushel of soybeans.
Find the derivation of ex ln(x2) + 4-x. Find the slop of the curve 2(x+y)2/3 = y at the point (4, 4). Find the second derivative y'' of x2 + y2 = 10
write an exponential fuction of the form y=ab^x that has a graph through the given points (-2,2/25)(1,10)
A lottery has one 2000.00 prize, two 1000.00 prizes and ten 500.00 prizes. Two thousand tickets are sold at 5.00 each. Find the expectation is a person buys two tickets?
The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of the unit price p that it charges. The revenue R is given by the following function.
What are the rate and minimum distance for this code?
Let A be the area of a circle with radius r that is increasing in size with respect to time. If the rate of change of the area is 12 cm/s, find the rate of change of the radius when the radius is 18cm.
A box has a bottom with one edge 6 times as long as the other. If the box has no top and the volume is fixed at V, what dimensions minimize the surface area?
Let A and B be subsets of a universal set U and suppose n(U) = 360, n(A) = 140, n(B) = 70, and n(A B) = 40. Find the number of elements in the set.
A poster is to have an area of 160 in2 with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area?
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