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A holding pen for fish is to be made in the form of a rectangular solid with a square base and open top. The base will be slate that costs $4 per square foot and the sides will be glass that costs $5 per square foot. If the volume of the tank must be 50 cubic feet, what dimensions will minimize the cost of construction?
What is the annual compound interest rate for an investment modeled by the function y=12*1.18x?
Find the equation of the line normal to the curve of y= 2 cos (1/2)x, where x=pi. Write the expression using x as a variable. Write the exact answer in terms of pi.
Evaluate the following double integral by using polar coordinates. I = ∫∫D 1 - x2 - y2 dA, where the region D is the quarter unit disc x2 + y2 ≤1 in the first quadrant.
Sketch the region R and calculate its area. Calculate the volume of the solid of revolution obtained by rotating the region R around the vertical line
the state income tax on your business is 820 plus 0.08 times your profit. you made a profit of 64860 last year. find
Let G be finite abelian group with this property: For each positive integer m such that m | |G|, there are exactly m elements in G with order dividing m. Prove that G is cyclic.
the load a beam with a rectangular cross section can support is jointly proportional to the beam's width and the square of its depth and inversely proportional to its length one beam is half as wide twice as long
1. Copy the worksheet data to a new worksheet called Sort. Sort the employee list in ascending order by department, then lastname, then firstname.
What is the expected number of claims made by males under 25? What is the standard deviation of the distribution?
one canned juice is 25% orange juice another is 5% orange juice. How many liters of each should be mixed together in order to get 20L that is 23% orange juice.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
Air pressure decreases at a rate of 3 Pa (pascals) per kilometer in the eastward direction. Estimate the time rate of change of air pressure on the island. (pascal is a unit of air pressure 1Pa=1N/m2=1kg/m · s2)
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