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You are designing a rectangular poster to contain 128 in2 of printing with a 4 inch margin at the top and bottom and a 2 inch margin at each side. What overall dimensions will minimize the amount of paper used?
Describe and give examples of the three methods for solving a system of equations.
You have just graduated from LUMS with a very respectable CGPA and are now applying for jobs. Suppose you have 10 copies of your CV, each customized for a particular job description.
Evaluate the matrix of transformation
There is a difficult question on my assignment regarding the Mandelbrot set. It asks for me to develop a general rule for the set of c values that will be part of the set.
The Jacksons plan a 3-Week trip with a budget of $600 for renting a car. Car rental rates are $135/week plus $0.17/km. Write a formula to show the number of kilometers the Jacksons can travel.
What explains grade inflation? Students at almost all colleges and universities get higher grades than was the case 10 or 20 years ago.
A tank initially contains 10 gallons of brine in which 3 pounds of salt are dissolved. A brine containing 2 lb/gal of salt runs into the tank at the rate of 2 gal/min. The mixture is well stirred and ows out of the tank at the rate of 1 gal/min.
Gavin and Seiji both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25 more than Seiji. How much did each of them earn?
Prove that there exists only one 4-regular maximal planar graph.
The marginal cost function
Jamie and Alice Newmark have a combined monthly gross income of $9,702 and monthly expenses totaling $2,811. They plan to buy a home with a mortgage whose monthly PITI will be $2,002.
a rancher is fencing off a rectangular area with a fixed perimeter of 76. What dimensions would yield the maximum area?
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