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Question: DESIGNING A GRAIN SILO A grain silo has the shape of a right circular cylinder surmounted by a hemisphere (see the accompanying figure). If the silo is to have a capacity of 504p ft3 , find the radius and height of the silo that requires the least amount of material to construct. Hint: The volume of the silo is Πr2h + (2/3)Πr3, and the surface area (including the floor) is Π(3r2 + 2rh).
The following table shows the height of a tree as it ages. In Excel, plot each point on the same graph where the first coordinate is the age of the tree and the second coordinate is the height of the tree
Sketch the graph of the curve C (Indicate the initial and terminal points and the direction of the trace).
A particle is moving along the curve y= x3. Find the points on the curve at which the y-coordinate is changing 3 times as fast as the x-coordinate
A witness to a hit-and-run accident tells the police that the license plate of the car in the accident, which contains three letters followed by three digits, starts with the letters AS and contains both the digits 1 and 2. How many different lice..
Whether or not you win the contract. Put a 1 in the win/lose cell if you win and a 0 in the win/lose ell if you lose.
In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 4% of the suburban population moves into the city.
What is the rate of change of the unit price when the quantity demanded is 10,000 units (x = 10)? What is the unit price at that level of demand?
Pool tables are rectangular, and their length is twice the width. Find the dimensions of a pool table if it occupies 18 ft2 of floor space.
at the ACE security company, each ID badge has 3 letters which appear consecutively and alphabetically in order, followed by 3 digits from 1 through 7 with no repitition and in any order. How many different ID badges are possible?
$100,000 is invested in a 6.5% interest-bearing certificate compounded semi-annually. Find the amount of money in the account at 0, 4, 8 and 10 years.
What is the answer to the range of f(x) = ax + b is the set of all real numbers given that a and b are real numbers and which produces a counter example to her statement
Show that there exist a non zero continuous linear functional on l infinty which is zero on the space c0. Why such a functional is not an element of l1?
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