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Find the time required for an investment of 5000 dollars to grow to 7100 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Find the equation of the tangent plane to the ellipsoid 7x2 + 5y2 + 3z2 = 60 which pass through the line 5y - 3z = 0 = 7x + 10y - 30.
The number of rabbits in a forest varies with time. During the period of 1980 to 1990 the number is given approximately by the formula where t is the number of years after 1980. (a) Sketch on graph paper the population during 1980-1990
Determine the number of points in the sample space of the possible arrangements of boys and girls.
A fire detection sensor is tested for its failure rate and found to have a mean failure rate of 3.6E-2 per hour of exposure with a standard deviation of
How many revolutions will a car wheel of diameter 32 inches make as the car travels a distance of eight miles? (Round your answer to the nearest whole number.)
Let f be continuous on the closed interval [a,b] and differentiable on the open interval (a,b). Also, suppose that f(a) = f(b) and that c is a real number in the interval such that f'(c) = 0.
A metal storage tank with a mximum volume of 1200 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
A company wishes to manufacture a box with a volume of 36 square feet that is open on the top and is twice as long as it is wide. Find the dimensions of the box produced from the minimal amount of the material.
Find an equation for the trend line using the method of least squares.
What is the farmer's breakeven point in units (pounds) under the old system? What is the farmer's breakeven point in dollars?
A piece of wire is 38 inches long. The wire is cut into two pieces and each is bent to form a square. Find the length of each piece if three times the area of the larger square exceeds the area of the smaller square by 95.75 square inches.
Calculate the multifactor productivity for this operation in fees generated per dollar of input.
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