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Suppose that the distance between London and Edinburgh is 360 miles and that a courier for London sets out from the Scottish city running at 10 mph at the same time that one sets out from the English capital for Edinburgh at 8 mph. Where will the couriers meet? (This exercise and the next two are from Maclaurin's Treatise of Algebra.)
From the matrix S who columns are the three vectors in your basis for E3, and compute J = (S^-1)AS. Notice that if you order the columns of S in the most logical way, J will be triangular.
What is a binomial factor? In your own words, describe the process of factoring by grouping. Explain how the distributive property is used in this process. Give a detailed example of this process.
equilateral triangle with 4 cm side is decreasing infinitely by 1/2. Determined total the area of the triangles?
Prove that any two universal (initial) objects in a category C are equivalent. Prove that any two couniversal (terminal) objects in a category C are equivalent.
a car traveling at 45 miles per hour is brought to a complete stop, at a constant deceleration, 132 feet from where the brakes are applied. How far has the car moved when its speed has been reduced to 15 miles per hour? How far has the car moved w..
Calculating the probability values
5,500,000 gallons of ice cream are produced each day how many days it will take to produce 357,500,000 Define a variable for the value that is unknown.
Linear Fractional Transformation is a Mapping f: C --> C A fixed point of a transformation is a point z_0 so that f(z_0) = z_0. Show that every linear fractional transformation
A rancher has 10,000 linear feet of fencing and wants to enclose a rectangular field and then divide it into four equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture? Round to th..
Jim is able to sell a hand carved statue for $670 which was a 35% profit over cost. How much did the statue originally cost him?
what is the maturity value of an inerest bearing note; the principal is 80,000 at 10% for 60 days.
suppose the trinomial x2 - x - 2 represents the area of a rectangle. what factors represent the length and width of that recangles.
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