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A=(LP)/2-L^2, gives the area of a rectangle of perimeter P and length L. Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land. Choose any two lengths for a rectangle and find the corresponding area for each using the given equation. Include units and show all calculations. Which of the two lengths that you chose gives a larger area? What is the corresponding width of each of the two rectangles?
Write equations for the vertical and the horizontal lines passing through the point (-7,5) in (x,y)-coordinates.
This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.
Show the proportions that you could have used to solve for exercise #3 and #4. Let's say it takes 3000 cows to make enough footballs for one season of the NFL. If the NFL decides to make the official football a bit larger so that it now takes 3400 ..
Show that this theorem 1 is sharp, that is, show that for infinitely many n>=3 there are non-hamiltonian graphs G of order n such that degu+degv>=n-1 for all distinct nonadjacent u and v.
Probability of Arrival, A market in Boston orders oranges from Florida. The oranges are shipped to Boston from Florida by either railroad, truck, or airplane
Show that log(r), where this is log base 10, is irrational when r is a positive rational that is not an integral power of 10
An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task.
Let A be a complex number and B a real number. Show that the equation |z|^2+Re(Az)+B=0 has a solution if and only if |A|^2 >= 4B. If this is so, show that the solutions set is a circle or a single point.
You are told that a line is tangent to the circle centred at (3,2) with radius 2. If the tangent line and circle intersect at the point (4, 2+ sqrt(3)) find the equation of the tangent.
Can people really identify their favorite brand of cola.
Evaluate the type of conic from the given equation - Indicate which type of conic each of the following represents.
Let R be the elliptical region in the first quadrant bounded by x^2/3^2 +y^2/2^2 =1. Use the change of variables, x =3u , y =2v , to evaluate the area of R .
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