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A grain silo consists of a cylindrical concrete tower with a hemispherical metal dome on top. The metal in the dome costs 1.5 times as much as the concrete (per unit of surface area). If the volume of the silo is 750 m3, what are the dimensions of the silo (radius and height of cylindrical tower) that minimize the cost of the material? Assume the silo has no floor and no flat ceiling under the dome.
Verify stokes theorem
The measure of five angles of a hexagon are 137, 147, 103, 90, 118. What is the measure of the sixth angle?
The shortlist consists of 7 men and 3 women. Because all the shortlisted applicants are considered to be equally qualified, the names of two of them are drawnn, one after the other at random, to be called for an interview.
Find the absolute change and the percentage change in the following case. The population of a country increased from 99 million in 1990 to 259 million in 2010.
During the worst periods of hyperinflation in a certain country the price of food increased at a rate of 25% per month. State whether this increase was linear or exponential
Explaining how to derive the formula for the distance between two points -Prepare an essay of 1,000 words explaining how to derive the formula for the distance between two points in analytic geometry 3-space.
To start a business, Tom borrowed $20,000, part at 16% annual interest rate and part at 15%. If the total amount of interest on both loans is $3120, how much did he borrow at 16%?
Complete the square and sketch a graph of the following ellipse. Give the coordinates of the centre and the four vertices. What is the length of the major axis?
Decompose 6i-3j-6k into vectors parallel and perpendicular to following vectors.
Recall that if z=x+iy then, x=(z + zbar)/2 and y=(z-zbar)/2. By formally applying the chain rule in calculus to a function F(x,y) of two real variables, derive the expression
Given an algebraic series with the following properties:
Probability: High Risk Apartments. In a local town, there are three separate apartment blocks, A, B and C. Block A contains 10 apartments, of which two contain "High Risk" inhabitants.
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