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1. Find the dimensions of the rectangle of maximum area that can be formed from a 70-in. piece of wire.
2. Find two positive real numbers such that the sum of the first number squared and the second number is 48 and their product is a maximum.
3. A poster of area 24,000 cm2 has blank margins of width 10 cm on the top and bottom and 6 cm on the sides. Find the dimensions that maximize the printed area.
one soccer field is an rectangle 375 feet long and 230 feet wide what is the area and perimeter of it. but what if the area of the soccer field in square yard? What is the perimeter in yards?
How would you test the reliability of your test? How would you assess the validity?
use the vertex (55,30) and the additional point (35,20) from the scatter diagram to find the equation of the parabola in standard form implied by the scatter diagram.
Find the slope of the tangent line to the graph of y= ln[x*e^x] at the point where x=3.
Please prove the following theorem: A system of linear equations has zero, one or infinitely many solutions; there are no other possibilities.
A man rows a boat 550 feet upstream against a constant current in 10 minutes. He then rows 325 feet downstream (with the same current) in 5 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
What is the value of the mean square for treatments (the "between groups" mean square) that would be reported in a ANOVA test?
suppose that the real wage increases. does the agent work more less or the same? explain
A 380 in. piece of wire is divided into two pieces and each piece is bent into a square. How should this be done in order to minimize the sum of the areas of the two squares?
A manufacturer of lightning fixtures has a daily production costs of C(x)=800-10x+0.25x^2 where C is the total cost (in dollars) and x is the number of units produced.How many fixtures should be produced each day to yield a minimum cost?
Determine the monthly break-even volume for the company. graphically illustrate the break-even volume for the evergreen fertilizer company.
Decide if f is one-to-one. One method is to graph it and cheek the horizontal line test. Determine the domain and range of f
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