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farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be so as to minimize the cost of the fence?
Set up different integrals to find the mass of the solid bounded by the equations z=8-2x, z=0, y=0, y=3 and x=0. the density of the solid at (x,y,z) is d(x,y,z)=kx, k>0. evaluate ONE of the integrals.
Write an equation and solve: Each month an employee has $75 invested in a stock investment plan. This amounts to 5 percent of the employee's monthly salary. Find the monthly salary.
A cooler at a picnic contains 100 cans of soda covered by ice. There are 30 cans of cola, 40 cans of orange soda, 10 cans of ginger ale
Where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semi-skilled person. Find values of x and y that minimize the labor charge. Find the minimum labor charge.
In planning for a major redesign, Beth collected data at her store on several consecutive Saturday mornings. She noticed that customers arrived at the checkout at a rate of approximately 100 per hour. Fully 20 percent of the customers had 10 items..
What is the mathematical model for the total profit earned by producing and selling x units ? What is the optimal solution for this production model?
determine whether the average amount of time spent watching television per week has decreased. Formulate the null and alternative hypotheses for the study described.
Why is it true that any two points satisfying a linear equation will give you the same graph for the line represented by the equation?
A bullet of mass 0.04 kg travelling at 300 m/s hits a fixed wooden block and penetrates a distance of 4cm. Find the average resistance of the wood.
a farmer purchases 730 feet of fencing to enclose a rectangular garden. If the length of the garden is 5 feet more than 3 times the width. what is the dimensions of the garden?
Let R be the region bounded by the graphs of: y = x - sinx, y = pi and x = 0. Use a double integral to calculate the area of the region R
Find all Hamilton paths going from node A to node F, find the lengths of each of the Hamilton paths from node A to node F.
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