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A cylinder is to be constructed so that it will have a minimum surface area while holding 128 pi cubic feet of gasoline. Determine the necessary dimmensions. Be sure to verify your answers indeed guarantee that a minimization has been accomplished.
Construct a tree diagram to represent this sitution. List the sample space. Determine the exact probability of creating a min license plate with a J. solution should be in reduce fraction form
Find the mean particulate levels in the city center.
Choose the largest subset for cover, and then remove all its elements from universal set. Repeat by adding subset consisting of largest number of uncovered elements until all is covered.
Evaluate the maximum revenue using cost and revenue function.
For the function below, find a) the critical numbers, b) the open intervals where the function is increasing, and c) the open intervals where the function is decreasing.
The measures of the angles of a triangle are in the ratio of 2:3:4. What is the measure of the smallest angle? Each side of a rhombus measures 10 inches. If one diagonal of the rhombus is 12 inches long, what is the length of the other diagonal?
The curve intersects the horizontal line at a particular discount rate. What is this discount rate at which the graph intersects the horizontal axis?
Consider the following elements of the vector space P3 of all polynomials of degree less than or equal to 3. p(x)= x-1, q(x)=x+x2, r(x)= 1+x2-x3
I want to be earning an annual salary of $100,000 when I retire in 15 years. I have been offered a job that guarantees an annual salary increase of 4% per year, and the starting salary is negotiable. What is the lowest salary that I should request..
At a certain factory, approximately q(t) = t^2 + 50t units are manufactured during the first t hours of a production run, and the total cost of manufacturing q units is C(q) = 0.1q^2 + 10q + 400 dollars.
The equation of tangent line.
Discuss the factors which might cause variation
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