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Question: The area of a given rectangular plate is a given value, but its dimensions are not given. One may make a cuboid without a side out of this plate by cutting four equal squares from the four corners of the plate, and bending the four resulting edges. For what dimensions of the plate one would obtain the maximum volume of the cuboid? What is the value of this maximum?
A straight line moves in such a way that the sum of the reciprocals of the intercepts of the axes is equal to 1/k , where k is a constant. Prove that the line will pass through a fixed point.
What do you feel are the advantages of using graphs to show the relationships between variables? Give examples that demonstrate your opinions.
1. After rolling the frsrt ball of a frame in a game of 10 -pin bowling, how many many different pin confingurations can remain. 2. Assuming that what is wanted is to seat 7 people in a row with 7 chairs. In how many ways can we seat these 7 people..
1 .what results in your departments seem to be correlated or related to other activities? how could you verify this?
a bacteria culture grows according to the formula n t -4t2 40t 25 where n is the number of bacteria after t minutes
A truck burns fuel at the rate (gallons per hr) of G(x) = 1/33(64/x+x/49) while traveling at x mph. If fuel costs $1.18 per gallon, find the speed that minimizes total cost for a 200-mile trip.
The power supply P (in W) in a satellite is P = 100e-0.005t, where t is measured in days.
Determine which of the following passages are arguments. For those that are, identify the conclusion. For those that are not, determine the kind of non-argument.- Any unit of length, when cubed, becomes a unit of volume.
Two tanks with equal volumes are shown below.The tops are open.The owner wants to cover one tank with a glass top.The cost of glass is $0.05 per square inch.Which tank would be less expensive to cover
Find the cost of the shortest length of carpet.
how many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?
How can you find the number of possible outcomes of a playoff between two teams where the first team that wins four games wins the playoff?
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