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a farmer wants to fence off land along a river into five equal areas by using on section of fence parallel to the river and six sections perpendicular to it. what should the dimensions be to maximize the total area using 1200 feet of fence? (assume that the river is straight and that no fence is required along the river).
Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
Use Euler's method to determine the first three approximations to the given initial value problem and Each sample problem has three solutions with an initial point, moving over delta x and moving over by delta x again.
Find the product of all the three zero of the second polynomial
What Increase in the objective function coefficients in this model would change the optimal solution point? Explain your answer.
A textbook store sold a combined total of 348 chemistry and math textbooks in a week. The number of chemistry textbooks sold was three times the number of math textbooks sold. How many textbooks of each type were sold?
Explore and find a real-world application of a quadratic equation, whether it is from the realm of physics, finance, or anything else. Write a paragraph about what you find. In your description,
The sum of 3 consecutive ODD integers is 189. What is the first integer? (Be sure to type only the first integer in the answer blank. Do not use any variables or words.)
A biologist took a count of the number of migrating geese in a state park and recounted the park's population of geese for each of the next six weeks.
To determine the number of deer in a game preserve, a forest ranger catches 230 deer, tags them,& release them. Later 146 deer are caught, and it is found that 21 are tagged. Estimate how many in the game or preserve.
Give an example of an exponential function. Find this exponential function's inverse, which will be a logarithmic function. Plot the graph of both the functions.
Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is USD 25,000, and its variable cost per pound of fertilizer is USD 0.15. Evergreen sells the fertilizer for USD 0.40 per pound. Calculate the monthly break even volum..
Let n be a natural number, and let f: R-->R be the function f(x) :=x^n. Show that f is differentiable on R and f '(x)=nx^n-1 for all x belonging to R
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