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A farmer has 80m length of fencing. He wants to use it to form three sides of a rectangular enclosure against an existing fence which provides the fourth side. Find the maximum area that he can enclose and give its dimensions.
For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v^3. It is believed that migrating fish try to minimize the total energy required to swim a fixed distance.
Health Care is 7%, Clothing is 6%, and Miscellaneous is 11%. To the nearest dollar, how much will be spent to provide housing for the child?
Using the second derivative or otherwise, distinquish the maximum and minimu points of the curve.
Inside a semicircular tunnel of diameter 24 feet, a vertical support beam is placed 5 feet from the side of the tunnel. How tall is the beam?
Find the score that marks the top 5 percent
Use the definition of the derivative to find the derivatives of the following functions: Use the definition of the derivative to write out the derivative of h(x) where h(x)=f(x) + g(x). Can you rearrange the terms to write this in terms of the deri..
The combined math and verbal SAT scores for female college students are normally distributed with a mean of 998 and a standard deviation of 200.
How fast is the radian measure of the angle between the ladder and the ground changing at the moment when the bottom of the ladder is 12 feet away from the wall?
Which of the properties: reflexive, antisymmetric and transitive are true for the given relation? Begin your discussion by defining each term in general first and then show how the definition relates to this specific example.
Use taylor series expansion to find the given variables.
A poster is to have an area of 180 in2 with 2 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area?
A hemispherical bowl of radius 5 cm is filled with water to within 3 cm of the top. Find the volume of water in the bowl.
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