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(a) A farmer has a field bordering a straight river. He wants to design a rectangular plot for an organic crop with the river acting as a natural border. If 400 feet of fencing will be used on the three other sides, what should the dimensions of the plot be if its area is to be maximized?
(b) What are the dimensions if the river side is also to be fenced?
Derive the statement as corollaries of other theorems from the text or of statement you have proved true in the exercise.
How many edges does an n-cube have? Give your reason. How many (main) diagonals does a 4-dim cube have? Are any two of them perpendicular to each other?
A drug company is measuring levels of oxygenation in patients after receiving a test medication. As the researcher, you are interested in whether Group I, which received the medication, has the same oxygenation levels as Group II
what is the average velocity of the car between t = 0 and t = 40 seconds? what is the velocity of the car at t = 40 seconds? what is the distance traveled from t = 0 to t = 40 seconds?
A skeptical classmate says: "Global strategy is relevant for top executives such as CEOs in large companies. I am just a lowly student who will struggle to gain an entry-level job, probably in a small company.
Find the area of the region bounded by the parabola y = 5x2, the tangent line to this parabola at (1, 5), and the x-axis.
The remaining three sides are to be enclosed with a protective fence. If there are 12 km of fence available, find the dimension of the rectangle to maximize the area of the sanctuary.
question solve the following system of linear equations3x 4y z 012x 13y 3z -217x 15y 3z -5which one of the
Find the particular solution to be differential equation dy/dx = xy + x which satisfies y=3 when x=0.
Sample midterm 2 questions. Find the radius of convergence of the series n=0∑∞xn/n√n, n=0∑∞4nx2n+1
question define quadrilateral and rectangle.assume that abcd is a convex quadrilateral. show that in absolute geometry
Describe some practical applications for fractions in your daily life and some challenges that you have experienced regarding the use of fractions.
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